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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 Blue Black Purple Black\nYellow Black Black Black Black\nPurple Blue Black Black Purple\nBlack Purple Purple Blue Black\nBlack Black Black Black Purple\n\nOutput:\nBlack Yellow Black Blue Black\nPurple Black Black Black Black\nBlue Yellow Black Black Blue\nBlack Blue Blue Yellow Black\nBlack Black Black Black Blue\n\n\nExample 2\nInput:\nBlack Black Black Blue Blue\nPurple Purple Black Black Black\nBlue Black Black Yellow Purple\nPurple Purple Black Black Black\nBlack Black Purple Black Purple\n\nOutput:\nBlack Black Black Yellow Yellow\nBlue Blue Black Black Black\nYellow Black Black Purple Blue\nBlue Blue Black Black Black\nBlack Black Blue Black Blue\n\n\nExample 3\nInput:\nBlack Purple Black Black Black\nBlack Yellow Black Black Black\nBlack Yellow Blue Blue Purple\nBlack Black Black Yellow Black\nBlack Blue Purple Blue Black\n\nOutput:\nBlack Blue Black Black Black\nBlack Purple Black Black Black\nBlack Purple Yellow Yellow Blue\nBlack Black Black Purple Black\nBlack Yellow Blue Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Black Black Black\nBlack Blue Blue Blue Black\nPurple Black Black Black Black\nBlue Yellow Purple Blue Blue\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Black Black Black\nBlack Yellow Yellow Yellow Black\nBlue Black Black Black Black\nYellow Purple Blue Yellow Yellow\nBlack Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black 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 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 Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black 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 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Green Green Black Black\nBlack Black Green Green Green Black Black\nBlack Black Green Green Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black\nBlack Black Green Green Green Black Black\nBlack Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Green Green Black Black\nBlack Black Green Green Green Black Black\nBlack Black Green Green Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black\nBlack Black Green Green Green Black Black\nBlack Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Gray Black\nBlack Black Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Green Yellow Yellow Green Yellow Yellow\nGreen Yellow Yellow Blue Yellow Yellow Green\nYellow Yellow Blue Blue Blue Green Yellow\nYellow Blue Blue Blue Blue Blue Yellow\nGreen Yellow Blue Blue Blue Yellow Yellow\nYellow Yellow Yellow Blue Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Black Yellow Yellow Black Yellow Yellow\nBlack Yellow Yellow Blue Yellow Yellow Black\nYellow Yellow Blue Blue Blue Black Yellow\nYellow Blue Blue Blue Blue Blue Yellow\nBlack Yellow Blue Blue Blue Yellow Yellow\nYellow Yellow Yellow Blue Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nYellow Green Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Blue Blue Blue Yellow Yellow\nYellow Blue Blue Blue Blue Blue Green\nYellow Yellow Yellow Blue Blue Blue Green\nYellow Blue Blue Blue Blue Blue Yellow\nYellow Yellow Blue Blue Blue Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Blue Blue Blue Yellow Yellow\nYellow Blue Blue Blue Blue Blue Black\nYellow Yellow Yellow Blue Blue Blue Black\nYellow Blue Blue Blue Blue Blue Yellow\nYellow Yellow Blue Blue Blue Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Green\nYellow Yellow Yellow Blue Blue Yellow Yellow\nGreen Yellow Yellow Blue Blue Yellow Yellow\nYellow Yellow Yellow Blue Blue Yellow Green\nYellow Blue Blue Blue Blue Yellow Yellow\nYellow Blue Blue Blue Blue Blue Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Blue Blue Yellow Yellow\nBlack Yellow Yellow Blue Blue Yellow Yellow\nYellow Yellow Yellow Blue Blue Yellow Black\nYellow Blue Blue Blue Blue Yellow Yellow\nYellow Blue Blue Blue Blue Blue Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Blue Blue Blue Blue Blue Yellow\nYellow Blue Blue Blue Blue Blue Green\nYellow Blue Blue Yellow Blue Blue Yellow\nYellow Yellow Blue Green Blue Yellow Yellow\nYellow Blue Blue Yellow Blue Blue Yellow\nYellow Yellow Yellow Yellow Yellow 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```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Blue Blue Blue Blue Blue Yellow\nYellow Blue Blue Blue Blue Blue Black\nYellow Blue Blue Yellow Blue Blue Yellow\nYellow Yellow Blue Black Blue Yellow Yellow\nYellow Blue Blue Yellow Blue Blue Yellow\nYellow Yellow Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Pink Black Brown Brown Brown Brown Brown Black Black\nBlack Pink Pink Pink Pink Pink Brown Brown Brown Brown Black Black\nBlack Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Black\nPink Pink Pink Pink Pink Pink Pink Brown Brown Brown Black Black\nBlack Pink Pink Pink Pink Pink Brown Brown Brown Brown Black Black\nBlack Pink Pink Pink Pink Pink Black Brown Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Pink Black Brown Brown Brown Black Black Black Black\nBlack Pink Pink Pink Pink Pink Brown Brown Black Black Black Black\nBlack Pink Pink Pink Pink Pink Brown Brown Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Brown Black Black Black Black\nBlack Pink Pink Pink Pink Pink Brown Brown Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Brown Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Brown Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Pink Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Pink Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nPink Pink Pink Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Brown Black Black Blue Brown Brown Brown Black Black\nBlack Purple Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown 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 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 Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Purple Black Black Black Black\nBlack Black Black Black Black Green Green Green Purple Purple Purple Black Black Black\nBlack Black Black Black Green Green Green Green Green Purple Purple Purple Black Black\nBlack Black Black Pink Pink Green Green Green Purple Purple Purple Black Black Black\nBlack Black Black Black Pink Pink Green Black Black Purple Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Green Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Green Green Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Green Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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\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 Purple 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:\nPurple Purple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple\nBlack Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Orange Orange Orange\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 Black Black Black Black Gray Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink\nBlack Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\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 Brown Black Pink Black Black Pink Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Black Black Black Purple Black Black Black\nBlack Purple Black Purple Black Black Black Black\nBrown Black Brown Black Pink Pink Black Pink\nBlack Purple Black Purple Black Black Pink Black\nBrown Black Brown Black Purple Pink Black Pink\n\n\nExample 2\nInput:\nBlack Black Black Red Black Black Black\nBlack Black 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 Blue 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 Orange Black Orange Black Black Black\nBlack Black Orange Black Black Black Black\nBlack Orange Black Orange Black Black Black\nBlack Black Blue Black Black Black Blue\nBlack Black Black Blue Black Blue Black\nBlack Black Black Black Blue Black Black\nBlack Black Black Blue Black Blue Black\nBlack Black Blue Black Black Black Blue\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Gray Black Black Black Black Purple\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Black Green Black\nBlack Black Black Black Green Black Black\nBlack Black Black Green Black Green Black\nBlack Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black\nGray Black Gray Black Black Black Black\nBlack Gray Black Black Black Black Purple\nGray Black Gray Black Black Black Black\nBlue Black Blue Black Black Black Black\nBlack Blue Black Black Black Black Black\nBlue Black Blue 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 Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBrown Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nOrange 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\nPink Black Black Pink Black Pink Pink Black Black\nBlack Pink Black Black Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black\nBrown Black Pink Pink Black Black Pink Black Black\nBlack Black Pink Black Pink Black Black Black Gray\nBlack Pink Black Black Black Pink Black Black Black\nPink Black Black Black Black Black Pink Black Black\nOrange Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Red Red Red 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 Red Red Red 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 Red Red Red 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\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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue 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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black\nRed Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red 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\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\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 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 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 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 Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 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 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 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 Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Black Black Black 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\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 Blue Blue Blue\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 Blue Blue Blue\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 Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Purple Purple Purple Purple Purple Purple Purple Purple 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Red Red Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Red Red Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray 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\n\nOutput:\nRed Red Black Black Orange Orange\nRed Red Black Black Orange Orange\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Black Black Black Black\nRed Red Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\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\nBlack Black Orange Orange Black Black\nBlack Black Orange Orange Black Black\n\n\nExample 3\nInput:\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange\nYellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Orange Orange 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\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Gray Gray Black\nBlack Black Black Black Black Black Green Green Green Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Blue Black Green Green Black Black Black Black\nBlack Black Blue Blue Black Green Green Black Black Black Black\nBlack Black Blue Blue Black Green Green Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Orange Orange 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 Pink Black 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\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 Green Red Red Red Black Black\nBlack Black Blue Green Black Red Red Red Green Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Green Red Red Red Black Black\nBlack Black Blue Green Red Red Red Red Green Black Black\nBlack Black Blue Blue Green Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Yellow Black Black Black Black Black Black\nGreen Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Blue Black\nBlack Red Red Black Black Red Blue Black\nBlack Red Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black\nBlack Black Black Green Red Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Black Black Black Black Black Black\nGreen Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Blue Black\nBlack Red Red Red Black Red Blue Black\nBlack Red Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black\nBlack Black Black Green Red Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Green Red 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 Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Green Green Red 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 Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Yellow Yellow 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 Green Red Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red\nBlue Blue Black Black Black Black Black Red Red\nBlue Yellow Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Green Blue\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 Green Red Black Blue Green Black Black\nBlack Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red\nBlue Blue Black Black Black Black Black Red Red\nBlue Yellow Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Green Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\n\nOutput:\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\n\nOutput:\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\nYellow Yellow Purple Purple Gray Gray Blue Blue Brown Brown Green Green Red Red Orange Orange Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\n\nOutput:\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Red Red Gray Gray Yellow Yellow Orange Orange Brown Brown Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue 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```\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Yellow Yellow Blue Blue 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:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Purple Purple Purple Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Green Green Green Pink Pink Pink\nPink Pink Pink Purple Purple Purple Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Green Green Green Pink Pink Pink\nPink Pink Pink Purple Purple Purple Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Green Green Green Pink Pink Pink\nPink Pink Pink Green Green Green Green Green Green Purple Purple Purple Blue Blue Blue Orange Orange Orange Green Green Green Pink Pink Pink\nPink Pink Pink Green Green Green Green Green Green Purple Purple Purple Blue Blue Blue Orange Orange Orange Green Green Green Pink Pink Pink\nPink Pink Pink Green Green Green Green Green Green Purple Purple Purple Blue Blue Blue Orange Orange Orange Green Green Green Pink Pink Pink\nPink Pink Pink Orange Orange Orange Orange Orange Orange Red Red Red Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Orange Orange Orange Red Red Red Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink\nPink Pink Pink Orange Orange Orange Orange Orange Orange Red Red Red Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink\nPink Pink Pink Purple Purple Purple Gray Gray Gray Pink Pink Pink Blue Blue Blue Orange Orange Orange Gray Gray Gray Pink Pink Pink\nPink Pink Pink Purple Purple Purple Gray Gray Gray Pink Pink Pink Blue Blue Blue Orange Orange Orange Gray Gray Gray Pink Pink Pink\nPink Pink Pink Purple Purple Purple Gray Gray Gray Pink Pink Pink Blue Blue Blue Orange Orange Orange Gray Gray Gray Pink Pink Pink\nPink Pink Pink Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Pink Pink Pink\nPink Pink Pink Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Pink Pink Pink\nPink Pink Pink Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Pink Pink Pink\nPink Pink Pink Brown Brown Brown Orange Orange Orange Pink Pink Pink Gray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink\nPink Pink Pink Brown Brown Brown Orange Orange Orange Pink Pink Pink Gray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink\nPink Pink Pink Brown Brown Brown Orange Orange Orange Pink Pink Pink Gray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Brown Brown Brown Black Black Black Red Red Red Orange Orange Orange Brown Brown Brown Blue Blue Blue Pink Pink Pink\nPink Pink Pink Brown Brown Brown Black Black Black Red Red Red Orange Orange Orange Brown Brown Brown Blue Blue Blue Pink Pink Pink\nPink Pink Pink Brown Brown Brown Black Black Black Red Red Red Orange Orange Orange Brown Brown Brown Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Brown Brown Brown Orange Orange Orange Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Brown Brown Brown Orange Orange Orange Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Brown Brown Brown Orange Orange Orange Pink Pink Pink Pink Pink Pink\nPink Pink Pink Brown Brown Brown Red Red Red Purple Purple Purple Yellow Yellow Yellow Pink Pink Pink Red Red Red Pink Pink Pink\nPink Pink Pink Brown Brown Brown Red Red Red Purple Purple Purple Yellow Yellow Yellow Pink Pink Pink Red Red Red Pink Pink Pink\nPink Pink Pink Brown Brown Brown Red Red Red Purple Purple Purple Yellow Yellow Yellow Pink Pink Pink Red Red Red Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Purple Purple Purple Red Red Red Brown Brown Brown Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Purple Purple Purple Red Red Red Brown Brown Brown Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Purple Purple Purple Red Red Red Brown Brown Brown Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Green Green Green Pink Pink Pink Brown Brown Brown Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Green Green Green Pink Pink Pink Brown Brown Brown Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Green Green Green Pink Pink Pink Brown Brown Brown Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Orange Orange Orange Pink Pink Pink Brown Brown Brown Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Orange Orange Orange Pink Pink Pink Brown Brown Brown Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Orange Orange Orange Pink Pink Pink Brown Brown Brown Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Brown Brown Brown Orange Orange Orange Red Red Red Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Brown Brown Brown Orange Orange Orange Red Red Red Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Brown Brown Brown Orange Orange Orange Red Red Red Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Pink Pink Pink Green Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Pink Pink Pink Green Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Pink Pink Pink Green Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Purple Purple Purple Black Black Black Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Purple Purple Purple Black Black Black Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Purple Purple Purple Black Black Black Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Pink Pink Pink Purple Purple Purple Black Black Black Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Pink Pink Pink Purple Purple Purple Black Black Black Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Pink Pink Pink Purple Purple Purple Black Black Black Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Red Red Red Black Black Black Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Red Red Red Black Black Black Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Red Red Red Black Black Black Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Pink Pink Pink Green Green Green Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Pink Pink Pink Green Green Green Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Pink Pink Pink Green Green Green Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Blue Blue Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Blue Blue Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Blue Blue Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Pink Pink Pink Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Pink Pink Pink Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Pink Pink Pink Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Orange Orange Orange Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Red Red Red Gray Gray Gray Orange Orange Orange Brown Brown Brown\nBrown Brown Brown Orange Orange Orange Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Red Red Red Gray Gray Gray Orange Orange Orange Brown Brown Brown\nBrown Brown Brown Orange Orange Orange Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Red Red Red Gray Gray Gray Orange Orange Orange Brown Brown Brown\nBrown Brown Brown Green Green Green Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Green Green Green Orange Orange Orange Brown Brown Brown\nBrown Brown Brown Green Green Green Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Green Green Green Orange Orange Orange Brown Brown Brown\nBrown Brown Brown Green Green Green Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Green Green Green Orange Orange Orange Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Purple Purple Purple Blue Blue Blue Pink Pink Pink Gray Gray Gray Orange Orange Orange Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Purple Purple Purple Blue Blue Blue Pink Pink Pink Gray Gray Gray Orange Orange Orange Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Purple Purple Purple Blue Blue Blue Pink Pink Pink Gray Gray Gray Orange Orange Orange Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Orange Orange Orange Blue Blue Blue Green Green Green Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Orange Orange Orange Blue Blue Blue Green Green Green Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Orange Orange Orange Blue Blue Blue Green Green Green Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Purple Purple Purple Red Red Red Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Purple Purple Purple Red Red Red Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Purple Purple Purple Red Red Red Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Brown Brown Brown Purple Purple Purple Orange Orange Orange Green Green Green Red Red Red Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Brown Brown Brown Purple Purple Purple Orange Orange Orange Green Green Green Red Red Red Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Brown Brown Brown Purple Purple Purple Orange Orange Orange Green Green Green Red Red Red Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Red Red Red Pink Pink Pink Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Red Red Red Pink Pink Pink Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Red Red Red Pink Pink Pink Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Blue Blue Blue Green Green Green Orange Orange Orange Orange Orange Orange Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Blue Blue Blue Green Green Green Orange Orange Orange Orange Orange Orange Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Blue Blue Blue Green Green Green Orange Orange Orange Orange Orange Orange Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Brown Brown Brown Green Green Green Green Green Green Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Brown Brown Brown Green Green Green Green Green Green Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Brown Brown Brown Green Green Green Green Green Green Pink Pink Pink\nPink Pink Pink Pink Pink Pink Red Red Red Orange Orange Orange Gray Gray Gray Green Green Green Purple Purple Purple Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Pink Pink Pink Red Red Red Orange Orange Orange Gray Gray Gray Green Green Green Purple Purple Purple Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Pink Pink Pink Red Red Red Orange Orange Orange Gray Gray Gray Green Green Green Purple Purple Purple Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Orange Orange Orange Blue Blue Blue Orange Orange Orange Purple Purple Purple Red Red Red Brown Brown Brown Pink Pink Pink Pink Pink Pink\nPink Pink Pink Orange Orange Orange Blue Blue Blue Orange Orange Orange Purple Purple Purple Red Red Red Brown Brown Brown Pink Pink Pink Pink Pink Pink\nPink Pink Pink Orange Orange Orange Blue Blue Blue Orange Orange Orange Purple Purple Purple Red Red Red Brown Brown Brown Pink Pink Pink Pink Pink Pink\nPink Pink Pink Red Red Red Blue Blue Blue Gray Gray Gray Pink Pink Pink Orange Orange Orange Orange Orange Orange Blue Blue Blue Pink Pink Pink\nPink Pink Pink Red Red Red Blue Blue Blue Gray Gray Gray Pink Pink Pink Orange Orange Orange Orange Orange Orange Blue Blue Blue Pink Pink Pink\nPink Pink Pink Red Red Red Blue Blue Blue Gray Gray Gray Pink Pink Pink Orange Orange Orange Orange Orange Orange Blue Blue Blue Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink\nPink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Pink Pink Pink\nPink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Pink Pink Pink\nPink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Pink Pink Pink\nPink Pink Pink Blue Blue Blue Brown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nPink Pink Pink Blue Blue Blue Brown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nPink Pink Pink Blue Blue Blue Brown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Orange Orange Orange Brown Brown Brown Brown Brown Brown Pink Pink Pink Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink\nPink Pink Pink Orange Orange Orange Brown Brown Brown Brown Brown Brown Pink Pink Pink Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink\nPink Pink Pink Orange Orange Orange Brown Brown Brown Brown Brown Brown Pink Pink Pink Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink\nPink Pink Pink Purple Purple Purple Green Green Green Pink Pink Pink Red Red Red Blue Blue Blue Brown Brown Brown Orange Orange Orange Pink Pink Pink\nPink Pink Pink Purple Purple Purple Green Green Green Pink Pink Pink Red Red Red Blue Blue Blue Brown Brown Brown Orange Orange Orange Pink Pink Pink\nPink Pink Pink Purple Purple Purple Green Green Green Pink Pink Pink Red Red Red Blue Blue Blue Brown Brown Brown Orange Orange Orange Pink Pink Pink\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Green Green Green Black Black Black Purple Purple Purple Pink Pink Pink\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Green Green Green Black Black Black Purple Purple Purple Pink Pink Pink\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Green Green Green Black Black Black Purple Purple Purple Pink Pink Pink\nPink Pink Pink Green Green Green Yellow Yellow Yellow Red Red Red Purple Purple Purple Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Green Green Green Yellow Yellow Yellow Red Red Red Purple Purple Purple Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Green Green Green Yellow Yellow Yellow Red Red Red Purple Purple Purple Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Orange Orange Orange Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nPink Pink Pink Orange Orange Orange Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nPink Pink Pink Orange Orange Orange Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Purple Purple Purple Red Red Red Purple Purple Purple Red Red Red Purple Purple Purple Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Purple Purple Purple Red Red Red Purple Purple Purple Red Red Red Purple Purple Purple Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Purple Purple Purple Red Red Red Purple Purple Purple Red Red Red Purple Purple Purple Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Purple Purple Purple Blue Blue Blue Red Red Red Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Purple Purple Purple Blue Blue Blue Red Red Red Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Purple Purple Purple Blue Blue Blue Red Red Red Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink 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 Pink Black Black Black Pink Black Black Black Black Black Black\nBlack Pink Black Pink Black Pink Black Black Pink Black Black Black\nBlack Pink Pink Black Pink Pink Pink Pink Black Pink Black Pink\nBlack Black Black Black Pink Black Black Black Black Black Black Pink\nPink Pink Black Pink Black Pink Pink Black Pink Pink Pink Pink\nBlack Black Black Pink Black Pink Pink Pink Black Black Black Black\nBlack Pink Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Pink Black Pink Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Black Pink Black Pink Black Black Black\nBlack Pink Black Black Black Pink Black Black Black Pink Black Pink\nPink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Black Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nYellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow\nBlack Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Black Yellow\nBlack Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Black\nYellow Black Black Yellow Black Black Black Yellow Black Yellow Yellow Yellow\nYellow Yellow Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black Black Black\nYellow Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Yellow Black Yellow Black\nYellow Black Black Black Yellow Black Yellow Yellow Black Yellow Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Brown Brown Black Black Black Brown Brown Black Black Brown\nBlack Black Black Brown Black Black Black Black Black Brown Brown Black\nBlack Black Black Brown Black Brown Brown Black Brown Brown Black Brown\nBrown Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Brown Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Brown Black Black Brown Black Brown Brown Brown Brown Brown Brown\nBlack Brown Brown Black Brown Black Brown Brown Brown Brown Brown Black\nBrown Brown Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Brown Brown Black Black Black Black Brown Brown Black Black\nBlack Brown Black Black Brown Brown Black Brown Black Black Black Black\nBlack Black Black Brown Black Black Black Black Brown Brown Black Black\nBlack Brown Black Brown Black Brown Brown Brown Brown Brown Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Pink Pink Black Pink Black Pink Black Black Black Black\nBlack Black Pink Pink Black Pink Pink Black Pink Pink Black Black\nPink Black Pink Black Pink Black Pink Pink Pink Black Black Black\nBlack Black Pink Black Black Black Black Pink Black Black Pink Pink\nPink Black Black Pink Pink Pink Black Black Black Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Black\nPink Black Pink Pink Pink Pink Pink Pink Black Black Black Pink\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Black Pink Pink Black 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```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Orange Orange Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nPurple Black Black Blue Black Black Black Black Black Black\nPurple Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Blue Black Blue 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 Red Red Red Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Black Blue Black Black Yellow Purple Black Black\nBlue Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Gray Blue Black\nBlack Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Pink Pink Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Black Blue Black Black Yellow Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Blue Black\nBlack Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown 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\n\nExample 3\nInput:\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Gray\nBlack Gray Gray Gray Black Black Black Black Blue Gray\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Blue Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Blue Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Blue Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black 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 Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Orange Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black 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 Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nYellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nGreen Green Green Pink Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nYellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nGreen Green Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nYellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nGreen Green Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nYellow Yellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nGreen Green Green Green Pink Yellow Yellow Yellow Yellow Yellow\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 Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple\n\nOutput:\nPurple Purple Purple Purple Purple Purple Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red 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 Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Yellow Yellow 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\nYellow Yellow Yellow 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\nYellow Yellow Yellow 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 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\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\n\nOutput:\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Red Red Red Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Blue Blue Blue Yellow Yellow Yellow 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 Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red 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\nRed Red Red 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\nRed Red Red 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\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 Yellow Yellow Yellow Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 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\n\n\nDirectly provide the output grids corresponding to the given test input 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 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\nBlue Blue Blue 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\nBlue Blue Blue 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\nYellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Red Red Red Black Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Red Red Red Black Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Red Red Red Black Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Red Red Red Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Red Red Red Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Red Red Red Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Green Green Green 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 Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray 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 Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple 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 Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Red Red Black\nGreen Green Black Black Black Black Black Black Black Red Red Black\nGreen Green Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Black Black Black Black\nBlue Red Red Blue Black Black Black Black\nBlue Red Red Blue Black Black Black Black\nRed Red Red Red Black Black Black Black\nRed Red Red Red Black Black Black Black\nRed Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green\nGreen Blue Blue Green\nGreen Blue Blue Green\nBlue Blue Blue Blue\nBlue Blue Blue Blue\nBlue Blue Blue Blue\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Blue Red\nBlack Black Black Black Black Black Black Black Green Green Green Blue Red Red Blue Blue Red\nBlack Black Black Black Black Black Black Black Black Black Green Green Red Blue Blue Green Blue\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Green Red\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 Green Blue Blue\nBlack Black Black Black Black Black Red Green Blue\nRed Red Red Green Blue Blue Green Green Blue\nBlack Black Red Red Blue Green Green Red Green\nBlack Black Black Blue Blue Blue Blue Red Blue\n\n\nExample 3\nInput:\nBlack Black Blue Green Black Black Green Blue Black Black\nBlack Black Red Red Blue Blue Red Red Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Green Green Red Blue Blue Red Green Green Black\nBlack Green Green Red Blue Blue Red Green Green Black\nBlack Blue Green Red Green Green Red Green Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Red Black Black Red Green Black\nBlack Blue Blue Green Green Blue Blue Black\nBlack Black Black Green Green Black Black Black\nRed Red Blue Green Green Blue Red Red\nRed Red Blue Green Green Blue Red Red\nGreen Red Blue Red Red Blue Red Green\nGreen Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Red Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black 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```\nBlue Black Blue Blue\nBlue Blue Blue Black\nBlack Blue Blue Blue\nBlue Blue 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 Green Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Blue Red Red 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nRed Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\n\n\nExample 2\nInput:\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\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Yellow Black Black Black\n\nOutput:\nRed Red Red Red Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Yellow Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Blue Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black\n\nOutput:\nRed Red Red Red Red Red Red Green Red Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Green Black Yellow\nBlack Black Black Black Black Black Black Green Black Yellow\nBlack Black Yellow Black Black Black Black Green Black Yellow\nRed Red Yellow Red Black Black Black Green Black Yellow\nBlack Black Yellow Black Black Black Yellow Green Black Yellow\nBlack Black Yellow Black Black Black Yellow Green Black Yellow\nBlack Black Yellow Black Black Black Yellow Green Black Yellow\nBlack Black Yellow Black Black Black Yellow Green Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Red 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red\nBlack Blue Black Black Black Black Green Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Black Black Black Black Black Green Black Black Black\nGreen Red Red Red Red Black Green Black Black Black\nGreen Red Red Red Red Black Green Black Black Black\nGreen Black Black Black Black Black Green Black Black Black\nGreen Red Red Red Red Red Green Black Black Black\nGreen Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nRed Red Red Red Red Red Green Red Red Red\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Black Black Black Black Brown Brown Pink Pink Black Black Brown Brown Pink Pink\nOrange Orange Black Black Black Black Brown Brown Pink Pink Black Black Brown Brown Pink Pink\nBlack Black Red Red Yellow Yellow Black Black Blue Blue Orange Orange Black Black Black Black\nBlack Black Red Red Yellow Yellow Black Black Blue Blue Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Green Green Purple Purple Green Green\nBlack Black Black Black Black Black Black Black Purple Purple Green Green Purple Purple Green Green\nBlack Black Black Black Pink Pink Black Black Orange Orange Black Black Yellow Yellow Orange Orange\nBlack Black Black Black Pink Pink Black Black Orange Orange Black Black Yellow Yellow Orange Orange\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Purple\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\nBrown Brown Black Black Orange Orange Black Black Orange Orange Purple Purple Black Black Black Black\nBrown Brown Black Black Orange Orange Black Black Orange Orange Purple Purple Black Black Black Black\nPurple Purple Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black\nPurple Purple Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Green Green\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 Brown Brown Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Brown Brown Red Red Black Black Red Red Black Black\nBlack Black Black Black Brown Brown Red Red Black Black Red Red Black Black\nGreen Green Black Black Orange Orange Pink Pink Purple Purple Brown Brown Brown Brown\nGreen Green Black Black Orange Orange Pink Pink Purple Purple Brown Brown Brown Brown\nBlack Black Blue Blue Purple Purple Blue Blue Orange Orange Black Black Black Black\nBlack Black Blue Blue Purple Purple Blue Blue Orange Orange Black Black Black Black\nBlack Black Black Black Pink Pink Gray Gray Black Black Purple Purple Blue Blue\nBlack Black Black Black Pink Pink Gray Gray Black Black Purple Purple Blue Blue\nBrown Brown Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBrown Brown Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nRed Red Black Black Black Black Gray Gray Red Red Purple Purple Black Black\nRed Red Black Black Black Black Gray Gray Red Red Purple Purple Black Black\nBlue Blue Purple Purple Black Black Pink Pink Pink Pink Blue Blue Brown Brown\nBlue Blue Purple Purple Black Black Pink Pink Pink Pink Blue Blue Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Pink Pink Blue Blue Purple Purple Red Red\nBlack Black Black Black Black Black Pink Pink Blue Blue Purple Purple Red Red\nBlack Black Black Black Black Black Black Black Blue Blue Orange Orange Red Red\nBlack Black Black Black Black Black Black Black Blue Blue Orange Orange Red Red\nBlack Black Black Black Black Black Black Black Gray Gray Orange Orange Brown Brown\nBlack Black Black Black Black Black Black Black Gray Gray Orange Orange Brown Brown\nBlack Black Black Black Black Black Black Black Pink Pink Blue Blue Purple Purple\nBlack Black Black Black Black Black Black Black Pink Pink Blue Blue Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Orange Orange\n\n\nExample 3\nInput:\nBlack Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Gray Gray Brown Brown Black Black Purple Purple Green Green Yellow Yellow Black Black\nOrange Orange Black Black Gray Gray Brown Brown Black Black Purple Purple Green Green Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Gray Gray\nBlack Black Yellow Yellow Blue Blue Brown Brown Orange Orange Black Black Black Black Black Black Blue Blue\nBlack Black Yellow Yellow Blue Blue Brown Brown Orange Orange Black Black Black Black Black Black Blue Blue\nBlack Black Gray Gray Blue Blue Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Blue Blue Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Black Black\nGreen Green Yellow Yellow Black Black Black Black Black Black Black Black Pink Pink Red Red Purple Purple\nGreen Green Yellow Yellow Black Black Black Black Black Black Black Black Pink Pink Red Red Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Brown Brown Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Brown Brown Green Green\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Brown Brown Brown Brown Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Brown Brown Brown Brown Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Gray Gray Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Gray Gray Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Gray Gray Black Black Blue Blue Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Gray Gray Black Black Blue Blue Black Black Black Black Black Black Gray Gray\nBlack Black Blue Blue Black Black Pink Pink Black Black Yellow Yellow Purple Purple Black Black Orange Orange\nBlack Black Blue Blue Black Black Pink Pink Black Black Yellow Yellow Purple Purple Black Black Orange Orange\nBlack Black Green Green Red Red Black Black Purple Purple Black Black Purple Purple Brown Brown Black Black\nBlack Black Green Green Red Red Black Black Purple Purple Black Black Purple Purple Brown Brown Black Black\nBlack Black Blue Blue Black Black Black Black Brown Brown Red Red Black Black Purple Purple Black Black\nBlack Black Blue Blue Black Black Black Black Brown Brown Red Red Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Orange Orange Blue Blue Yellow Yellow Purple Purple Black Black Yellow Yellow\nBlack Black Black Black Black Black Orange Orange Blue Blue Yellow Yellow Purple Purple Black Black Yellow Yellow\nBlack Black Orange Orange Yellow Yellow Brown Brown Orange Orange Black Black Black Black Red Red Black Black\nBlack Black Orange Orange Yellow Yellow Brown Brown Orange Orange Black Black Black Black Red Red Black Black\nBlack Black Pink Pink Black Black Brown Brown Black Black Black Black Gray Gray Gray Gray Yellow Yellow\nBlack Black Pink Pink Black Black Brown Brown Black Black Black Black Gray Gray Gray Gray Yellow Yellow\nGray Gray Blue Blue Purple Purple Pink Pink Black Black Black Black Black Black Pink Pink Black Black\nGray Gray Blue Blue Purple Purple Pink Pink Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Gray Gray Black Black Green Green Pink Pink Gray Gray Black Black Brown Brown Purple Purple\nBlack Black Gray Gray Black Black Green Green Pink Pink Gray Gray Black Black Brown Brown Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Red Red Pink Pink Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Red Red Pink Pink Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Blue Blue Red Red Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Blue Blue Red Red Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Blue Blue 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 Brown Black Brown Black Brown Black Brown\nBlack Orange Black Orange Black Orange Black Orange\nBlack Pink Black Pink Black Pink Black Pink\nBlack Gray Black Gray Black Gray Black Gray\nBlack Purple Black Purple Black Purple Black Purple\nBlack Brown Black Brown Black Brown Black Brown\nBlack Pink Black Pink Black Pink Black Pink\nBlack Yellow Black Yellow Black Yellow Black Yellow\nBlack Pink Black Pink Black Pink Black Pink\n\nOutput:\nBrown Black Brown Black Brown Black Brown Black\nOrange Black Orange Black Orange Black Orange Black\nPink Black Pink Black Pink Black Pink Black\nGray Black Gray Black Gray Black Gray Black\nPurple Black Purple Black Purple Black Purple Black\nBrown Black Brown Black Brown Black Brown Black\nPink Black Pink Black Pink Black Pink Black\nYellow Black Yellow Black Yellow Black Yellow Black\nPink Black Pink Black Pink Black Pink Black\n\n\nExample 2\nInput:\nGray Black Gray Black Gray Black Gray\nBlue Black Blue Black Blue Black Blue\nPink Black Pink Black Pink Black Pink\nGreen Black Green Black Green Black Green\nRed Black Red Black Red Black Red\nBlue Black Blue Black Blue Black Blue\nYellow Black Yellow Black Yellow Black Yellow\nOrange Black Orange Black Orange Black Orange\n\nOutput:\nBlack Gray Black Gray Black Gray Gray\nBlack Blue Black Blue Black Blue Blue\nBlack Pink Black Pink Black Pink Pink\nBlack Green Black Green Black Green Green\nBlack Red Black Red Black Red Red\nBlack Blue Black Blue Black Blue Blue\nBlack Yellow Black Yellow Black Yellow Yellow\nBlack Orange Black Orange Black Orange Orange\n\n\nExample 3\nInput:\nPurple Black Purple Black Purple Black Purple\nOrange Black Orange Black Orange Black Orange\nBlue Black Blue Black Blue Black Blue\nGreen Black Green Black Green Black Green\nRed Black Red Black Red Black Red\nYellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow\nBrown Black Brown Black Brown Black Brown\nGray Black Gray Black Gray Black Gray\n\nOutput:\nBlack Purple Black Purple Black Purple Purple\nBlack Orange Black Orange Black Orange Orange\nBlack Blue Black Blue Black Blue Blue\nBlack Green Black Green Black Green Green\nBlack Red Black Red Black Red Red\nBlack Yellow Black Yellow Black Yellow Yellow\nBlack Yellow Black Yellow Black Yellow Yellow\nBlack Brown Black Brown Black Brown Brown\nBlack Gray Black Gray Black Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBrown Black Brown Black Brown Black Brown Black Brown\nGray Black Gray Black Gray Black Gray Black Gray\nBrown Black Brown Black Brown Black Brown Black Brown\nPink Black Pink Black Pink Black Pink Black Pink\nGreen Black Green Black Green Black Green Black Green\nGray Black Gray Black Gray Black Gray Black Gray\nPink Black Pink Black Pink Black Pink Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Brown Black Brown Black Brown Black Brown Brown\nBlack Gray Black Gray Black Gray Black Gray Gray\nBlack Brown Black Brown Black Brown Black Brown Brown\nBlack Pink Black Pink Black Pink Black Pink Pink\nBlack Green Black Green Black Green Black Green Green\nBlack Gray Black Gray Black Gray Black Gray Gray\nBlack Pink Black Pink Black Pink Black Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Blue\n\nOutput:\nRed Black Black Black Black Black Black Black Black Red\nBlack Red Black Black Black Black Black Black Red Black\nBlack Black Red Black Black Black Black Red Black Black\nBlack Black Black Red Black Black Red Black 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 Red Black Black Red Black Black Black\nBlack Black Red Black Black Black Black Red Black Black\nBlack Red Black Black Black Black Black Black Red Black\nRed Black Black Black Black Black Black Black Black Red\n\n\nExample 2\nInput:\nPurple Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Red\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Blue\nBlack Blue Black Black Black Black Black Black Blue Black\nBlack Black Blue Black Black Black Black Blue Black Black\nBlack Black Black Blue Black Black Blue Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Blue Black Black Blue Black Black Black\nBlack Black Blue Black Black Black Black Blue Black Black\nBlack Blue Black Black Black Black Black Black Blue Black\nBlue Black Black Black Black Black Black Black Black Blue\n\n\nExample 3\nInput:\nBrown Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Red\n\nOutput:\nPurple Black Black Black Black Black Black Black Black Purple\nBlack Purple Black Black Black Black Black Black Purple Black\nBlack Black Purple Black Black Black Black Purple Black Black\nBlack Black Black Purple Black Black Purple Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Purple Black Black Purple Black Black Black\nBlack Black Purple Black Black Black Black Purple Black Black\nBlack Purple Black Black Black Black Black Black Purple Black\nPurple Black Black Black Black Black Black Black Black Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlue 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Red\nBlack Red Black Black Black Black Black Black Red Black\nBlack Black Red Black Black Black Black Red Black Black\nBlack Black Black Red Black Black Red Black 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 Red Black Black Red Black Black Black\nBlack Black Red Black Black Black Black Red Black Black\nBlack Red Black Black Black Black Black Black Red Black\nRed Black Black Black Black Black Black Black Black 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:\nGray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray\nGray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray\nGray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray\nGray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray\nOrange Orange Orange Orange Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green\nOrange Orange Orange Orange Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green\nOrange Orange Orange Orange Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green\nOrange Orange Orange Orange Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green\nGreen Green Green Green Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray\nGreen Green Green Green Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray\nGreen Green Green Green Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray\nGreen Green Green Green Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray\nPurple Purple Purple Purple Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nPurple Purple Purple Purple Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nPurple Purple Purple Purple Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nPurple Purple Purple Purple Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Orange Orange Orange Orange\nBrown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Orange Orange Orange Orange\nBrown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Orange Orange Orange Orange\nBrown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Orange Orange Orange Orange\nBrown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Green Green Green Green\nBrown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Green Green Green Green\nBrown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Green Green Green Green\nBrown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Green Green Green Green\nBrown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Purple Purple Purple Purple\nBrown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Purple Purple Purple Purple\nBrown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Purple Purple Purple Purple\nBrown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Purple Purple Purple Purple\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown\nBrown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown\nBrown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown\nBrown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown\nBrown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple\nBrown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple\nBrown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple\nBrown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple\nBlue Blue Blue Blue Brown Brown Brown Brown Orange Orange Orange Orange Red Red Red Red\nBlue Blue Blue Blue Brown Brown Brown Brown Orange Orange Orange Orange Red Red Red Red\nBlue Blue Blue Blue Brown Brown Brown Brown Orange Orange Orange Orange Red Red Red Red\nBlue Blue Blue Blue Brown Brown Brown Brown Orange Orange Orange Orange Red Red Red Red\nGray Gray Gray Gray Blue Blue Blue Blue Pink Pink Pink Pink Green Green Green Green\nGray Gray Gray Gray Blue Blue Blue Blue Pink Pink Pink Pink Green Green Green Green\nGray Gray Gray Gray Blue Blue Blue Blue Pink Pink Pink Pink Green Green Green Green\nGray Gray Gray Gray Blue Blue Blue Blue Pink Pink Pink Pink Green Green Green Green\nRed Red Red Red Blue Blue Blue Blue Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nRed Red Red Red Blue Blue Blue Blue Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nRed Red Red Red Blue Blue Blue Blue Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nRed Red Red Red Blue Blue Blue Blue Yellow Yellow Yellow Yellow Orange Orange Orange Orange\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown\nGray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown\nGray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown\nGray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown\nBrown Brown Brown Brown Orange Orange Orange Orange Red Red Red Red Blue Blue Blue Blue\nBrown Brown Brown Brown Orange Orange Orange Orange Red Red Red Red Blue Blue Blue Blue\nBrown Brown Brown Brown Orange Orange Orange Orange Red Red Red Red Blue Blue Blue Blue\nBrown Brown Brown Brown Orange Orange Orange Orange Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Pink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray\nBlue Blue Blue Blue Pink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray\nBlue Blue Blue Blue Pink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray\nBlue Blue Blue Blue Pink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow Orange Orange Orange Orange Red Red Red Red\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow Orange Orange Orange Orange Red Red Red Red\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow Orange Orange Orange Orange Red Red Red Red\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow Orange Orange Orange Orange Red Red Red Red\n\n\nExample 3\nInput:\nGray Gray Gray Gray Orange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown Blue Blue Blue Blue\nGray Gray Gray Gray Orange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown Blue Blue Blue Blue\nGray Gray Gray Gray Orange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown Blue Blue Blue Blue\nGray Gray Gray Gray Orange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Green Green Green Green Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Purple Purple Purple Purple Green Green Green Green Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Purple Purple Purple Purple Green Green Green Green Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Purple Purple Purple Purple Green Green Green Green Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Blue Blue Blue Blue Pink Pink Pink Pink Gray Gray Gray Gray Orange Orange Orange Orange\nPurple Purple Purple Purple Blue Blue Blue Blue Pink Pink Pink Pink Gray Gray Gray Gray Orange Orange Orange Orange\nPurple Purple Purple Purple Blue Blue Blue Blue Pink Pink Pink Pink Gray Gray Gray Gray Orange Orange Orange Orange\nPurple Purple Purple Purple Blue Blue Blue Blue Pink Pink Pink Pink Gray Gray Gray Gray Orange Orange Orange Orange\nPink Pink Pink Pink Purple Purple Purple Purple Orange Orange Orange Orange Blue Blue Blue Blue Green Green Green Green\nPink Pink Pink Pink Purple Purple Purple Purple Orange Orange Orange Orange Blue Blue Blue Blue Green Green Green Green\nPink Pink Pink Pink Purple Purple Purple Purple Orange Orange Orange Orange Blue Blue Blue Blue Green Green Green Green\nPink Pink Pink Pink Purple Purple Purple Purple Orange Orange Orange Orange Blue Blue Blue Blue Green Green Green Green\nRed Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Gray Gray Gray Gray\nRed Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Gray Gray Gray Gray\nRed Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Gray Gray Gray Gray\nRed Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Gray Gray Gray Gray\n\nOutput:\nOrange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown Blue Blue Blue Blue Gray Gray Gray Gray\nOrange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown Blue Blue Blue Blue Gray Gray Gray Gray\nOrange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown Blue Blue Blue Blue Gray Gray Gray Gray\nOrange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown Blue Blue Blue Blue Gray Gray Gray Gray\nPurple Purple Purple Purple Green Green Green Green Orange Orange Orange Orange Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nPurple Purple Purple Purple Green Green Green Green Orange Orange Orange Orange Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nPurple Purple Purple Purple Green Green Green Green Orange Orange Orange Orange Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nPurple Purple Purple Purple Green Green Green Green Orange Orange Orange Orange Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nBlue Blue Blue Blue Pink Pink Pink Pink Gray Gray Gray Gray Orange Orange Orange Orange Purple Purple Purple Purple\nBlue Blue Blue Blue Pink Pink Pink Pink Gray Gray Gray Gray Orange Orange Orange Orange Purple Purple Purple Purple\nBlue Blue Blue Blue Pink Pink Pink Pink Gray Gray Gray Gray Orange Orange Orange Orange Purple Purple Purple Purple\nBlue Blue Blue Blue Pink Pink Pink Pink Gray Gray Gray Gray Orange Orange Orange Orange Purple Purple Purple Purple\nPurple Purple Purple Purple Orange Orange Orange Orange Blue Blue Blue Blue Green Green Green Green Pink Pink Pink Pink\nPurple Purple Purple Purple Orange Orange Orange Orange Blue Blue Blue Blue Green Green Green Green Pink Pink Pink Pink\nPurple Purple Purple Purple Orange Orange Orange Orange Blue Blue Blue Blue Green Green Green Green Pink Pink Pink Pink\nPurple Purple Purple Purple Orange Orange Orange Orange Blue Blue Blue Blue Green Green Green Green Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Gray Gray Gray Gray Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Gray Gray Gray Gray Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Gray Gray Gray Gray Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Gray Gray Gray Gray Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Blue Blue Blue Blue Brown Brown Brown Brown\nPink Pink Pink Pink Blue Blue Blue Blue Brown Brown Brown Brown\nPink Pink Pink Pink Blue Blue Blue Blue Brown Brown Brown Brown\nPink Pink Pink Pink Blue Blue Blue Blue Brown Brown Brown Brown\nGray Gray Gray Gray Brown Brown Brown Brown Pink Pink Pink Pink\nGray Gray Gray Gray Brown Brown Brown Brown Pink Pink Pink Pink\nGray Gray Gray Gray Brown Brown Brown Brown Pink Pink Pink Pink\nGray Gray Gray Gray Brown Brown Brown Brown Pink Pink Pink Pink\nGreen Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink\nGreen Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink\nGreen Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink\nGreen Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Brown Brown Brown Brown Pink Pink Pink Pink\nBlue Blue Blue Blue Brown Brown Brown Brown Pink Pink Pink Pink\nBlue Blue Blue Blue Brown Brown Brown Brown Pink Pink Pink Pink\nBlue Blue Blue Blue Brown Brown Brown Brown Pink Pink Pink Pink\nBrown Brown Brown Brown Pink Pink Pink Pink Gray Gray Gray Gray\nBrown Brown Brown Brown Pink Pink Pink Pink Gray Gray Gray Gray\nBrown Brown Brown Brown Pink Pink Pink Pink Gray Gray Gray Gray\nBrown Brown Brown Brown Pink Pink Pink Pink Gray Gray Gray Gray\nGray Gray Gray Gray Pink Pink Pink Pink Green Green Green Green\nGray Gray Gray Gray Pink Pink Pink Pink Green Green Green Green\nGray Gray Gray Gray Pink Pink Pink Pink Green Green Green Green\nGray Gray Gray Gray Pink Pink Pink Pink Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Red Gray Gray Gray Gray Black Black Gray Black Black Black Black\nBlack Red Red Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Red Red Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Red Gray Gray Gray Gray Black Black Gray Black Black Black Black\nBlack Red Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Orange Gray\nGray Gray Gray\nGray Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Green Green Black Black Gray Black Black Black Black Black\nBlack Green Purple Purple Red Gray Purple Red Black Black Black Black\nBlack Green Brown Gray Red Gray Green Red Black Black Black Black\nBlack Gray Gray Green Green Purple Purple Red Black Black Black Black\nBlack Gray Gray Green Green Purple Purple Red Black Black Black Black\nBlack Green Brown Gray Red Gray Green Red Black Black Black Black\nBlack Green Purple Purple Red Gray Purple Red Black Black Black Black\nBlack Purple Green Green Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Purple Red\nGray Gray Red\nGreen Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black Black\nBlack Black Black Blue Blue Black Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Black Black\nBlue Black Black Black Blue Black Black Black\nBlue Black Black Black Blue Black Black Black\nBlue Blue Black Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Brown Brown Brown Red Brown Black Black Black Black Black Black\nBlack Brown Brown Red Black Red Red Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Brown Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Brown Brown Brown Red Brown Black Black Black Black Black\nBrown Brown Red Black Red Red Brown Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Brown Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Green Green Green Green Green Green Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Green Green Green Green Green Green Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Green Green Green Green Green Green Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Red Red Red Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Red Red Red Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Red Red Red Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nRed Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nRed Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black 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\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\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nRed Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nRed Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Brown Brown Brown Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Brown Brown Brown Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Brown Brown Brown Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Gray Gray Gray Blue Blue Blue Gray Gray Gray\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Gray Gray Gray Blue Blue Blue Gray Gray Gray\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Gray Gray Gray Blue Blue Blue Gray Gray Gray\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black 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 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 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Green Green Green Green Green Green Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Green Green Green Green Green Green Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Green Green Green Green Green Green Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Green Green Green Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Green Green Green Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Green Green Green Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\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 Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue\nOrange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange\nOrange Orange Orange 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\nOrange Orange Orange 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\nOrange Orange Orange 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Blue Blue Blue 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 Red Red Red Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Pink Pink Pink 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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\nOrange Orange Orange Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Red Red Red Orange Orange Orange Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBrown Brown Brown Red Red Red Orange Orange Orange Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBrown Brown Brown Red Red Red Orange Orange Orange Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBrown Brown Brown Yellow Yellow Yellow Red Red Red Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Yellow Yellow Yellow Red Red Red Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Yellow Yellow Yellow Red Red Red Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Gray Gray Gray Green Green Green Green Green Green Gray Gray Gray Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Pink Pink Pink\nBlack Black Black Gray Gray Gray Green Green Green Green Green Green Gray Gray Gray Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Pink Pink Pink\nBlack Black Black Gray Gray Gray Green Green Green Green Green Green Gray Gray Gray Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Pink Pink Pink\nBlack Black Black Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Red Red Red\nBlack Black Black Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Red Red Red\nBlack Black Black Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Red Red Red\nBlack Black Black Brown Brown Brown Red Red Red Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Red Red Red Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Red Red Red Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Purple Purple Purple Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Purple Purple Purple Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Purple Purple Purple Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 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 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 Gray Gray Gray\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 Gray Gray Gray\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 Gray Gray Gray\nGray 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 Black Black Black\nGray 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 Black Black Black\nGray 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 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 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 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Pink Pink Pink\nBlack Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Pink Pink Pink\nBlack Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Pink Pink Pink\nBlack Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange 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 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 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 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 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 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black 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 Purple Purple Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black 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 Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow 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\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 Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Gray Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow 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 Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Green Green Green Black\nBlack Black Black Gray Gray Gray Green Green Green Black\nBlack Black Black Black Gray Black Green Black Green Yellow\n\nOutput:\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Green Green Green Black\nBlack Black Black Gray Gray Gray Green Green Green Black\nBlack Black Black Black Gray Black Green Black Green Yellow\n\n\nExample 2\nInput:\nGray Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Purple Black Black Black Black\nBlack Black Blue Blue Purple Purple Purple Green Green Green\nBlack Black Black Black Black Purple Black Black Green Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange\n\nOutput:\nOrange Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Purple Black Black Black Black\nBlack Black Blue Blue Purple Purple Purple Green Green Green\nBlack Black Black Black Black Purple Black Black Green Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange\n\n\nExample 3\nInput:\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Yellow Black Black Black Black\nBlack Black Black Pink Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Yellow\nBlack Brown Brown Brown Black Black Black Yellow Yellow Yellow\nBlack Brown Brown Brown Black Black Black Black Yellow Black\nBlack Brown Black Brown Black Black Black Black Black Green\n\nOutput:\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Yellow Black Black Black Black\nBlack Black Black Pink Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Yellow\nBlack Brown Brown Brown Black Black Black Yellow Yellow Yellow\nBlack Brown Brown Brown Black Black Black Black Yellow Black\nBlack Brown Black Brown Black Black Black Black Black Green\n\n\nHere is the input grid for the test example:\nInput:\nOrange Black Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Green Green Green Black Blue Black Black\nBlack Black Black Green Green Green Black Blue Black Black\nBlack Black Black Black Green Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Green Green Green Black Blue Black Black\nBlack Black Black Green Green Green Black Blue Black Black\nBlack Black Black Black Green Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Gray Gray Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Gray Black Purple Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Gray Gray Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Gray Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Purple Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black 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\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Purple Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Yellow Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 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 Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Purple Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Purple Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Purple Black Black Black Black Black Black Green Black Black\nBlack Purple Brown Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Green Green Red\nBlack Black Black Black Black Black Green Red Red\nBlack Black Black Black Black Black Yellow Yellow Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Red Green Green Red\nBlack Black Black Black Black Black Green Red Red\nBlack Black Black Black Black Black Yellow Yellow Red\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 Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Green Green Red\nBlack Black Black Black Black Black Green Red Red\nBlack Black Black Black Black Black Yellow Yellow Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Red Green Green Red\nBlack Black Black Black Black Black Green Red Red\nBlack Black Black Black Black Black Yellow Yellow Red\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 Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Red\nBlack Black Black Black Black Black Green Red Red\nBlack Black Black Black Black Black Yellow Yellow Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Green Green Red\nBlack Black Black Black Black Red Green Green Red\nBlack Black Black Black Black Black Green Red Red\nBlack Black Black Black Black Black Yellow Yellow 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 Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Green Green Red\nBlack Black Black Black Black Black Green Red Red\nBlack Black Black Black Black Black Yellow Yellow Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black 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 Red Black Black Black\nBlack Black Black Black Black Red Green Green Red\nBlack Black Black Black Black Black Green Red Red\nBlack Black Black Black Black Black Yellow Yellow Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Black Black Black Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red\nRed Red Red Black Black Black Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red\nRed Red Red Black Black Black Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red\nBlack Black Black Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Gray Gray Gray Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Gray Gray Gray Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Gray Gray Gray Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Red Red Red Red Red Red Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Red Red Red Red Red Red Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Red Red Red Red Red Red Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Brown Brown Brown Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Brown Brown Brown Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Brown Brown Brown Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGreen Green Green Black Black Black Black Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Brown Brown Brown Black Black Black Blue Blue Blue 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 Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red\nRed Red Red Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red\nRed Red Red Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Black Black Black Red Red Red Red Red Red Pink Pink Pink Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nPink Pink Pink Black Black Black Red Red Red Red Red Red Pink Pink Pink Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nPink Pink Pink Black Black Black Red Red Red Red Red Red Pink Pink Pink Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nPink Pink Pink Black Black Black Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow 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 Red Red Red Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Red Red Red Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Red Red Red Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Red Red Red Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Red Red Red Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black 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\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Red Red Red Brown Brown Brown Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Brown Brown Brown Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Brown Brown Brown Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Red Red Red Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Purple Purple Purple Black Black Black Red Red Red Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Purple Purple Purple Black Black Black Red Red Red Black Black Black Black Black Black Brown Brown Brown\nPurple Purple Purple Black Black Black Black Black Black Purple Purple Purple Red Red Red Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Purple Purple Purple Red Red Red Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Purple Purple Purple Red Red Red Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Red Red Red\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Red Red Red\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Red Red Red\n\nOutput:\nBlack Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Blue Blue Blue\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Green Green Green\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Green Green Green\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\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\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\nBlack Black Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\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\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\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Pink Orange Orange Orange\nPink Gray Green Gray Purple\nOrange Purple Green Orange Gray\nPurple Brown Brown Brown Pink\nYellow Pink Orange Orange Blue\n\nOutput:\nBlue Green Orange Orange Orange\nGreen Gray Pink Gray Purple\nOrange Purple Pink Orange Gray\nPurple Red Red Red Green\nBlue Green Orange Orange Yellow\n\n\nExample 2\nInput:\nBlue Gray Purple Purple Blue\nYellow Blue Blue Brown Orange\nOrange Pink Brown Brown Pink\nPink Green Orange Gray Brown\nGreen Red Red Brown Purple\n\nOutput:\nYellow Gray Purple Purple Yellow\nBlue Yellow Yellow Red Orange\nOrange Green Red Red Green\nGreen Pink Orange Gray Red\nPink Brown Brown Red Purple\n\n\nExample 3\nInput:\nYellow Orange Pink Green Green\nBrown Blue Gray Orange Brown\nGray Green Orange Yellow Blue\nOrange Red Pink Purple Blue\nGreen Yellow Purple Blue Purple\n\nOutput:\nBlue Orange Green Pink Pink\nRed Yellow Gray Orange Red\nGray Pink Orange Blue Yellow\nOrange Brown Green Purple Yellow\nPink Blue Purple Yellow Purple\n\n\nHere is the input grid for the test example:\nInput:\nGreen Blue Pink Pink Blue\nGray Brown Gray Pink Yellow\nPink Gray Pink Orange Brown\nGray Brown Gray Brown Purple\nGray Pink Pink Brown 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 Yellow Green Green Yellow\nGray Red Gray Green Blue\nGreen Gray Green Orange Red\nGray Red Gray Red Purple\nGray Green Green Red Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow 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 Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black\nBlack Black Black Black Pink Pink 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\n\n\nExample 3\nInput:\nBlack Black Orange Orange Black Black Black Black\nBlack Black Orange Orange 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:\nOrange 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 Black Black Black Black\nOrange 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 Black Black Black Black\nOrange 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 Black Black Black Black\nOrange 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 Black Black Black Black\nOrange 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 Black Black Black Black\nOrange 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 Black Black Black Black\nOrange 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 Black Black Black Black\nOrange 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 Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Gray Gray Black\nBlack Black Black Gray Gray 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```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Purple Black Purple Black Purple\nBlack Black Black Black Black Purple Purple Black Purple Black\nBlack Black Black Black Black Black Black Black Black Purple\n\nOutput:\nBlack Black Black Purple Purple Purple Purple Black Black Black\nPurple Black Purple Black Purple Purple Black Purple Black Purple\nBlack Purple Black Purple Purple Purple Purple Black Purple Black\nPurple Black Black Black Black Black Black Black Black Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Orange Orange Orange\nBlack Black Black Black Orange Orange Black Orange\nBlack Black Black Black Orange Orange Black Orange\nBlack Black Black Black Orange Black Black Orange\nBlack Black Black Black Black Black Orange Black\n\nOutput:\nOrange Orange Orange Black Black Orange Orange Orange\nOrange Black Orange Orange Orange Orange Black Orange\nOrange Black Orange Orange Orange Orange Black Orange\nOrange Black Black Orange Orange Black Black Orange\nBlack Orange Black Black Black Black Orange Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Gray Black Black\nBlack Black Black Black Black Gray Black Black\nBlack Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Gray Black Black Gray Black Black\nBlack Black Gray Black Black Gray Black Black\nBlack Black Black Gray Gray Black Black Black\nBlack Black Gray Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Pink Pink Black\nBlack Black Black Pink Black Black\nBlack Black Black Black Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Pink Pink Pink Black\nBlack Black Pink Pink Black Black\nPink Pink Black Black Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Yellow\nBlack Black Yellow Black Yellow Black Black Yellow Black Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\nYellow Black Black Black Black Yellow Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Gray Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Gray\nBlack Black Blue Black Blue Black Black Blue Black Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlue Black Black Black Black Blue Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Yellow Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Green 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 Gray\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Black Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Yellow Black Black Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Yellow Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Black Black Pink Black Black Black Black Black\nBlack Black Pink Black Black Black Black Pink Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Green Black Black Green Green Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Yellow\nYellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Yellow Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Red\nRed Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlue 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\nBlack Black Black Blue Black Black Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Brown Black\nPurple Purple Black Black Black Black Black Black Black Black Brown Brown\nPurple Purple Black Black Black Black Black Black Black Brown Brown Brown\nPurple Purple Purple Purple Purple Black Black Black Black Brown Black Black\nPurple Purple Black Purple Yellow Yellow Yellow Black Black Brown Black Black\nBlack Purple Black Purple Yellow Yellow Pink Pink Black Brown Black Black\nBlack Purple Black Purple Yellow Yellow Pink Pink Black Black Black Black\nBlack Black Black Purple Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Brown Black\nPurple Purple Black Black Black Black Black Black Black Black Brown Brown\nPurple Purple Black Black Black Black Black Black Black Brown Brown Brown\nPurple Purple Purple Purple Purple Black Black Black Black Brown Black Black\nPurple Purple Black Purple Yellow Yellow Yellow Black Black Brown Black Black\nBlack Purple Black Purple Yellow Yellow Green Green Black Brown Black Black\nBlack Purple Black Purple Yellow Yellow Green Green Black Black Black Black\nBlack Black Black Purple Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Blue Blue\nBlack Black Black Black Black 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 Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange 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 Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Blue Blue\nBlack Black Black Black Black 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 Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green 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 Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Pink Gray Gray Black Gray Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Orange 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\nBlack Black Black Black Black Black 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 Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Pink Gray Gray Black Gray Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Blue Blue Blue Blue Black Black Black Black Black\nBlack Orange Black Black Black Orange Blue Blue Blue Blue Blue Blue Black Black Black\nOrange Orange Black Black Black Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Black Orange Orange Black Black Black Black Gray Gray Yellow Gray Yellow Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Blue Blue Blue Blue Black Black Black Black Black\nBlack Orange Black Black Black Orange Blue Blue Blue Blue Blue Blue Black Black Black\nOrange Orange Black Black Black Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Black Orange Orange Black Black Black Black Green Green Green Green Green Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Purple Brown Pink Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Orange Pink Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Green Green 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\nPink Brown Purple Purple Brown Pink Yellow Black Black Black Black Black Black Black Black Black Black\nPink Orange Brown Brown Orange Pink Gray Black Black Black Black Black Black Black Black Black Black\nGreen Orange Orange Orange Orange Green Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Red Blue Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Red Gray Blue Pink Black Black Black Black Black Black Black Black\nBlack Black Black Purple Blue Brown Orange Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Gray Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlue Red Green Green Red Blue Yellow Black Black Black Black Black Black Black Black\nBlue Gray Red Red Gray Blue Pink Black Black Black Black Black Black Black Black\nBrown Blue Purple Purple Blue Brown Orange Black Black Black Black Black Black Black Black\nGray Brown Brown Brown Brown Gray Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Green Gray Black Black Black Black Black Black Black\nBlack Black Black Black Brown Gray Brown Black Black Black Black Black Black Black\nBlack Black Black Black Gray Pink Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Green Pink Pink Green Gray Black Black Black Black Black Black Black\nBlack Brown Gray Brown Brown Gray Brown Black Black Black Black Black Black Black\nBlack Blue Pink Gray Gray Pink Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Green Blue Purple Gray Black Black Black Black Black\nBlack Black Black Black Gray Red Pink Red Purple Black Black Black Black Black\nBlack Black Black Black Pink Pink Green Pink Orange Black Black Black Black Black\nBlack Black Black Black Purple Gray Pink Green Gray Black Black Black Black Black\nBlack Black Black Black Purple Orange Gray Purple Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Blue Green Purple Purple Green Blue Purple Gray Black Black Black Black Black\nRed Pink Red Gray Gray Red Pink Red Purple Black Black Black Black Black\nPink Green Pink Pink Pink Pink Green Pink Orange Black Black Black Black Black\nGreen Pink Gray Purple Purple Gray Pink Green Gray Black Black Black Black Black\nPurple Gray Orange Purple Purple Orange Gray Purple Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow\nBlack Brown Black Black Black Black Black Black Black Yellow\nBlack Brown Brown Brown Black Yellow Black Black Black Yellow\nBlack Black Brown Black Yellow Yellow Yellow Black Black Yellow\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Green 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 Green Green Green Black\nBlue Blue Blue Blue Blue Black Green Green Green Black\nBlue Blue Blue Blue Blue Black Black Black Black Black\nBlack Orange Orange Black Black Black Pink Pink Black Black\nOrange Orange Black Black Black Black Black Pink Pink Black\nBlue Blue Black Black Black Pink Pink Pink Pink Black\nBlue Blue Blue Black Black Black Pink Pink Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Green Green Black\nGreen Green Green Green Green Black Green Green Green Black\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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Blue\nBlack Orange Orange Black Black Yellow Yellow Black Black Blue\nBlack Orange Black Black Yellow Yellow Yellow Yellow Yellow Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Red Black Red Blue Blue Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green 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 Gray Gray Gray\nGray Gray Black Black Black Black Black Black Gray Black\nBlack Gray Gray Black Black Black Black Gray Gray Gray\nBlack Black Gray Gray Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown\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 Green Green Green\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Green Yellow Blue Green Blue Blue Green Blue\nYellow Blue Green Green Green Green Blue Green Green\nGreen Green Blue Green Green Yellow Blue Green Blue\nBlue Blue Blue Yellow Blue Blue Blue Blue Yellow\nBlue Yellow Yellow Blue Blue Blue Blue Blue Green\nGreen Green Blue Yellow Blue Blue Green Green Blue\nGreen Green Blue Green Blue Green Yellow Yellow Blue\nBlue Blue Green Blue Blue Yellow Blue Green Green\nYellow Green Yellow Green Green Blue Yellow Blue Blue\n\nOutput:\nBlue Green Yellow Blue Green Blue Blue Green Blue\nYellow Blue Green Green Green Green Blue Green Green\nGreen Green Blue Green Green Yellow Blue Green Blue\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Yellow\nBlue Yellow Yellow Blue Yellow Yellow Blue Blue Green\nGreen Green Blue Yellow Blue Blue Green Green Blue\nGreen Green Blue Green Blue Green Yellow Yellow Blue\nBlue Blue Green Blue Blue Yellow Blue Green Green\nYellow Green Yellow Green Green Blue Yellow Blue Blue\n\n\nExample 2\nInput:\nGreen Green Blue Blue Blue Green Blue Yellow\nGreen Green Green Green Yellow Blue Blue Yellow\nBlue Green Yellow Blue Green Blue Blue Green\nBlue Yellow Yellow Blue Blue Blue Yellow Green\nBlue Green Green Blue Blue Green Blue Yellow\nGreen Yellow Blue Green Blue Yellow Yellow Yellow\nBlue Green Green Green Blue Yellow Yellow Yellow\nBlue Blue Yellow Yellow Green Green Blue Blue\n\nOutput:\nGreen Green Blue Blue Blue Green Blue Yellow\nGreen Green Green Green Yellow Blue Blue Yellow\nBlue Green Yellow Blue Green Blue Blue Green\nBlue Yellow Yellow Yellow Yellow Blue Yellow Green\nBlue Green Green Yellow Yellow Green Blue Yellow\nGreen Yellow Blue Green Blue Yellow Yellow Yellow\nBlue Green Green Green Blue Yellow Yellow Yellow\nBlue Blue Yellow Yellow Green Green Blue Blue\n\n\nExample 3\nInput:\nGreen Green Green Blue Yellow Yellow Green Green Green Green\nYellow Green Green Yellow Yellow Blue Green Yellow Blue Green\nYellow Blue Green Yellow Green Blue Green Blue Blue Green\nYellow Green Green Green Blue Blue Yellow Green Green Green\nGreen Blue Blue Yellow Blue Blue Yellow Yellow Blue Yellow\nYellow Blue Green Blue Blue Blue Yellow Yellow Green Yellow\nGreen Green Yellow Green Yellow Blue Blue Blue Yellow Green\nBlue Yellow Green Green Green Blue Green Blue Blue Green\n\nOutput:\nGreen Green Green Blue Yellow Yellow Green Green Green Green\nYellow Green Green Yellow Yellow Blue Green Yellow Blue Green\nYellow Blue Green Yellow Green Blue Green Blue Blue Green\nYellow Green Green Green Yellow Yellow Yellow Green Green Green\nGreen Blue Blue Yellow Yellow Yellow Yellow Yellow Blue Yellow\nYellow Blue Green Blue Blue Blue Yellow Yellow Green Yellow\nGreen Green Yellow Green Yellow Blue Blue Blue Yellow Green\nBlue Yellow Green Green Green Blue Green Blue Blue Green\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Green Blue Yellow Green Green Blue Green Blue\nGreen Blue Green Green Green Blue Green Blue Yellow Green\nBlue Blue Green Green Green Green Green Yellow Yellow Green\nYellow Green Green Green Yellow Blue Blue Blue Green Green\nYellow Yellow Blue Green Blue Blue Green Green Blue Yellow\nYellow Yellow Green Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Green Green Blue Green Blue Green Blue\nBlue Blue Blue Yellow Yellow Blue Green Blue Blue Green\nBlue Green Green Blue Green Green Yellow Green Green Green\nBlue Blue Green Blue Blue Blue Green Green Yellow Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Green Blue Yellow Green Green Blue Green Blue\nGreen Blue Green Green Green Blue Green Blue Yellow Green\nBlue Blue Green Green Green Green Green Yellow Yellow Green\nYellow Green Green Green Yellow Blue Blue Blue Green Green\nYellow Yellow Blue Green Yellow Yellow Green Green Blue Yellow\nYellow Yellow Green Blue Yellow Yellow Blue Blue Blue Blue\nBlue Blue Blue Green Green Blue Green Blue Green Blue\nBlue Blue Blue Yellow Yellow Blue Green Blue Blue Green\nBlue Green Green Blue Green Green Yellow Green Green Green\nBlue Blue Green Blue Blue Blue Green Green Yellow 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 Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBrown Black Black Black Brown Brown Brown Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Green Black 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\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Purple Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Purple Purple Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Orange Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Purple Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Purple Purple Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Brown Black Black Black Black\nBlack Black Brown Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Black Orange\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Pink 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 Orange Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Gray\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Gray Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Blue Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack 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\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Blue Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown 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 Green Black Black Black Black Black Purple\nBlack 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Brown\nBlack 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray 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 Orange Brown Black Black Black Gray Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Pink Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Pink Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Brown 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 Gray Brown Black Black Black Yellow Black\nBlack Black Black Black Black Black Brown Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Blue Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Blue Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Blue Blue Black Red Red\nBlack Black Black Blue Blue Black Red Red\nBlack Black Black Blue Blue Black 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\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 Blue Blue Red Red\nBlack Black Black Black Blue Blue Red Red\nBlack Black Black Black Blue Blue 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\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\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 Red Red Black Blue Blue Black\nBlack Red Red Black Blue Blue Black\nBlack Red Red Black Blue Blue 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 Red Red Blue Blue Black Black\nBlack Red Red Blue Blue Black Black\nBlack Red Red Blue Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack 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\nBlue Blue Red Red Black Black Black\nBlue Blue Red Red Black Black Black\nBlue Blue Red Red Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black\nBlue Blue Red Red Black Black Black\nBlue Blue Red Red Black Black Black\nBlack Black Red Red Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Blue Blue Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Black Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black\n\nOutput:\nBlue Green Blue Green Blue Green Blue Green\nGray Brown Gray Brown Gray Brown Gray Brown\nBrown Gray Brown Gray Brown Gray Brown Gray\nGreen Blue Green Blue Green Blue Green Blue\n\n\nExample 2\nInput:\nOrange Black Black Black Black Black Black\nPurple Black Black Black Black Black Black\nGray Black Black Black Black Black Black\nPink Black Black Black Black Black Black\nRed Black Black Black Black Black Black\n\nOutput:\nOrange Red Orange Red Orange Red Orange\nPurple Pink Purple Pink Purple Pink Purple\nGray Gray Gray Gray Gray Gray Gray\nPink Purple Pink Purple Pink Purple Pink\nRed Orange Red Orange Red Orange Red\n\n\nExample 3\nInput:\nPink Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black\n\nOutput:\nPink Red Pink Red Pink Red Pink Red Pink\nBlue Gray Blue Gray Blue Gray Blue Gray Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Blue Gray Blue Gray Blue Gray Blue Gray\nRed Pink Red Pink Red Pink Red Pink Red\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black\nBlue 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 Blue Yellow Blue Yellow Blue Yellow Blue Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black 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 Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow 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 Yellow Yellow Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow 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 Yellow Yellow Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Orange Black Black Black\nBlack Black Orange Red Red Orange Orange Black Black Black\nBlack Black Red Red Orange Orange Orange Black Black Black\nBlack Black Red Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Orange Black Black Black Black Black\nBlack Black Black Black Red Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Orange Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Orange Black Black Black Black Black Black Black\nBlack Black Black Red Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Orange Black Black Black Black Black Black\nBlack Red Red Orange Orange Black Black Black Black Black Black\nBlack Red Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Blue Blue Blue Orange Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Blue Blue Blue Green Blue Blue Blue Black Red\nBlack Black Black Black Black Black Red Black Gray Red\nGreen Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Gray Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Black Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue\nBlack Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Red Black Yellow\nBlack Black Blue Blue Blue Blue Black Black Purple Black\nPurple Red Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Blue Blue Blue\nYellow Black Blue Blue Blue Blue Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Blue Blue Black Black Black\nBlack Blue Blue Blue Black Blue Blue Black Black Brown\n\nOutput:\nBlack Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Black Blue Blue Blue\nBlack Blue Blue Blue Blue Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Blue Blue Black Black Black\nBlue Blue Blue Black Blue Blue Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black\nPurple Blue Blue Black Black Yellow Pink Blue Blue Black\nBlack Blue Blue Yellow Black Gray Black Blue Blue Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlue Blue Blue Blue Black Blue Blue Blue Blue Black\nBlue Blue Blue Blue Black Blue Blue Blue Blue Black\nBlue Blue Blue Blue Black Blue Blue Blue Blue Black\nBlue Blue Blue Blue Black Black Black Black Black Black\n\nOutput:\nBlack Blue Blue Black Black Black Black Blue Blue\nBlack Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Black Black Black Black Blue Blue Black\nBlue Blue Blue Black Black Gray Black Blue Blue Black\nBlue Blue Blue Black Black Purple Black Black Black Black\nRed Black Black Black Black Blue Blue Blue Brown Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Blue Blue Black Black Black Black Black Orange Black\nBlack Blue Blue Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Black Black Black Black Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue\nBlue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Black Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Black Blue Blue\nBlack Black Black Black Black Black Black Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Brown Black\nBlack Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black 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 Purple Orange Black\nBlack Black Black Black Black Pink Purple Black\nBlack Black Orange 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 Gray Black Pink Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Orange Black\nBlack Black Black Black Black Gray Brown Black\nBlack Black Orange 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 Blue Black\nPurple Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black\nOrange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Yellow Blue Black Black Black Black\nBlack Black Black Black Black Green Black\nBlack Black Black Green Black Black Black\nBlack Black Black Black Black Gray Black\n\nOutput:\nBlack Black Black Black Black Yellow Black\nBrown Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black\nPink Pink Black Black Black Black Black\nOrange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Yellow Black Black Black Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Blue Black Black Black\nBlack Black Black Black Black Purple Black\n\n\nExample 3\nInput:\nBlack Black Black Black Purple Black Green\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black\nPurple Black Black Black Black Gray Black\nBlack Black Black 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 Green Black Black Black Black\nBrown Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Brown Black Blue\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Red Black\nBrown Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nRed Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black\nPink 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 Yellow Orange\nBlack Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\nGray Brown Black Black Black Pink Black Black Black\nBlack Black Black Black Black Blue Black Black Brown\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Red Orange\nBlack Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\nPurple Pink Black Black Black Gray Black Black Black\nBlack Black Black Black Black Yellow Black Black Pink\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue 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 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 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 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 Pink Pink Pink Pink 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 Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue 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 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow 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 Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Red Red Yellow Yellow Pink Pink Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Red Red Yellow Yellow Pink Pink Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nPink Pink Black Black Pink Pink Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Orange Orange Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Red Red Yellow Yellow Pink Pink Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Red Red Yellow Yellow Pink Pink Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nPink Pink Black Black Pink Pink Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Brown Brown Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Yellow Green Green Black Black Pink Pink Black Black Black Black Black Black\nYellow Yellow Green Green Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nRed Red Black Black Black Black Black Black Pink Pink Yellow Yellow Black Black\nRed Red Black Black Black Black Black Black Pink Pink Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black\nBlack Black Red Red Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Red Red Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Red Red Black Black Black Black Blue Blue\nPink Pink Black Black Green Green Black Black Black Black Black Black Orange Orange\nPink Pink Black Black Green Green Black Black Black Black Black Black Orange Orange\nGreen Green Black Black Black Black Black Black Black Black Black Black Red Red\nGreen Green Black Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nYellow Yellow Brown Brown Black Black Pink Pink Black Black Black Black Black Black\nYellow Yellow Brown Brown Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nRed Red Black Black Black Black Black Black Pink Pink Yellow Yellow Black Black\nRed Red Black Black Black Black Black Black Pink Pink Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black\nBlack Black Red Red Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Red Red Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Red Red Black Black Black Black Blue Blue\nPink Pink Black Black Brown Brown Black Black Black Black Black Black Brown Brown\nPink Pink Black Black Brown Brown Black Black Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Black Black Black Black Black Black Red Red\nBrown Brown Black Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Green Green Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Green Green Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Red Red Black Black\nBlack Black Green Green Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Pink Pink Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Yellow Yellow Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Red Red Black Black Black Black\nPink Pink Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Green Green Yellow Yellow\nBlack Black Black Black Black Black Pink Pink Black Black Green Green Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Brown Brown Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Red Red Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Brown Brown\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Yellow Yellow Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Red Red Black Black Black Black\nPink Pink Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Brown Brown Yellow Yellow\nBlack Black Black Black Black Black Pink Pink Black Black Brown Brown Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Black Black Black Black Green Green Blue Blue Pink Pink Black Black Black Black Black Black\nPink Pink Black Black Black Black Green Green Blue Blue Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Red Red Black Black Green Green Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Red Red Black Black Green Green Black Black Black Black Yellow Yellow Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Black Black Black Black Brown Brown Blue Blue Pink Pink Black Black Black Black Black Black\nPink Pink Black Black Black Black Brown Brown Blue Blue Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Brown Brown Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Red Red Black Black Brown Brown Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Red Red Black Black Brown Brown Black Black Black Black Yellow Yellow Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Red 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:\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\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 Yellow Yellow Black\nBlack Black Black Black Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black 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\nGray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Gray Gray Gray\nPurple Purple Gray Gray Gray\nPurple Purple Gray Gray Gray\nGray Gray Purple Purple Purple\nGray Gray Purple Purple Purple\nGray Gray Purple Purple Purple\n\nOutput:\nGray Gray Purple Purple Purple\nGray Gray Purple Purple Purple\nGray Gray Purple Purple Purple\nPurple Purple Gray Gray Gray\nPurple Purple Gray Gray Gray\nPurple Purple Gray Gray Gray\n\n\nExample 2\nInput:\nGray Gray Gray Pink Pink Pink\nGray Gray Gray Pink Pink Pink\nPink Pink Pink Gray Gray Gray\nPink Pink Pink Gray Gray Gray\nPink Pink Pink Gray Gray Gray\n\nOutput:\nPink Pink Pink Gray Gray Gray\nPink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink\nGray Gray Gray Pink Pink Pink\nGray Gray Gray Pink Pink Pink\n\n\nExample 3\nInput:\nPurple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown\nBrown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple\n\nOutput:\nBrown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple\nPurple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Brown Brown\nYellow Yellow Brown Brown\nBrown Brown Yellow Yellow\nBrown Brown Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Yellow Yellow\nBrown Brown Yellow Yellow\nYellow Yellow Brown Brown\nYellow Yellow 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:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nPurple 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\nPurple 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\nRed 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed 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\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBrown 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed 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\nBrown 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown 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\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nRed 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed 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\nRed 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Pink Black Black Black Black Black Black\nBlack Brown Black Black Pink Pink Pink Black Black Purple Purple Black\nOrange Black Black Black Black Pink Black Black Black Purple Purple 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 Orange Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Orange Black Black Black Black Black Black\nBlack Orange Black Black Orange Orange Orange Black Black Orange Orange Black\nOrange Black Black Black Black Orange Black Black Black Orange Orange Black\n\n\nExample 2\nInput:\nBlack Black Yellow Yellow Yellow Black Black Black Orange Black\nBlack Black Yellow Yellow Yellow Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Red Red Black Black Blue Blue Black\nGray Black Black Black Red Red Black Black Black Black\n\nOutput:\nBlack Black Gray Gray Gray Black Black Black Gray Black\nBlack Black Gray Gray Gray Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Gray Gray Black Black Gray Gray Black\nGray Black Black Black Gray Gray Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Black\nPink Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Black\nPink 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 Brown Black\nBlack Black Black Black Black Brown Brown Brown Black\nPink Pink Pink Black Black Black Black Black Black\nPink 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen 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 Green Black\nBlack Black Black Black Black Green Green Green Black\nGreen Green Green Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Black Green 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 Black Black Black Black Black Black\nGreen 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 Blue Black Black Black Black Black Black Black Black\nBlack Red Black Blue Black Black Black Black Black Blue\nBlack Black Red Black Black Black Black Blue Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Blue Gray Black Black Blue Black\nBlue Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Blue Black Blue Black Gray Black\nBlack Black Black Blue Black Black Black Black Blue Gray\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Blue\nBlack Black Red Black Black Black Black Red Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Blue Black\nBlue Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Gray Black Gray Black Gray Black\nBlack Black Black Gray Black Black Black Black Gray Gray\n\n\nExample 2\nInput:\nGray Black Black Black Black Black Black Black Black Black\nBlue Gray Black Black Black Black Black Blue Blue Black\nBlack Black Gray Black Black Black Black Black Blue Black\nBlack Black Black Gray Black Blue Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Blue\nBlack Black Black Black Black Yellow Black Black Black Blue\nBlack Black Black Black Black Black Yellow Blue Black Black\nBlack Blue Black Black Blue Black Black Yellow Black Black\nBlack Black Blue Black Black Blue Blue Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow\n\nOutput:\nGray Black Black Black Black Black Black Black Black Black\nBlue Gray Black Black Black Black Black Gray Gray Black\nBlack Black Gray Black Black Black Black Black Blue Black\nBlack Black Black Gray Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Blue\nBlack Black Black Black Black Yellow Black Black Black Blue\nBlack Black Black Black Black Black Yellow Blue Black Black\nBlack Blue Black Black Yellow Black Black Yellow Black Black\nBlack Black Yellow Black Black Yellow Yellow Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow\n\n\nExample 3\nInput:\nYellow Black Black Black Black Black Black Black Blue Black\nBlack Yellow Black Black Black Blue Black Blue Blue Black\nBlack Black Yellow Black Black Blue Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlue Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Blue Black Black Black Black Black Black Pink Black\nBlack Black Blue Blue Black Black Black Black Black Pink\n\nOutput:\nYellow Black Black Black Black Black Black Black Yellow Black\nBlack Yellow Black Black Black Yellow Black Yellow Yellow Black\nBlack Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlue Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Pink Black Black Black Black Black Black Pink Black\nBlack Black Pink Pink Black Black Black Black Black Pink\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Blue Black Black Black Blue Black Black\nBlack Red Black Blue Black Black Black Black Blue Black\nBlack Blue Red Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Green Blue Black Black Black\nBlack Black Black Black Black Black Green Blue Black Black\nBlack Black Black Blue Black Black Black Green Black Black\nBlack Black Blue Black Blue Black Black Black Green Black\nBlack Black Blue Black Black Black Black Black Black Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Black Red Black Black Black Red Black Black\nBlack Red Black Red Black Black Black Black Red Black\nBlack Blue Red Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Green Blue Black Black Black\nBlack Black Black Black Black Black Green Blue Black Black\nBlack Black Black Green Black Black Black Green Black Black\nBlack Black Green Black Green Black Black Black Green Black\nBlack Black Green Black Black Black Black Black Black Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Orange Gray Gray Black Black Black Black Black Black\nPink Green Yellow Gray Black Black Black Black Black Black\nPink Green Gray Gray Black Black Black Black Black Black\nPink Black Black Red Black Black Black Black Black Black\nBrown Brown Black Blue Black Black Black Black Black Green\nBlack Black Black Blue Blue Blue Blue Blue Pink Pink\nBlack Black Black Black Black Black Blue Blue Pink Pink\nBlack Black Black Black Black Black Black Gray Orange Orange\n\nOutput:\nRed Pink Pink Pink Brown Black Black Black\nOrange Green Green Black Brown Black Black Black\nGray Yellow Gray Black Black Black Black Black\nGray Gray Gray Red Blue Blue Black Black\nBlack Black Black Black Black Blue Black Black\nBlack Black Black Black Black Blue Black Black\nBlack Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Blue Blue Gray\nBlack Black Black Black Black Pink Pink Orange\nBlack Black Black Black Green Pink Pink Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Green Green\nBlack Black Black Black Black Red Green\nBlack Black Black Black Black Black Brown\nBlack Black Black Black Gray Black Brown\nBlack Black Black Gray Gray Black Yellow\nBlack Black Black Gray Purple Purple Purple\nPurple Purple Purple Yellow Orange Red Black\nBrown Blue Green Green Red Brown Brown\nPink Pink Pink Green Green Gray Gray\nPurple Pink Yellow Green Green Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Purple Brown Pink Purple\nBlack Black Black Black Black Black Purple Blue Pink Pink\nBlack Black Black Black Black Black Purple Green Pink Yellow\nBlack Black Black Black Gray Gray Yellow Green Green Green\nBlack Black Black Gray Gray Purple Orange Red Green Green\nGreen Red Black Black Black Purple Red Brown Gray Yellow\nGreen Green Brown Brown Yellow Purple Black Brown Gray Yellow\n\n\nExample 3\nInput:\nYellow Green Brown Brown Purple Black Black\nYellow Green Black Black Red Black Black\nYellow Green Black Black Red Black Black\nGreen Purple Blue Blue Yellow Orange Orange\nBlack Red Blue Red Black Black Yellow\nGray Orange Blue Black Black Yellow Yellow\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Blue Blue Black\nBlack Black Black Black Blue Black Black\n\nOutput:\nYellow Yellow Yellow Green Black Gray Black Black Black\nGreen Green Green Purple Red Orange Black Black Black\nBrown Black Black Blue Blue Blue Black Black Black\nBrown Black Black Blue Red Black Black Black Black\nPurple Red Red Yellow Black Black Black Blue Blue\nBlack Black Black Orange Black Yellow Yellow Blue Black\nBlack Black Black Orange Yellow Yellow Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Green Black Black Black\nPink Brown Green Green Brown Red Black Black Black\nPink Brown Orange Brown Brown Red Black Black Black\nGreen Green Gray Brown Brown Brown Purple Purple Black\nRed Pink Pink Brown Purple Purple Purple Purple Purple\nRed Red Pink Pink Yellow Brown Black Red Red\nBlack Pink Pink Yellow Yellow Black Black Red Red\nBlack Black Purple Green Black Black Black Red Red\nBlack Black Black Purple 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 Pink Pink Green Red Red Black Black Black\nYellow Brown Brown Green Pink Red Pink Black Black\nYellow Green Orange Gray Pink Pink Pink Purple Black\nYellow Green Brown Brown Brown Pink Yellow Green Purple\nYellow Brown Brown Brown Purple Yellow Yellow Black Black\nGreen Red Red Brown Purple Brown Black Black Black\nBlack Black Black Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Red Red Red Black\nBlack Black Black Black Purple Red Red Red Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\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 Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray 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 Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray 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 Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nRed Black Black Black Black Black Black Black Red Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nRed Black Black Black Black Black Black Black Red Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nRed Black Black Black Black Black Black Black Red Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack 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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green\n\n\nExample 3\nInput:\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue 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 Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Pink Pink Pink Green Green Green Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Pink Pink Pink Green Green Green Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Pink Pink Pink Green Green Green Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Blue Blue Blue Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Blue Blue Blue Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Blue Blue Blue Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Green Green Green Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Green Green Green Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nGray Gray Gray Green Green Green Gray Gray Gray Black Black Black\nGray Gray Gray Green Green Green Gray Gray Gray Black Black Black\nGray Gray Gray Green Green Green Gray Gray Gray Black Black Black\nGray Gray Gray Pink Pink Pink Blue Blue Blue Gray Gray Gray\nGray Gray Gray Pink Pink Pink Blue Blue Blue Gray Gray Gray\nGray Gray Gray Pink Pink Pink Blue Blue Blue Gray Gray Gray\nBlack Black Black Gray Gray Gray Pink Pink Pink Green Green Green\nBlack Black Black Gray Gray Gray Pink Pink Pink Green Green Green\nBlack Black Black Gray Gray Gray Pink Pink Pink Green Green Green\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Gray Gray Gray Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Gray Gray Gray Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Gray Gray Gray Red Red Red Black Black Black\nBlack Black Black Brown Brown Brown Gray Gray Gray Gray Gray Gray Red Red Red Black Black Black\nBlack Black Black Brown Brown Brown Gray Gray Gray Gray Gray Gray Red Red Red Black Black Black\nBlack Black Black Brown Brown Brown Gray Gray Gray Gray Gray Gray Red Red Red Black Black Black\nBlack Black Black Brown Brown Brown Gray Gray Gray Gray Gray Gray Red Red Red Black Black Black\nBlack Black Black Brown Brown Brown Gray Gray Gray Gray Gray Gray Red Red Red Black Black Black\nBlack Black Black Brown Brown Brown Gray Gray Gray Gray Gray Gray Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Gray Gray Gray Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Gray Gray Gray Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Gray Gray Gray Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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```\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nRed Red Red Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Brown Brown Brown Brown Brown Brown Red Red Red\nRed Red Red Brown Brown Brown Brown Brown Brown Red Red Red\nRed Red Red Brown Brown Brown Brown Brown Brown 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
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"content": "The output grid for the test input grid is:\n\n```\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\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\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\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\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\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```",
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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 Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown\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 Red Red Red Black Black Black\nBlack 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 Red Red Red Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown 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 Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack 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 Gray Gray Gray Gray Gray Gray\nBlack 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow 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 Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Green Green Green Yellow Yellow Yellow 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.",
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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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Black Black Black Black Black Black\n```",
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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 Black Black Gray Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Gray Black Black Black Black\nYellow Gray Black Black Black Black Black Red Red Red\nBlack Black Black Yellow Black Black Black Red Brown Red\nBlack Yellow Black Black Black Blue Black Red Red Red\nBlack Black Yellow Black Black Black Black Blue Black Black\nBlack Black Blue Gray Black Black Black Black Black Black\nBlack Black Gray Green Black Black Black Black Black Black\nBlack Purple Black Black Black Purple Black Black Black Blue\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nGray Black Black Black Black Black Black Black Black Black\nBlue Black Gray Black Black Gray Black Black Orange Black\nBlue Black Black Red Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Gray Black\nBlack Brown Black Black Purple Black Black Black Black Black\nOrange Gray Yellow Yellow Yellow Black Black Red Orange Black\nPurple Black Yellow Green Yellow Black Gray Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Red Orange Purple\nBlack Black Black Black Black Black Brown Orange Orange Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBrown Red Black Black Black Black Black Yellow Orange Black\nBlack Red Black Black Black Yellow Black Orange Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Orange Black Brown Purple Black\nBrown Black Black Black Red Orange Black Yellow Black Black\nPink Pink Pink Brown Black Black Brown Black Black Black\nPink Gray Pink Black Black Black Black Black Purple Black\nPink Pink Pink Black Purple Black Black Black Red Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Orange Yellow Black Black Black Purple Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Gray Yellow Yellow Yellow Pink Black Black Black\nBlack Black Green Yellow Red Yellow Black Black Black Black\nPink Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Pink Black Black Black Green\nBlack Black Green Black Black Black Gray Black Black Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Green Black Black Black\nGreen Green Green Black Black Black\nGreen Green Green Black Black Black\nBrown Brown Brown Black Black Black\nBrown Brown Brown Black Black Black\nBrown Brown Brown Black Black Black\n\nOutput:\nGreen Green Green Black Black Black\nGreen Green Green Black Black Black\nOrange Orange Orange Black Black Black\nBrown Brown Brown Black Black Black\nBrown Brown Brown Black Black Black\nBrown Brown Brown Black Black Black\n\n\nExample 2\nInput:\nBlack Black Green Green Green Black\nBlack Black Green Green Green Black\nBlack Black Green Green Green Black\nBlack Black Brown Brown Brown Black\nBlack Black Brown Brown Brown Black\nBlack Black Brown Brown Brown Black\n\nOutput:\nBlack Black Green Green Green Black\nBlack Black Green Green Green Black\nBlack Black Orange Orange Orange Black\nBlack Black Brown Brown Brown Black\nBlack Black Brown Brown Brown Black\nBlack Black Brown Brown Brown Black\n\n\nExample 3\nInput:\nBlack Green Green Green Black Black\nBlack Green Green Green Black Black\nBlack Green Green Green Black Black\nBlack Black Brown Brown Brown Black\nBlack Black Brown Brown Brown Black\nBlack Black Brown Brown Brown Black\n\nOutput:\nBlack Green Green Green Black Black\nBlack Green Green Green Black Black\nBlack Green Orange Orange Black Black\nBlack Black Brown Brown Brown Black\nBlack Black Brown Brown Brown Black\nBlack Black Brown Brown Brown Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Brown Brown Brown Black\nBlack Black Brown Brown Brown Black\nBlack Black Brown Brown Brown Black\nBlack Black Green Green Green Black\nBlack Black Green Green Green Black\nBlack Black Green Green 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 Brown Brown Brown Black\nBlack Black Brown Brown Brown Black\nBlack Black Brown Brown Brown Black\nBlack Black Green Green Green Black\nBlack Black Green Green Green Black\nBlack Black Orange Orange 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:\nYellow Yellow Gray Blue Blue Brown\nBlue Blue Blue Blue Orange Red\nGray Orange Blue Blue Green Green\nOrange Orange Pink Pink Brown Brown\n\nOutput:\nYellow Yellow Gray Blue Blue Brown\nBlue Blue Blue Blue Orange Red\nGray Orange Blue Blue Green Green\nOrange Orange Pink Pink Brown Brown\nYellow Yellow Gray Blue Blue Brown\nBlue Blue Blue Blue Orange Red\nGray Orange Blue Blue Green Green\nOrange Orange Pink Pink Brown Brown\nBrown Blue Blue Gray Yellow Yellow\nRed Orange Blue Blue Blue Blue\nGreen Green Blue Blue Orange Gray\nBrown Brown Pink Pink Orange Orange\n\n\nExample 2\nInput:\nOrange Yellow Yellow Blue\nGreen Purple Pink Blue\nGreen Orange Blue Orange\nOrange Orange Orange Orange\nRed Red Orange Orange\n\nOutput:\nOrange Yellow Yellow Blue\nGreen Purple Pink Blue\nGreen Orange Blue Orange\nOrange Orange Orange Orange\nRed Red Orange Orange\nOrange Yellow Yellow Blue\nGreen Purple Pink Blue\nGreen Orange Blue Orange\nOrange Orange Orange Orange\nRed Red Orange Orange\nBlue Yellow Yellow Orange\nBlue Pink Purple Green\nOrange Blue Orange Green\nOrange Orange Orange Orange\nOrange Orange Red Red\n\n\nExample 3\nInput:\nGray Brown Yellow Gray Pink\nGray Gray Red Blue Gray\nBlue Gray Red Red Red\nBlue Orange Brown Brown Purple\nOrange Orange Purple Brown Orange\n\nOutput:\nGray Brown Yellow Gray Pink\nGray Gray Red Blue Gray\nBlue Gray Red Red Red\nBlue Orange Brown Brown Purple\nOrange Orange Purple Brown Orange\nGray Brown Yellow Gray Pink\nGray Gray Red Blue Gray\nBlue Gray Red Red Red\nBlue Orange Brown Brown Purple\nOrange Orange Purple Brown Orange\nPink Gray Yellow Brown Gray\nGray Blue Red Gray Gray\nRed Red Red Gray Blue\nPurple Brown Brown Orange Blue\nOrange Brown Purple Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlue Pink Red\nBlue Blue Yellow\nPink 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 Pink Red\nBlue Blue Yellow\nPink Blue Purple\nBlue Pink Red\nBlue Blue Yellow\nPink Blue Purple\nRed Pink Blue\nYellow Blue Blue\nPurple Blue Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black\nBlack Black Black Green Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow 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 Green Black Black Black Black Black\nBlack Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Green Black\nBlack Yellow Yellow Black Black Green 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 Green Black Black\nBlack Black Yellow Yellow Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black\nBlack Green 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 Yellow Yellow Black\nGreen 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 Yellow Black Black Black Black Black Black\nBlack Black Yellow 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 Green Green 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 Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black\nGray 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\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Brown Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Brown Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nOrange Brown Black Pink\nBlack Black Purple Black\nBlack Green Black Black\n\nOutput:\nBlack Green Black Black\nBlack Black Purple Black\nOrange Brown Black Pink\nOrange Brown Black Pink\nBlack Black Purple Black\nBlack Green Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nOrange Purple Blue Black Orange\nGray Red Black Blue Brown\n\nOutput:\nGray Red Black Blue Brown\nOrange Purple Blue Black Orange\nOrange Purple Blue Black Orange\nGray Red Black Blue Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nPurple Green Gray Black Purple\nBrown Orange Black Purple Black\nBlack Black Black Green Brown\n\nOutput:\nBlack Black Black Green Brown\nBrown Orange Black Purple Black\nPurple Green Gray Black Purple\nPurple Green Gray Black Purple\nBrown Orange Black Purple Black\nBlack Black Black Green Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black\nBlack Black Black\nBrown Black Brown\nBlack Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black\nBrown Black Brown\nBrown Black Brown\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:\nBlue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nBlue Blue Blue Blue Orange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown\nBlue Blue Blue Blue Orange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown\nBlue Blue Blue Blue Orange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown\nBlue Blue Blue Blue Orange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown\nBrown Brown Brown Brown Red Red Red Red Green Green Green Green Brown Brown Brown Brown\nBrown Brown Brown Brown Red Red Red Red Green Green Green Green Brown Brown Brown Brown\nBrown Brown Brown Brown Red Red Red Red Green Green Green Green Brown Brown Brown Brown\nBrown Brown Brown Brown Red Red Red Red Green Green Green Green Brown Brown Brown Brown\n\nOutput:\nBlue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown\nBlue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown\nBlue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown\nBlue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Red Red Red Red\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nRed Red Red Red Orange Orange Orange Orange Green Green Green Green Orange Orange Orange Orange Black Black Black Black\nRed Red Red Red Orange Orange Orange Orange Green Green Green Green Orange Orange Orange Orange Black Black Black Black\nRed Red Red Red Orange Orange Orange Orange Green Green Green Green Orange Orange Orange Orange Black Black Black Black\nRed Red Red Red Orange Orange Orange Orange Green Green Green Green Orange Orange Orange Orange Black Black Black Black\nRed Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red\nRed Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red\nRed Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red\nRed Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue 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\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nBlack Black Black Black Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Green Green Green Green Orange Orange Orange Orange Blue Blue Blue Blue Orange Orange Orange Orange\nBlack Black Black Black Green Green Green Green Orange Orange Orange Orange Blue Blue Blue Blue Orange Orange Orange Orange\nBlack Black Black Black Green Green Green Green Orange Orange Orange Orange Blue Blue Blue Blue Orange Orange Orange Orange\nBlack Black Black Black Green Green Green Green Orange Orange Orange Orange Blue Blue Blue Blue Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBrown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Brown Brown Brown Brown Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Brown Brown Brown Brown Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Brown Brown Brown Brown Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Brown Brown Brown Brown Purple Purple Purple Purple\nGray Gray Gray Gray Blue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Blue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Blue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Blue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Gray Gray Gray Gray Red Red Red Red Purple Purple Purple Purple Orange Orange Orange Orange\nPink Pink Pink Pink Gray Gray Gray Gray Red Red Red Red Purple Purple Purple Purple Orange Orange Orange Orange\nPink Pink Pink Pink Gray Gray Gray Gray Red Red Red Red Purple Purple Purple Purple Orange Orange Orange Orange\nPink Pink Pink Pink Gray Gray Gray Gray Red Red Red Red Purple Purple Purple Purple Orange Orange Orange Orange\n\nOutput:\nGray Gray Gray Gray Brown Brown Brown Brown Yellow Yellow Yellow Yellow Gray Gray Gray Gray Pink Pink Pink Pink\nGray Gray Gray Gray Brown Brown Brown Brown Yellow Yellow Yellow Yellow Gray Gray Gray Gray Pink Pink Pink Pink\nGray Gray Gray Gray Brown Brown Brown Brown Yellow Yellow Yellow Yellow Gray Gray Gray Gray Pink Pink Pink Pink\nGray Gray Gray Gray Brown Brown Brown Brown Yellow Yellow Yellow Yellow Gray Gray Gray Gray Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Blue Blue Blue Blue Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Blue Blue Blue Blue Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Blue Blue Blue Blue Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Blue Blue Blue Blue Gray Gray Gray Gray\nBlue Blue Blue Blue Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple\nBlack Black Black Black Orange Orange Orange Orange Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black\nPink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black\nPink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black\nPink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple\nPink Pink Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple\nPink Pink Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple\nPink Pink Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple\nBlack Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple\nBlack Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple\nBlack Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Purple Red Red Purple Black Black\nBlack Red Red Black 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 Green Blue Black Black Black\nBlack Black Black Black Blue Purple Purple Green Black Black\nBlack Red Black Black Green Purple Purple Blue Black Black\nRed Red Red Black Black Blue Green Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Blue Gray Gray Blue Black Black\nBlack Orange Orange Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Blue Orange Orange Blue Black Black\nBlack Orange Black Black Blue Orange Orange Blue Black Black\nOrange Orange Orange Black Black Blue Blue Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Red Green Red\nRed Green Green Black Black Black Black Black Black Black\nRed Green Green Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Red Red Red\nBlack Red Red Black Black Purple Black Black Blue Black\nBlack Blue Blue Black Black Purple Black Black Green Black\nBlack Blue Blue Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlue Orange Orange Black Black Black Black Black Black Black\nBlue Orange Orange Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Blue Blue Black Black Blue Black Black Blue Black\nBlack Orange Orange Black Black Blue Black Black Blue Black\nBlack Orange Orange Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Red Black Black Black Black Red Black Black\nRed Red Red Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Green Blue Blue Black Black Black Blue Black Black\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 Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black\nBlue Blue Black Black Red Red Red Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Black Black Black Black Blue Black Black\nOrange Orange Orange Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Blue Blue Blue Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nOrange Orange Black Black Orange Orange Orange Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red 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 Red Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\n\nOutput:\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black 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\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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\n\nOutput:\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink 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 Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink 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\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nOrange Black Red Orange Yellow Purple Blue Yellow Gray Black Purple Purple\nRed Pink Yellow Black Red Black Black Purple Black Black Black Red\nRed Red Green Pink Black Black Orange Black Brown Purple Orange Yellow\nPink Orange Blue Gray Blue Yellow Blue Black Black Purple Black Blue\nPink Black Black Black Black Red Black Black Red Red Red Purple\nBlack Orange Black Pink Brown Black Purple Black Black Black Black Black\nPurple Purple Orange Green Purple Green Purple Brown Brown Black Orange Yellow\nYellow Pink Brown Black Pink Brown Black Orange Black Brown Orange Blue\n\nOutput:\nPurple Purple Black Gray Yellow Blue Blue Yellow Gray Black Purple Purple\nRed Black Black Black Purple Black Black Purple Black Black Black Red\nYellow Orange Purple Brown Black Orange Orange Black Brown Purple Orange Yellow\nBlue Black Purple Black Black Blue Blue Black Black Purple Black Blue\nPurple Red Red Red Black Black Black Black Red Red Red Purple\nBlack Black Black Black Black Purple Purple Black Black Black Black Black\nYellow Orange Black Brown Brown Purple Purple Brown Brown Black Orange Yellow\nBlue Orange Brown Black Orange Black Black Orange Black Brown Orange Blue\n\n\nExample 2\nInput:\nPink Purple Gray Purple Black Black Black Purple Brown Blue\nBlack Black Green Pink Green Orange Purple Orange Green Blue\nOrange Black Brown Blue Pink Pink Black Purple Blue Black\nYellow Gray Black Black Orange Purple Black Red Gray Black\nPink Black Purple Pink Black Gray Pink Black Black Black\nPink Orange Black Green Black Black Orange Blue Purple Blue\nBlack Black Red Black Red Brown Blue Brown Brown Purple\n\nOutput:\nBlue Brown Purple Black Black Black Black Purple Brown Blue\nBlue Green Orange Purple Orange Orange Purple Orange Green Blue\nBlack Blue Purple Black Pink Pink Black Purple Blue Black\nBlack Gray Red Black Purple Purple Black Red Gray Black\nBlack Black Black Pink Gray Gray Pink Black Black Black\nBlue Purple Blue Orange Black Black Orange Blue Purple Blue\nPurple Brown Brown Blue Brown Brown Blue Brown Brown Purple\n\n\nExample 3\nInput:\nPink Black Black Black Black Black Black Red Black Yellow Black\nPurple Blue Gray Brown Yellow Gray Black Black Black Purple Blue\nGreen Green Green Purple Pink Yellow Black Brown Yellow Green Yellow\nBlack Brown Black Blue Gray Black Black Gray Brown Pink Black\nGreen Blue Purple Black Orange Brown Blue Yellow Black Black Orange\nBrown Gray Pink Orange Gray Black Purple Black Yellow Black Blue\nYellow Black Black Green Black Black Gray Blue Yellow Green Purple\n\nOutput:\nBlack Yellow Black Red Black Black Black Red Black Yellow Black\nBlue Purple Black Black Black Gray Black Black Black Purple Blue\nYellow Green Yellow Brown Black Yellow Black Brown Yellow Green Yellow\nBlack Pink Brown Gray Black Black Black Gray Brown Pink Black\nOrange Black Black Yellow Blue Brown Blue Yellow Black Black Orange\nBlue Black Yellow Black Purple Black Purple Black Yellow Black Blue\nPurple Green Yellow Blue Gray Black Gray Blue Yellow Green Purple\n\n\nHere is the input grid for the test example:\nInput:\nPurple Gray Green Black Black Brown Brown Blue Blue\nPurple Brown Gray Pink Green Red Gray Black Pink\nBlack Orange Pink Black Orange Pink Purple Blue Gray\nBlack Yellow Gray Gray Black Black Brown Black Pink\nBlack Purple Pink Gray Orange Black Brown Yellow Orange\nBlack Blue Black Yellow Black Purple Yellow Blue Orange\nRed Green Black Black Purple Blue Red Brown Black\nPurple Yellow Orange Gray Pink Brown Purple Orange Green\nGray Brown Black Blue Pink Brown Black Orange Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Brown Brown Black Brown Brown Blue Blue\nPink Black Gray Red Green Red Gray Black Pink\nGray Blue Purple Pink Orange Pink Purple Blue Gray\nPink Black Brown Black Black Black Brown Black Pink\nOrange Yellow Brown Black Orange Black Brown Yellow Orange\nOrange Blue Yellow Purple Black Purple Yellow Blue Orange\nBlack Brown Red Blue Purple Blue Red Brown Black\nGreen Orange Purple Brown Pink Brown Purple Orange Green\nBlack Orange Black Brown Pink Brown 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:\nRed Red Red Red Red Red Red Red Red Red Red 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 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 Red Red Red Red Red Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Red Red 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 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 Red Red Red Red Red Red 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green 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\n\nExample 3\nInput:\nRed Red Red Red Red Red Red Red Red Red Red 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 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 Red Red Red Red Red Red Red Red Red Red\nOrange Orange Orange Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Orange Orange Orange\nOrange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Orange Orange Orange\nOrange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Orange Orange Orange\nOrange Orange Orange Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange\nRed Red Red Red Red Red Red Red Red Red Red 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 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 Red Red Red Red Red Red 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green 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\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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\nPurple\nPurple\nPurple\nPurple\nPurple\n\nOutput:\nPurple Purple\nPurple Purple\nPurple Purple\nPurple Purple\nPurple Purple\nPurple Purple\n\n\nExample 2\nInput:\nBlack\nBlack\nPink\nPink\nPink\n\nOutput:\nPink Black\nPink Black\nPink Pink\nPink Pink\nPink Pink\n\n\nExample 3\nInput:\nOrange\nOrange\nOrange\nOrange\nOrange\n\nOutput:\nOrange Orange\nOrange Orange\nOrange Orange\nOrange Orange\nOrange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack\nGray\nGray\nGray\nGray\nGray\nGray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black\nGray Gray\nGray Gray\nGray Gray\nGray Gray\nGray Gray\nGray 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Brown 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\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\nPink Brown Purple 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\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\nGray Green Pink Brown Gray Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\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\nGray Green Pink Red Red Red 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\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nOrange Blue Red Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nOrange Blue Red Pink Red 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\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\nPurple Yellow Yellow Yellow Pink Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPurple Yellow Yellow Red Red Red 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\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\nBlack Black Blue Black Black Black\nBlack Black Blue Black Black Black\nBlack Black Blue Black Black Black\nBlack Black Green Green Green Black\nBlack Brown Pink Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black\nBlack Pink Green Blue Blue Blue Black\nBlack Black Green Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Purple Yellow Red Yellow Purple Black\nBlack Blue Gray Gray Gray Blue Black\nBlack Black Brown Gray Brown Black Black\nBlack Black Brown Black Brown Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Blue Purple Black\nBlack Brown Brown Gray Yellow Black\nBlack Black Gray Gray Red Black\nBlack Brown Brown Gray Yellow Black\nBlack Black Black Blue Purple Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black\nBlack Black Black Yellow Orange Orange Black\nBlack Black Green Black Black Pink Black\nBlack Red Red Red Brown Pink Black\nBlack Black Red Red Pink Pink Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Red Red Green Black Black Black\nBlack Red Red Black Yellow Black Black\nBlack Pink Brown Black Orange Blue Black\nBlack Pink Pink Pink Orange Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Green Black Green Black\nBlack Orange Green Orange Black\nBlack Brown Green Brown Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Brown Orange Green Black\nBlack Green Green Black Black\nBlack Brown Orange Green Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Pink Pink Black Black Brown Brown Brown Blue\nBlack Pink Pink Black Black Brown Brown Brown Brown\nBlack Blue Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Blue Red Blue Black\nBlack Black Black Black Gray Gray Black Black Black\nBlack Black Pink Black Gray Gray Black Black Black\nPurple Blue Purple Black Yellow Red Red Black Black\n\nOutput:\nBrown Brown Brown Purple Black Brown Brown Brown Blue\nBrown Brown Brown Brown Black Brown Brown Brown Brown\nGray Gray Pink Black Black Black Black Black Black\nYellow Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Blue Red Blue Black\nBlack Black Black Black Gray Gray Black Black Black\nBlack Black Pink Black Gray Gray Black Black Black\nPurple Blue Purple Black Yellow Red Red Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black\nRed Purple Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Blue Black Black\nBlack Black Blue Blue Black Black Black Black Black\n\nOutput:\nPink Pink Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Blue Black Black\nBlack Black Blue Blue Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Orange Purple Yellow Black Black Blue\nBlack Black Black Purple Blue Black Black Black Blue\nBlack Black Black Yellow Black Black Red Black Blue\nBlack Black Black Black Black Black Black Orange Blue\n\nOutput:\nRed Orange Yellow Black Black Black Black Black Black\nPurple Orange Black Black Black Black Black Black Black\nYellow Orange Black Black Black Black Black Black Black\nOrange Orange Black Orange Purple Yellow Black Black Blue\nBlack Black Black Purple Blue Black Black Black Blue\nBlack Black Black Yellow Black Black Red Black Blue\nBlack Black Black Black Black Black Black Orange Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Brown\nBlack Black Black Black Yellow Blue Pink Brown\nBlack Black Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Gray Black Black Black Black Black Black\nBlack Orange Purple Black Black Black Black Black\nBlack Blue 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```\nPurple Black Black Brown Black Black Black Brown\nYellow Gray Pink Brown Yellow Blue Pink Brown\nGray Gray Black Black Blue Blue Black Black\nGray Gray Black Black Blue Blue Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Gray Black Black Black Black Black Black\nBlack Orange Purple Black Black Black Black Black\nBlack Blue 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:\nPurple Pink Brown\nPurple Yellow Purple\nPink Pink Gray\n\nOutput:\nOrange Orange Brown\nBlack Blue Black\nBlack Orange Gray\n\n\nExample 2\nInput:\nPink Red Green\nPink Green Pink\nYellow Red Blue\n\nOutput:\nBlue Green Yellow\nOrange Red Orange\nOrange Green Red\n\n\nExample 3\nInput:\nOrange Yellow Red\nGreen Green Green\nBrown Yellow Blue\n\nOutput:\nGray Blue Yellow\nRed Red Red\nPink Blue Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Pink Brown\nGray Gray Gray\nGray 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```\nBrown Orange Gray\nBrown Brown Brown\nBrown Orange 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\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 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\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Green 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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Yellow Yellow Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Yellow Yellow Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Yellow Yellow Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black 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\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 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 Green Black Black Black Black\n\nOutput:\nYellow Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nYellow Yellow Green Green Green Green Green Green Green Yellow Green Green Green Green Green\nYellow Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nYellow Yellow Green Green Green Green Green Green Green Yellow Green Green Green Green Green\nYellow Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nYellow Yellow Green Green Green Green Green Green Green Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow 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 Yellow Black Black\nBlack 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 Yellow Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Yellow Green Green\nBlack 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 Yellow Black Black\nBlack 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 Yellow Black Black\nBlack 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 Yellow Black Black\nBlack 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 Yellow Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black\nGreen Green Green Green Green Green Green Green Yellow Green Green Yellow Green Green\nBlack Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black\nGreen Green Green Green Green Green Green Green Yellow Green Green Yellow Green Green\nBlack Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Green Black\nBlack Orange Gray Black Black Black Black Black\nBlack Black Green Black Black Black Black Orange\nBlack Black Black Gray Purple Black Black Pink\nBlue Black Pink Black Black Orange Black Orange\nBlack Black Black Black Black Purple Red Black\nPurple Black Black Black Black Black Green Gray\nYellow Black Black Gray Black Black Purple Black\nBlack Black Black Black Orange Purple Black Black\nPink Black Pink Black Black Black Black Brown\n\nOutput:\nBlack Black Black Black Black Black Green Black\nBlack Blue Gray Black Black Black Black Black\nBlack Black Green Black Black Black Black Blue\nBlack Black Black Gray Orange Black Black Pink\nPurple Black Pink Black Black Blue Black Blue\nBlack Black Black Black Black Orange Red Black\nOrange Black Black Black Black Black Green Gray\nYellow Black Black Gray Black Black Orange Black\nBlack Black Black Black Blue Orange Black Black\nPink Black Pink Black Black Black Black Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Orange Brown Black Purple Black\nBlack Black Black Yellow Black Black Brown Black Black Black\nBlack Pink Black Blue Black Black Black Black Black Black\nPurple Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nGray Black Green Black Black Black Blue Black Black Blue\nBlack Black Black Blue Black Black Black Purple Black Black\n\nOutput:\nBlack Black Black Black Black Blue Brown Black Orange Black\nBlack Black Black Yellow Black Black Brown Black Black Black\nBlack Pink Black Purple Black Black Black Black Black Black\nOrange Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nGray Black Green Black Black Black Purple Black Black Purple\nBlack Black Black Purple Black Black Black Orange Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Blue Black Black Green\nBlue Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Purple Green Black Black\nBlack Black Gray Black Black Black Black Orange Yellow\nBlack Black Blue Black Black Purple Gray Black Black\nBlack Black Black Black Red Black Black Pink Black\n\nOutput:\nBlack Black Black Black Black Purple Black Black Green\nPurple Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Orange Green Black Black\nBlack Black Gray Black Black Black Black Blue Yellow\nBlack Black Purple Black Black Orange Gray Black Black\nBlack Black Black Black Red Black Black Pink Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Gray Yellow Black Black\nBlack Black Black Black Black Brown Black Orange Black\nBlack Black Brown 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 Blue Pink Black Black Black\nBlack Pink Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Yellow\nBlack Black Black Black Brown Black Black Black Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Gray Yellow Black Black\nBlack Black Black Black Black Brown Black Blue Black\nBlack Black Brown 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 Purple Pink Black Black Black\nBlack Pink Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Yellow\nBlack Black Black Black Brown 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\nBlack Black Black Black Black\nBlack Green Green Green Black\nBlack Green Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Blue Black Black Black\nBlack Blue Blue Blue Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Green Green Black Black Black\nBlack Green Green Black Black Black\nBlack Green Green Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Blue Blue Black Black Black\nBlack Blue Blue Black Black Black\nBlack Blue Blue Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Green Green Green Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Blue Blue Blue Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Green Black Black\nBlack Green Black Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black\nBlack Blue Black Black\nBlack Blue Black Black\nBlack Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Black Green Black Black Black Black Black\nGreen Green Green Black Black Black Black Black\nGreen Green Green Black Black Green Black Black\nBlack Black Black Black Green Green Green Black\nBlack Black Black Black Black Green Black Black\nBlack Green Green Black Black Black Black Black\nBlack Green Green Green Black Black Black Green\nBlack Green Green Black Black Black Green Green\n\nOutput:\nRed Black Red Black Black Black Black Black\nRed Red Red Black Black Black Black Black\nRed Red Red Black Black Red Black Black\nBlack Black Black Black Red Red Red Black\nBlack Black Black Black Black Red Black Black\nBlack Red Red Black Black Black Black Black\nBlack Red Red Red Black Black Black Red\nBlack Red Red Black Black Black Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGreen Green Green Black Black Black Black\nGreen Green Black Black Black Green Green\nGreen Green Green Black Black Green Green\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nRed Red Red Black Black Black Black\nRed Red Black Black Black Red Red\nRed Red Red Black Black Red Red\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Green Green Black Green Green Green\nBlack Green Green Black Black Green Black\nBlack Black Black Black Black Green Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGreen Black Black Black Black Black Black\nGreen Green Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Red Red Black Red Red Red\nBlack Red Red Black Black Red Black\nBlack Black Black Black Black Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nRed Black Black Black Black Black Black\nRed Red 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 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 Green Green\nBlack Black Black Black Black Black Black Green Green\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Red Red\nBlue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Red 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Brown Black Brown Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Red 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Brown Black Brown Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Yellow 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 Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Green Black Green Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow 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 Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Gray Black Gray Black Black Black\nBlack Black Black Black Black Black Black Blue Black Blue Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black 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\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Yellow Black Yellow Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Gray Black Gray Black Black Black\nBlack Black Black Black Black Black Black Blue Black Blue Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black 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\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Pink Pink Pink 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\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black 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 Black Black Black Black Black Black Green 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 Blue Blue Blue Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Blue Black Green Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Blue Black Green Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black\nBlack Red Red 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 Red Red Black Black Black Black\nBlack Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Red Red Black Black Black Black\nBlack Red Red 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 Red Red Black Black Black\nBlack Black Red Red Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Red Red\nBlack Black Black Black Black Red Red\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 Red Red Black Black Black\nBlack Black Red Red 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 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 Black Black Black\nBlack Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black\nBlack Black Black Red Red 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 Black 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 Green Red Brown Black Black Black\nBlack Black Black Brown Green Orange Blue Black Black Black\nBlack Black Black Pink Blue Blue Blue Black Black Black\nBlack Black Black Pink Blue Blue Gray Black Black Black\nBlack Black Black Orange Gray Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Green Red Brown Black Black Black\nBlack Black Black Brown Green Orange Blue Black Black Black\nBlack Black Black Pink Blue Blue Blue Black Black Black\nOrange Pink Pink Brown Brown Blue Gray Black Black Black\nGray Blue Blue Green Green Blue Blue Black Black Black\nBlue Blue Blue Orange Red Black Black Black Black Black\nBlue Gray Blue Blue Brown 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 Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Blue Orange Orange Black Black Black\nBlack Black Red Orange Orange Orange Red Black Black Black\nBlack Black Red Orange Green Orange 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 Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Blue Orange Orange Black Black Black\nRed Red Orange Orange Orange Orange Red Black Black Black\nOrange Orange Orange Orange Green Orange Red Black Black Black\nGreen Orange Blue Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black\nRed Red Orange Orange Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Purple Red Gray Pink Black Black Black\nBlack Black Brown Brown Red Blue Gray Black Black Black\nBlack Black Purple Brown Red Red Yellow Black Black Black\nBlack Black Orange Orange Gray Gray Brown Black Black Black\nBlack Black Orange Blue Blue Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Orange Purple Red Gray Pink Black Black Black\nBlack Black Brown Brown Red Blue Gray Black Black Black\nOrange Orange Purple Brown Orange Red Yellow Black Black Black\nBlue Orange Brown Brown Purple Gray Brown Black Black Black\nBlue Gray Red Red Red Gray Gray Black Black Black\nGray Gray Red Blue Gray Black Black Black Black Black\nGray Brown Yellow Gray Pink Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Yellow Purple Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Pink Blue Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Purple Yellow Purple Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Pink Blue Pink Black Black Black Black\nPink Blue Purple Black Black Black Black Black Black Black\nBlue Blue Yellow Black Black Black Black Black Black Black\nPink Blue Purple Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Blue Blue\nBlue Green Yellow\nGreen Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Green Green Green Green Green Green\nYellow Yellow Yellow Green Green Green Green Green Green\nYellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Yellow Yellow Yellow Red Red Red\nGreen Green Green Yellow Yellow Yellow Red Red Red\nGreen Green Green Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Red Red Red Red Red Red\nYellow Yellow Yellow Red Red Red Red Red Red\nYellow Yellow Yellow Red Red Red Red Red Red\n\n\nExample 2\nInput:\nYellow Blue Green\nBlue Yellow Red\nBlue Green Blue\n\nOutput:\nRed Red Red Green Green Green Yellow Yellow Yellow\nRed Red Red Green Green Green Yellow Yellow Yellow\nRed Red Red Green Green Green Yellow Yellow Yellow\nGreen Green Green Red Red Red Blue Blue Blue\nGreen Green Green Red Red Red Blue Blue Blue\nGreen Green Green Red Red Red Blue Blue Blue\nGreen Green Green Yellow Yellow Yellow Green Green Green\nGreen Green Green Yellow Yellow Yellow Green Green Green\nGreen Green Green Yellow Yellow Yellow Green Green Green\n\n\nExample 3\nInput:\nYellow Blue Green\nRed Yellow Yellow\nBlue Blue Red\n\nOutput:\nRed Red Red Green Green Green Yellow Yellow Yellow\nRed Red Red Green Green Green Yellow Yellow Yellow\nRed Red Red Green Green Green Yellow Yellow Yellow\nBlue Blue Blue Red Red Red Red Red Red\nBlue Blue Blue Red Red Red Red Red Red\nBlue Blue Blue Red Red Red Red Red Red\nGreen Green Green Green Green Green Blue Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nRed Blue Green\nGreen Red Green\nRed Red Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Green Green Green Yellow Yellow Yellow\nBlue Blue Blue Green Green Green Yellow Yellow Yellow\nBlue Blue Blue Green Green Green Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Black Black Brown Brown Brown Brown Black Black Purple Black Black Black Black\nBlack Black Black Brown Brown Black Brown Black Black Brown Black Purple Purple Purple Black Black Black\nBlack Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Purple Black Black Black Black\nBlack Black Brown Black Black Black Brown Brown Brown Brown Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Pink Black Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Brown Black Black Brown Brown Brown Brown\nBlack Black Brown Brown Black Brown Black Black Brown\nBrown Brown Brown Black Black Brown Brown Brown Brown\nBlack Brown Black Black Black Brown Brown Brown Brown\nBlack Black Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Blue Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlue Blue Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Blue Blue Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Blue Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Orange Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Orange Orange Orange Blue Blue Blue Blue Blue Black Black Black Black Black Blue\nBlack Black Black Black Blue Black Black Blue Black Black Black Black Black Blue Blue\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Red Red Red Red Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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:\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nBlack Black Black Green Black\nBlack Green Green Green Black\nBlack Black Black Green 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 Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Brown Gray Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Gray Black Black\nBlack Black Black Black Black Black Brown Black Brown Brown Black Gray Gray Gray\nBlack Black Brown Brown Brown Brown Brown Black Brown Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Black\nBlack Black Brown Gray Black Black\nBlack Brown Brown Gray Black Black\nBrown Brown Black Gray Gray Gray\nBrown Black Black Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Pink\nBlack Pink Black Green Black Black Black\nBlack Black Black Purple Orange Green Black\nPink Black Orange Yellow Blue Black Black\nBlack Purple Yellow Green Black Orange Black\nBlack Black Black Purple Yellow Black Black\nBlack Black Orange Black Red Black Gray\n\nOutput:\nPink Pink Green Green Green Pink Pink\nPink Pink Green Orange Green Pink Pink\nPink Orange Green Orange Green Green Green\nPurple Orange Purple Yellow Green Green Green\nPurple Orange Green Blue Orange Orange Orange\nPurple Orange Green Red Orange Gray Gray\nYellow Orange Purple Red Red Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Green Black Black\nRed Brown Black Blue Black Brown Black\nBrown Black Black Purple Black Brown Red\nBlue Purple Yellow Green Orange Purple Black\nPink Red Black Black Blue Pink Red\nPink Gray Black Gray Purple Orange Brown\nBlack Black Black Pink Blue Black Black\n\nOutput:\nBrown Brown Blue Blue Brown Brown Brown\nBrown Brown Blue Blue Brown Red Red\nBrown Yellow Blue Orange Brown Red Red\nPurple Yellow Purple Green Brown Red Red\nPurple Yellow Gray Orange Purple Red Red\nRed Red Gray Blue Pink Red Red\nGray Gray Gray Purple Orange Brown Brown\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Brown\nBlack Black Black Black Orange Yellow Red\nBlack Black Orange Black Gray Green Black\nGray Black Brown Green Black Purple Blue\nBrown Brown Blue Black Black Black Pink\nBlack Black Yellow Blue Brown Brown Gray\nBlack Blue Black Black Brown Gray Black\n\nOutput:\nGray Gray Green Orange Yellow Brown Brown\nGray Orange Orange Orange Yellow Brown Brown\nGray Orange Orange Orange Yellow Red Red\nBrown Orange Orange Green Purple Blue Blue\nBrown Brown Blue Brown Purple Blue Blue\nBrown Blue Blue Brown Brown Pink Pink\nBlue Yellow Blue Brown Brown Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlue Black Black Purple Black Gray Pink\nOrange Blue Black Black Pink Black Gray\nBlack Black Purple Purple Black Black Black\nBlack Yellow Black Gray Blue Orange Black\nBlack Black Red Black Black Black Black\nBlack Purple Brown Red Black Purple Blue\nRed Yellow Black Green Brown Yellow Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Purple Pink Pink Pink Pink\nBlue Purple Purple Pink Pink Pink Pink\nBlue Purple Purple Pink Orange Orange Orange\nYellow Purple Purple Gray Orange Orange Orange\nYellow Red Red Blue Orange Blue Blue\nPurple Red Red Brown Purple Blue Blue\nPurple Brown Red Brown 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:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Green Yellow Yellow Yellow Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Orange Yellow Purple Yellow Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Purple Purple Purple Purple Purple Purple Red Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Blue Blue Blue Blue Blue Blue Red Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Blue Blue Blue Blue Blue Blue Red Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Blue Blue Blue Blue Blue Blue Red Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Blue Blue Blue Blue Blue Blue Red Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Blue Blue Blue Blue Blue Blue Red Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Blue Blue Blue Blue Blue Blue Red Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nGreen Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple Pink Purple Purple Purple Pink Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple Purple Yellow Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple Purple Green Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Purple Purple Purple Gray Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Blue Yellow Yellow Green Green Green Green\nGreen Green Green Green Green Green Purple Purple Brown Purple Purple Green Green Green Green Green Green Green Blue Green Green Green Green Green Green\nGreen Green Green Green Green Green Purple Purple Purple Orange Purple Green Green Green Green Green Green Green Blue Green Green Green Green Green Green\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Blue Blue Blue Blue Blue Blue Blue Blue Purple Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Blue Blue Blue Blue Blue Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Blue Blue Blue Blue Blue Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Blue Blue Blue Blue Blue Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Blue Blue Blue Blue Blue Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Blue Blue Blue Blue Blue Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Blue Blue Blue Blue Blue Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\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\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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Gray Gray Orange Gray Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Pink Orange Orange Orange Gray Gray Orange Green Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Purple Orange Orange Orange Gray Gray Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Yellow Orange Orange Orange Gray Gray Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Brown Orange Gray Gray Orange Yellow Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange 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\nGray Gray Gray Gray Brown 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 Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Green Brown Green 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\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\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\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\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\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Green Brown Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green Brown Green Green Green Green Green Green Green Brown Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green Brown Green Green Green Green Green Green Green Brown Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green Brown Green Green Green Green Green Green Green Brown Green Brown Green Green Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green Brown Green Green Green Green Green Green Green Brown Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green Brown Green Green Green Green Green Green Green Brown Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green Brown Green Green Green Green Green Green Green Brown Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green Brown Green Green Green Green Green Green Green Brown Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green Brown Green Green Green Green Green Green Green Brown Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green Brown Green Green Green Green Green Green 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\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\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\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\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\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\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\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\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red 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 Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Yellow Blue Blue Red Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Blue Red Red Red Green Green Blue Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Blue Red Red Red Green Green Purple Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Green Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Red\nRed Red Red Red Red Green Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Red\nRed Red Red Red Red Green Green Green Green Orange Green Red Red Red Green Yellow Yellow Green Green Green Green Orange Green Red\nRed Red Red Red Red Green Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Green Blue Green Red\nRed Red Red Green Green Green Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Red\nRed Red Red Green Green Green Green Green Green Yellow Green Red Red Red Green Green Green Green Green Green Green Green Green Red\nRed Red Red Green Green Green Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Red\nRed Red Red Green Green Green Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Red\nRed Red Red Green Green Pink Green Green Red Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Green Pink Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green 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 Red Red Red Red\nRed Red Red Red Red 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 Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red 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 Red Red Red Red\nRed Red Red Red Yellow Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Green Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Red\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Green Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue 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 Red Red Red Red\nRed Red Red Red Red 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 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink\nPink Pink Pink Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink\nPink Pink Pink Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink\nPink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Pink Pink Pink\nPink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Pink Pink Pink\nPink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Pink Pink Pink\nPink Pink Pink Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink\nPink Pink Pink Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink\nPink Pink Pink Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink\nPink Pink Pink Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink\nPink Pink Pink Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink\nPink Pink Pink Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink\nPink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Pink Pink Pink\nPink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Pink Pink Pink\nPink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Pink Pink Pink\nPink Pink Pink Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink\nPink Pink Pink Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink\nPink Pink Pink Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black 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 Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black 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 Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Green Green Green Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Green Green Green Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Green Green Green Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Green Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Green Green Black Black\nBlack Black Black Green Green 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 Red Black Black\nBlack Black Black Black Red Red Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Black\nBlack Black Black Black Black Red Red\nBlack Black Black Green Green Red Black\nBlack Black Black Green Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\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 Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Green Red Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Black Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Black Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Orange Purple Orange Purple Orange Purple\nPurple Orange Purple Orange Purple Orange Purple Orange\nOrange Purple Orange Purple Orange Purple Orange Purple\nPurple Orange Purple Orange Purple Orange Purple Orange\nOrange Purple Orange Purple Orange Purple Orange Purple\nPurple Orange Purple Orange Purple Orange Purple Orange\nOrange Purple Orange Purple Orange Purple Orange Purple\nPurple Orange Purple Orange Purple Orange Purple Orange\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nPurple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nPurple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nPurple Orange Purple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple Orange 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```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Yellow Black Red Green Black\nBlack Blue Purple Purple Green Red Black Black\nGreen Black Blue Pink Orange Green Black Red\nBlue Black Green Black Black Blue Black Black\nBlack Black Pink Pink Black Pink Black Yellow\nBlack Black Purple Black Red Black Black Green\nBlack Orange Purple Orange Black Black Black Black\nBlack Purple Red Brown Purple Purple Black Brown\n\nOutput:\nBlack Black Black Blue Black Blue Red Black\nBlack Blue Red Blue Red Blue Black Black\nRed Black Red Blue Red Blue Black Blue\nRed Black Red Black Black Blue Black Black\nBlack Black Red Blue Black Blue Black Blue\nBlack Black Red Black Red Black Black Blue\nBlack Blue Red Blue Black Black Black Black\nBlack Blue Red Blue Red Blue Black Blue\n\n\nExample 2\nInput:\nBrown Black Blue Pink Purple Blue Brown\nBlack Blue Black Purple Green Red Black\nOrange Pink Yellow Black Yellow Purple Purple\nRed Black Purple Black Orange Brown Brown\nBlack Green Black Purple Black Black Black\nPink Black Purple Yellow Brown Black Black\nYellow Green Black Black Black Orange Black\n\nOutput:\nRed Black Red Blue Red Blue Red\nBlack Blue Black Blue Red Blue Black\nRed Blue Red Black Red Blue Red\nRed Black Red Black Red Blue Red\nBlack Blue Black Blue Black Black Black\nRed Black Red Blue Red Black Black\nRed Blue Black Black Black Blue Black\n\n\nExample 3\nInput:\nGreen Black Black Black Black Black Orange Purple Black\nPurple Black Green Green Pink Black Orange Brown Green\nBlack Black Yellow Black Black Yellow Black Black Black\nBlue Black Pink Pink Black Purple Black Black Pink\nBlack Brown Orange Black Red Black Green Red Black\nGreen Green Red Black Purple Blue Brown Black Black\nYellow Black Orange Green Brown Purple Black Black Brown\n\nOutput:\nRed Black Black Black Black Black Red Blue Black\nRed Black Red Blue Red Black Red Blue Red\nBlack Black Red Black Black Blue Black Black Black\nRed Black Red Blue Black Blue Black Black Red\nBlack Blue Red Black Red Black Red Blue Black\nRed Blue Red Black Red Blue Red Black Black\nRed Black Red Blue Red Blue Black Black Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Black Blue Black Black Green Black Black\nBlack Black Green Pink Red Orange Black Pink Brown\nBlue Black Black Black Black Orange Black Brown Black\nYellow Blue Black Black Black Black Black Red Black\nBlack Pink Black Black Black Black Black Black Black\nPurple Black Green Blue Brown Purple Orange Black Yellow\nBlue Blue Purple Yellow Black Purple Black Pink Black\nBlack Orange Black Green Red Black Black Pink Pink\nBlack Black Black Red Green Black Brown Orange Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Blue Black Blue Black Black Red Black Black\nBlack Black Red Blue Red Blue Black Blue Red\nRed Black Black Black Black Blue Black Blue Black\nRed Blue Black Black Black Black Black Blue Black\nBlack Blue Black Black Black Black Black Black Black\nRed Black Red Blue Red Blue Red Black Red\nRed Blue Red Blue Black Blue Black Blue Black\nBlack Blue Black Blue Red Black Black Blue Red\nBlack Black Black Blue Red Black Red Blue Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Pink Yellow Yellow Yellow Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Purple Purple Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Green 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 Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Green Green Green Pink Yellow Yellow Yellow Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Green Black Yellow Yellow Yellow Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Green Black Yellow Yellow Yellow Black Black Purple Purple Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Yellow Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Black Black Green Gray Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Green Green Orange Orange 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 Orange Orange Orange Orange Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Green Green Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Green Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Orange Orange Black Black Black\n\n\nExample 3\nInput:\nBlack Black Brown Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Red Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Orange Black Black\n\nOutput:\nBlack Black Brown Black Black Purple Purple Purple Purple Black Black Brown Brown Brown Brown Black\nBlack Brown Brown Brown Black Purple Purple Purple Purple Black Black Brown Brown Brown Brown Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Brown Brown Brown Brown Black 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 Black Black Black Black Black Black Black\nBlack 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\nBlack Black Blue Blue Blue Black Black Pink Pink Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Pink Pink Black Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Pink Black Black Pink Black Black\nBlack Black Blue Black Blue Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black 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```\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Pink Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Blue Black Black Black Black Black Black Black Black Black Black Pink\nBlue Black Blue Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown 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 Pink Black Black Black Brown Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\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 Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Orange Black Black Black Pink Black Black Black Brown Brown Black Brown Black Pink Black Orange\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 Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Orange Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlue Black 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 Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Yellow Red Black Black Blue Blue Black Blue Black Gray Brown Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black 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\nBlack Black Orange Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\n\nOutput:\nBlue Black Orange Black Black Black Brown Black Black Green Black Blue Blue Purple Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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 Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Brown Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Gray Brown Blue Brown Gray Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
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