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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 Black Black Yellow Black Black Black\nBlack Yellow Yellow Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Black Yellow Yellow\nBlack Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Yellow\n\nOutput:\nYellow Yellow Black Black Yellow Black Black Black\nBlack Yellow Yellow Black Black Black Pink Pink\nBlack Black Black Black Yellow Black Pink Pink\nBlack Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Yellow\n\n\nExample 2\nInput:\nYellow Black Black Yellow Yellow Black Black Black\nYellow Black Black Yellow Yellow Black Black Black\nYellow Yellow Black Black Black Black Yellow Black\nBlack Black Black Yellow Black Black Black Yellow\nYellow Black Black Black Black Black Yellow Black\nBlack Yellow Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black\nYellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Black Yellow Black Black Black Black\n\nOutput:\nYellow Black Black Pink Pink Black Black Black\nYellow Black Black Pink Pink Black Black Black\nYellow Yellow Black Black Black Black Yellow Black\nBlack Black Black Yellow Black Black Black Yellow\nYellow Black Black Black Black Black Yellow Black\nBlack Yellow Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black\nYellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Black Yellow Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Yellow Yellow Black Yellow Yellow Black\nYellow Black Black Yellow Yellow Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black\nYellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black\nBlack Black Yellow Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow\n\nOutput:\nBlack Black Black Pink Pink Black Pink Pink Black\nYellow Black Black Pink Pink Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black\nYellow Black Yellow Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Yellow Black\nBlack Black Pink Pink Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Black Black Black\nYellow Yellow Black Yellow Black\nBlack Black Black Black Black\nBlack Yellow Yellow Yellow Black\nYellow Black Yellow Yellow Yellow\nBlack Black Black 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```\nPink Pink Black Black Black\nPink Pink Black Yellow Black\nBlack Black Black Black Black\nBlack Yellow Yellow Yellow Black\nYellow Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow\n```",
"role": "assistant"
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] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Yellow Yellow Blue Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Blue\nBlack Black Black Black Brown Black Black Black Yellow Black\nBrown Black Black Blue Purple Gray Black Black Black Black\nBlack Yellow Black Black Black Purple Black Black Black Black\nBlack Black Black Gray Black Black Purple Black Black Black\nYellow Black Black Purple Blue Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black\n\n\nExample 2\nInput:\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Orange Black Black Black Black Black Pink Black Green\nBlack Black Black Pink Black Gray Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Orange Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Purple Green Black Black Black Black Black Black\nGreen Black Gray Black Black Pink Black Gray Black Black\nPink Black Gray Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Black Black Black Black\nBlack Black Black Orange Black Black Black Black\nBlack Black Black Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Black Black Black Black\nBlack Black Black Orange Black Black Black Black\nBlack Black Black Orange Black Black Black Black\nBlack Black Black Orange Black Black Black Black\n\n\nExample 3\nInput:\nPink Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Pink 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 Gray Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Gray Black Black Yellow Black Black Gray Black Black\nBlack Gray Black Black Black Black Black Pink Black Black\n\nOutput:\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow 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 Gray 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Blue Black\nBlue Blue Blue\nBlack Blue Black\n```",
"role": "assistant"
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] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Red Red Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Red Red Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Pink Pink 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 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\nBlack Black Black Black Gray Gray Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Green Green Green Green Green Green Green Green Black Black Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Green Green Green Green Green Green Green Green Black Black Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black 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\nBlack Black Purple Purple Purple Purple Purple Purple Red Red Black Black Red Red Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Red Red Black Black Red Red Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Red Red Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Red Red Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPink Pink Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Orange Orange Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Orange Orange 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 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\nBlack Black Black Black Gray Gray Green Green Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Gray Gray Green Green Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nYellow Yellow Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Orange Orange Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Orange Orange 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 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\nBlack Black Black Black Gray Gray Green Green Green Green Green Green Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Green Green Green Green Green Green Black Black Green Green Green Green Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray 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 Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nBlue Blue Orange Orange Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Orange Orange Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow 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 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\nBlack Black Black Black Gray Gray Green Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Gray Gray Green Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Green Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray 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"
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"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlue Blue Black Black Blue Blue Blue Blue Orange Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Black Black Blue Blue Blue Blue Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nRed Red Black Black Red Red Red Red Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nRed Red Black Black Red Red Red Red Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Red Red Red Red Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green Green Green Blue Blue Blue Blue Green Green Blue Blue\nBlue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green Green Green Blue Blue Blue Blue Green Green Blue Blue\nBlue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 Blue Blue Green Green Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green Green Green Blue Blue Blue Blue Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green Green Green Blue Blue Blue Blue Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack 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 Blue Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack 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 Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Pink Pink Blue Blue Black Black Black Black Black Black Black Black\nPink Pink Blue Blue Black Black Pink Pink Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Yellow Yellow Black Black Pink Pink Yellow Yellow Black Black Black Black Black Black\nBlack Black Pink Pink Yellow Yellow Black Black Pink Pink Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Yellow Yellow\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\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 Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue 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 Blue Blue Black Black\nBlack Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black 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 Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Brown Black Brown Brown Black\nBlack Brown Purple Purple Black Black\nBlack Black Purple Purple Brown Black\nBlack Brown Brown Black Brown Black\nBlack Black Black Black Black Black\n\nOutput:\nBrown Black Brown Brown Brown Black Brown Brown\nBrown Purple Purple Black Brown Purple Purple Black\nBlack Purple Purple Brown Black Purple Purple Brown\nBrown Brown Black Brown Brown Brown Black Brown\nBrown Black Brown Brown Brown Black Brown Brown\nBrown Purple Purple Black Brown Purple Purple Black\nBlack Purple Purple Brown Black Purple Purple Brown\nBrown Brown Black Brown Brown Brown Black Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Red Brown Brown Black\nBlack Brown Brown Black Black\nBlack Red Brown Brown Black\nBlack Black Black Black Black\n\nOutput:\nBrown Black Brown Red Brown Red\nBrown Brown Brown Brown Brown Brown\nRed Brown Red Brown Black Brown\nRed Brown Brown Brown Brown Red\nBrown Brown Black Black Brown Brown\nRed Brown Brown Brown Brown Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Blue Black\nBlack Purple Red Blue Black\nBlack Black Black Blue Black\nBlack Black Black Black Black\n\nOutput:\nBlue Blue Blue Black Purple Black\nBlack Red Black Black Red Black\nBlack Purple Black Blue Blue Blue\nBlack Black Blue Blue Black Black\nPurple Red Blue Blue Red Purple\nBlack Black Blue Blue 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```\nGreen Orange Brown Brown Orange Green\nBlack Green Green Green Green Black\nGreen Orange Brown Brown Orange Green\nGreen Black Green Brown Green Brown\nOrange Green Orange Orange Green Orange\nBrown Green Brown Green Black Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Yellow Yellow\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 Blue Blue\nBlack Black Black Black Black Blue Blue\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 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black\nBlack Black Black Black Black Blue Black 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 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 Yellow\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue\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 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 Brown Brown Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Yellow\nBlack Black Yellow Yellow Black Blue Black Black Black Yellow\nBrown Black Yellow Yellow Black Blue Black Yellow Black Black\nBrown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Brown Brown Black\nBlack Black Black Black Brown Black Black Brown Brown Black\nYellow Yellow Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Purple Purple Black Black Black Purple Black Black\nBlack Black Black Black Black Purple Black Purple Black Purple\nPurple Black Purple Purple Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Purple\nBlack Black Purple Purple Black Orange Black Black Black Purple\nPurple Black Purple Purple Black Orange Black Purple Black Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Purple Purple Black\nBlack Black Black Black Purple Black Black Purple Purple Black\nPurple Purple Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGreen Black Black Black Black Black Black Purple Black Black\nGreen Black Orange Black Orange Orange Black Black Black Orange\nBlack Black Black Black Orange Orange Black Green Black Black\nOrange Black Purple Black Black Black Black Green Black Orange\nOrange Black Purple Black Black Orange Black Black Black Orange\nBlack Black Black Black Black Orange Black Black Black Black\nOrange Black Black Green Black Black Black Black Purple Purple\nBlack Black Black Green Black Black Green Black Black Black\nBlack Green Black Black Black Black Black Black Green Green\nBlack Green Black Purple Black Purple Purple Black Black Black\n\nOutput:\nPurple Black Black Black Black Black Black Purple Black Black\nPurple Black Purple Black Purple Purple Black Black Black Purple\nBlack Black Black Black Purple Purple Black Purple Black Black\nPurple Black Purple Black Black Black Black Purple Black Purple\nPurple Black Purple Black Black Purple Black Black Black Purple\nBlack Black Black Black Black Purple Black Black Black Black\nPurple Black Black Purple Black Black Black Black Purple Purple\nBlack Black Black Purple Black Black Purple Black Black Black\nBlack Purple Black Black Black Black Black Black Purple Purple\nBlack Purple Black Purple Black Purple Purple Black Black Black\n\n\nExample 3\nInput:\nPink Black Black Gray Black Pink Black Gray Gray Black\nBlack Black Black Gray Black Pink Black Gray Gray Black\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Pink Pink Black Pink\nBlack Pink Black Gray Gray Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Green Black Green Black Gray Gray Black Gray\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Pink Pink Black Pink Black Black Black Pink Pink\nBlack Pink Pink Black Pink Black Black Black Pink Pink\n\nOutput:\nPurple Black Black Purple Black Purple Black Purple Purple Black\nBlack Black Black Purple Black Purple Black Purple Purple Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Purple Purple Black Purple\nBlack Purple Black Purple Purple Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Black Yellow Black Yellow Black Purple Purple Black Purple\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Purple Purple Black Purple Black Black Black Purple Purple\nBlack Purple Purple Black Purple Black Black Black Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Brown Black Black\nBlack Brown Brown Black Black Black Black Brown Black Brown\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Red Red Black Red Red Black Black\nBrown Brown Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Brown Brown Black\nBlack Black Brown Black Black Red Black Black Black Black\nBlack Black Brown Black Black Black Black Black 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```\nPurple Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Black Purple Black Black\nBlack Purple Purple Black Black Black Black Purple Black Purple\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Purple Purple Black Purple Purple Black Black\nPurple Purple Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Purple Purple Black\nBlack Black Purple Black Black Purple Black Black Black Black\nBlack Black Purple Black Black Black Black Black 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:\nGreen Green Green Black Black Black\nBlack Black Green Black Black Black\nBlack Black Green Black Brown Brown\nBlack Black Red Red Brown Black\n\nOutput:\nRed Red Brown Red\nRed Red Brown Brown\nRed Red Red Orange\nYellow Yellow Yellow Orange\nYellow Red Red Red\nYellow Red Red Red\n\n\nExample 2\nInput:\nPurple Blue Black Black\nYellow Gray Brown Brown\nRed Gray Gray Black\nYellow Gray Brown Brown\nPurple Blue Black Black\n\nOutput:\nRed Brown Red Brown Red\nRed Brown Gray Brown Red\nYellow Gray Gray Gray Yellow\nOrange Green Orange Green Orange\n\n\nExample 3\nInput:\nBlack Black Black Red Black\nBlack Black Green Red Red\nBlack Yellow Black Red Red\nBlue Orange Black Brown Pink\nBlack Orange Pink Pink Pink\n\nOutput:\nRed Orange Orange Pink Pink\nOrange Orange Orange Brown Pink\nRed Yellow Red Red Pink\nRed Red Green Purple Purple\nRed Red Red Yellow Red\n\n\nHere is the input grid for the test example:\nInput:\nGreen Orange Brown\nBlack Green Green\nGreen Orange 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 Yellow Brown\nPurple Yellow Purple\nYellow Red 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\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\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 Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black\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 Gray Gray 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 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black 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 Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Brown Brown Purple Pink\nYellow Green Green Purple Orange\nYellow Yellow Orange Orange Purple\nYellow Red Gray Orange Yellow\n\nOutput:\nYellow Orange Gray Red Yellow Orange Gray Red Yellow Orange Gray Red Green Green Purple Orange\nPurple Orange Orange Yellow Purple Orange Orange Yellow Purple Orange Orange Yellow Yellow Orange Orange Purple\nOrange Purple Green Green Orange Purple Green Green Orange Purple Green Green Red Gray Orange Yellow\n\n\nExample 2\nInput:\nPink Yellow Green Yellow Yellow Red\nPink Pink Green Gray Gray Blue\nBlue Blue Green Brown Brown Yellow\nPurple Brown Yellow Orange Brown Orange\nOrange Purple Gray Gray Red Pink\n\nOutput:\nPink Red Gray Gray Purple Pink Red Gray Gray Purple Pink Red Gray Gray Purple Pink Red Gray Gray Purple Pink Green Gray Gray Blue\nOrange Brown Orange Yellow Brown Orange Brown Orange Yellow Brown Orange Brown Orange Yellow Brown Orange Brown Orange Yellow Brown Blue Green Brown Brown Yellow\nYellow Brown Brown Green Blue Yellow Brown Brown Green Blue Yellow Brown Brown Green Blue Yellow Brown Brown Green Blue Brown Yellow Orange Brown Orange\nBlue Gray Gray Green Pink Blue Gray Gray Green Pink Blue Gray Gray Green Pink Blue Gray Gray Green Pink Purple Gray Gray Red Pink\n\n\nExample 3\nInput:\nPink Gray Red Purple Orange Yellow\nGray Blue Red Brown Brown Yellow\nYellow Red Red Brown Purple Brown\nBrown Gray Gray Orange Orange Gray\nGray Gray Blue Blue Orange Orange\n\nOutput:\nOrange Orange Blue Blue Gray Orange Orange Blue Blue Gray Orange Orange Blue Blue Gray Orange Orange Blue Blue Gray Blue Red Brown Brown Yellow\nGray Orange Orange Gray Gray Gray Orange Orange Gray Gray Gray Orange Orange Gray Gray Gray Orange Orange Gray Gray Red Red Brown Purple Brown\nBrown Purple Brown Red Red Brown Purple Brown Red Red Brown Purple Brown Red Red Brown Purple Brown Red Red Gray Gray Orange Orange Gray\nYellow Brown Brown Red Blue Yellow Brown Brown Red Blue Yellow Brown Brown Red Blue Yellow Brown Brown Red Blue Gray Blue Blue Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nRed Yellow Purple Gray\nPink Blue Blue Pink\nBlue Blue Pink 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 Pink Blue Gray Pink Blue Blue Blue Pink\nPink Blue Blue Pink Blue Blue Blue Pink 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:\nPink Pink Pink Black Pink Black Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink Black Pink Pink Pink Black Pink Pink Pink Pink\nPink Pink Black Black Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Black Pink\nPink Pink Pink Black Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Pink Black Pink Black Pink\nPink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Black Pink Pink Pink\nPink Pink Pink Pink Pink Black Pink Pink Black Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Black Black Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Black Black\nBlack Pink Pink Pink Black Pink Black Pink Pink Pink Pink Black Pink Green Pink Pink Pink Black\nBlack Black Pink Black Pink Pink Pink Pink Black Black Pink Pink Pink Black Pink Black Black Pink\nBlack Pink Black Black Pink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Pink Pink Pink\nPink Black Pink Black Pink Pink Black Black Black Black Pink Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Black Pink Black Black Pink Black Black\nBlack Pink Black Pink Pink Pink Black Black Pink Black Pink Pink Black Black Pink Black Pink Pink\nBlack Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Black Pink Black Black Black Pink\nBlack Black Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink\nPink Pink Black Pink Black Pink Pink Pink Black Pink Pink Black Black Pink Black Pink Black Pink\n\nOutput:\nPink Pink Pink Black Pink Black Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink Black Pink Pink Pink Black Pink Pink Pink Pink\nPink Pink Black Black Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Black Pink\nPink Pink Pink Black Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Pink Black Pink Black Pink\nPink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Black Pink Pink Pink\nPink Pink Pink Pink Pink Black Pink Pink Black Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Black Black Pink Black Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Black Black\nBlack Pink Pink Pink Black Pink Black Pink Pink Pink Pink Black Blue Blue Blue Pink Pink Black\nBlack Black Pink Black Pink Pink Pink Pink Black Black Pink Pink Blue Blue Blue Black Black Pink\nBlack Pink Black Black Pink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Pink Pink Pink\nPink Black Pink Black Pink Pink Black Black Black Black Pink Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Black Pink Black Black Pink Black Black\nBlack Pink Black Pink Pink Pink Black Black Pink Black Pink Pink Black Black Pink Black Pink Pink\nBlack Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Black Pink Black Black Black Pink\nBlack Black Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink\nPink Pink Black Pink Black Pink Pink Pink Black Pink Pink Black Black Pink Black Pink Black Pink\n\n\nExample 2\nInput:\nBlack Black Purple Black Purple Black Purple\nPurple Purple Purple Purple Black Purple Purple\nBlack Purple Black Purple Purple Purple Purple\nPurple Purple Purple Green Purple Purple Purple\nPurple Purple Purple Black Black Black Purple\nPurple Black Purple Black Purple Purple Black\nPurple Purple Purple Purple Purple Purple Purple\n\nOutput:\nBlack Black Purple Black Purple Black Purple\nPurple Purple Purple Purple Black Purple Purple\nBlack Purple Blue Blue Blue Purple Purple\nPurple Purple Blue Blue Blue Purple Purple\nPurple Purple Blue Blue Blue Black Purple\nPurple Black Purple Black Purple Purple Black\nPurple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Black Brown Brown\nBrown Brown Brown Black Black Green Black\nBrown Black Brown Brown Black Brown Black\nBrown Brown Brown Black Brown Brown Black\nBrown Brown Black Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Black\n\nOutput:\nBlack Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Blue Blue Blue\nBrown Brown Brown Black Blue Blue Blue\nBrown Black Brown Brown Blue Blue Blue\nBrown Brown Brown Black Brown Brown Black\nBrown Brown Black Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Black\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Orange Orange Black Orange Black Orange\nOrange Orange Orange Orange Black Orange Orange Black Orange\nOrange Orange Orange Orange Black Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Black Black Orange Orange Orange Green Orange\nOrange Black Black Black Orange Black Black Orange Orange\nBlack Orange Black Orange Orange Orange Black Orange Orange\nBlack Black Black Orange Black Orange Orange Orange Orange\nOrange Black Orange Orange Black Black Orange Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Black Orange Black Orange\nOrange Orange Orange Orange Black Orange Orange Black Orange\nOrange Orange Orange Orange Black Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Blue Blue\nOrange Orange Black Black Orange Orange Blue Blue Blue\nOrange Black Black Black Orange Black Blue Blue Blue\nBlack Orange Black Orange Orange Orange Black Orange Orange\nBlack Black Black Orange Black Orange Orange Orange Orange\nOrange Black Orange Orange Black Black Orange Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Red Red Black Black Yellow Yellow Black Black Green Green Black Black Yellow Yellow\nBlack Black Red Red Black Black Yellow Yellow Black Black Green Green Black Black Yellow Yellow\nYellow Yellow Black Black Red Red Black Black Blue Blue Black Black Blue Blue Black Black\nYellow Yellow Black Black Red Red Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Yellow Yellow Black Black Green Green\nBlack Black Blue Blue Black Black Blue Blue Black Black Yellow Yellow Black Black Green Green\nYellow Yellow Black Black Yellow Yellow Black Black Red Red Black Black Blue Blue Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Red Red Black Black Blue Blue Black Black\nBlack Black Green Green Black Black Green Green Black Black Yellow Yellow Black Black Red Red\nBlack Black Green Green Black Black Green Green Black Black Yellow Yellow Black Black Red Red\nRed Red Black Black Green Green Black Black Red Red Black Black Green Green Black Black\nRed Red Black Black Green Green Black Black Red Red Black Black Green Green Black Black\nBlack Black Green Green Black Black Green Green Black Black Blue Blue Black Black Yellow Yellow\nBlack Black Green Green Black Black Green Green Black Black Blue Blue Black Black Yellow Yellow\nBlue Blue Black Black Green Green Black Black Red Red Black Black Yellow Yellow Black Black\nBlue Blue Black Black Green Green Black Black Red Red Black Black Yellow Yellow Black Black\n\nOutput:\nBlack Black Blue Blue Black Black Red Red Black Black Yellow Yellow Black Black Red Red\nBlack Black Blue Blue Black Black Red Red Black Black Yellow Yellow Black Black Red Red\nRed Red Black Black Blue Blue Black Black Green Green Black Black Green Green Black Black\nRed Red Black Black Blue Blue Black Black Green Green Black Black Green Green Black Black\nBlack Black Green Green Black Black Green Green Black Black Red Red Black Black Yellow Yellow\nBlack Black Green Green Black Black Green Green Black Black Red Red Black Black Yellow Yellow\nRed Red Black Black Red Red Black Black Blue Blue Black Black Green Green Black Black\nRed Red Black Black Red Red Black Black Blue Blue Black Black Green Green Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Red Red Black Black Blue Blue\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Red Red Black Black Blue Blue\nBlue Blue Black Black Yellow Yellow Black Black Blue Blue Black Black Yellow Yellow Black Black\nBlue Blue Black Black Yellow Yellow Black Black Blue Blue Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Green Green Black Black Red Red\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Green Green Black Black Red Red\nGreen Green Black Black Yellow Yellow Black Black Blue Blue Black Black Red Red Black Black\nGreen Green Black Black Yellow Yellow Black Black Blue Blue Black Black Red Red Black Black\n\n\nExample 2\nInput:\nBlue Blue Black Black Yellow Yellow Black Black Yellow Yellow\nBlue Blue Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Green Green Black Black Red Red Black Black\nBlack Black Green Green Black Black Red Red Black Black\nBlue Blue Black Black Red Red Black Black Red Red\nBlue Blue Black Black Red Red Black Black Red Red\nBlack Black Blue Blue Black Black Red Red Black Black\nBlack Black Blue Blue Black Black Red Red Black Black\nBlue Blue Black Black Green Green Black Black Yellow Yellow\nBlue Blue Black Black Green Green Black Black Yellow Yellow\nBlack Black Green Green Black Black Yellow Yellow Black Black\nBlack Black Green Green Black Black Yellow Yellow Black Black\nBlue Blue Black Black Yellow Yellow Black Black Red Red\nBlue Blue Black Black Yellow Yellow Black Black Red Red\n\nOutput:\nGreen Green Black Black Red Red Black Black Red Red\nGreen Green Black Black Red Red Black Black Red Red\nBlack Black Yellow Yellow Black Black Blue Blue Black Black\nBlack Black Yellow Yellow Black Black Blue Blue Black Black\nGreen Green Black Black Blue Blue Black Black Blue Blue\nGreen Green Black Black Blue Blue Black Black Blue Blue\nBlack Black Green Green Black Black Blue Blue Black Black\nBlack Black Green Green Black Black Blue Blue Black Black\nGreen Green Black Black Yellow Yellow Black Black Red Red\nGreen Green Black Black Yellow Yellow Black Black Red Red\nBlack Black Yellow Yellow Black Black Red Red Black Black\nBlack Black Yellow Yellow Black Black Red Red Black Black\nGreen Green Black Black Red Red Black Black Blue Blue\nGreen Green Black Black Red Red Black Black Blue Blue\n\n\nExample 3\nInput:\nBlack Black Green Green Black Black Blue Blue Black Black Green Green\nBlack Black Green Green Black Black Blue Blue Black Black Green Green\nYellow Yellow Black Black Red Red Black Black Red Red Black Black\nYellow Yellow Black Black Red Red Black Black Red Red Black Black\nBlack Black Blue Blue Black Black Red Red Black Black Yellow Yellow\nBlack Black Blue Blue Black Black Red Red Black Black Yellow Yellow\nRed Red Black Black Green Green Black Black Red Red Black Black\nRed Red Black Black Green Green Black Black Red Red Black Black\nBlack Black Red Red Black Black Blue Blue Black Black Yellow Yellow\nBlack Black Red Red Black Black Blue Blue Black Black Yellow Yellow\nGreen Green Black Black Red Red Black Black Green Green Black Black\nGreen Green Black Black Red Red Black Black Green Green Black Black\n\nOutput:\nBlack Black Yellow Yellow Black Black Green Green Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Green Green Black Black Yellow Yellow\nRed Red Black Black Blue Blue Black Black Blue Blue Black Black\nRed Red Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Green Green Black Black Blue Blue Black Black Red Red\nBlack Black Green Green Black Black Blue Blue Black Black Red Red\nBlue Blue Black Black Yellow Yellow Black Black Blue Blue Black Black\nBlue Blue Black Black Yellow Yellow Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Green Green Black Black Red Red\nBlack Black Blue Blue Black Black Green Green Black Black Red Red\nYellow Yellow Black Black Blue Blue Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Blue Blue Black Black Yellow Yellow Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Red Black Black Red Red\nBlack Black Red Red Black Black Red Red\nRed Red Black Black Blue Blue Black Black\nRed Red Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Red Red\nBlack Black Blue Blue Black Black Red Red\nBlue Blue Black Black Blue Blue Black Black\nBlue Blue 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```\nBlack Black Blue Blue Black Black Blue Blue\nBlack Black Blue Blue Black Black Blue Blue\nBlue Blue Black Black Green Green Black Black\nBlue Blue Black Black Green Green Black Black\nBlack Black Green Green Black Black Blue Blue\nBlack Black Green Green Black Black Blue Blue\nGreen Green Black Black Green Green Black Black\nGreen Green Black Black Green Green Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Green Black Red Yellow Black Blue Orange Black Black Orange Black Black Brown Pink Black Brown Pink Yellow Purple\nBlack Black Black Black Black Purple Black Black Pink Black Orange Black Yellow Orange Black Black Black Black Purple Green\nBlack Black Brown Black Orange Black Orange Purple Black Black Black Red Black Black Red Black Black Black Black Pink\nPurple Black Black Pink Black Black Pink Black Orange Black Blue Black Black Black Purple Black Black Blue Yellow Black\nBlack Orange Red Black Orange Red Black Black Black Purple Black Black Red Black Yellow Pink Red Yellow Orange Black\nBlack Blue Brown Brown Black Black Yellow Black Blue Black Black Purple Purple Black Gray Yellow Black Black Black Purple\nBlack Black Purple Blue Orange Black Red Black Blue Purple Yellow Yellow Black Pink Pink Purple Black Black Red Black\nBrown Black Black Purple Black Orange Orange Yellow Brown Red Purple Black Red Black Black Black Blue Orange Orange Black\nBlack Red Black Red Blue Black Black Purple Black Pink Green Black Brown Purple Orange Blue Black Red Black Black\nBlack Green Red Black Black Green Pink Orange Brown Black Black Black Yellow Black Black Yellow Black Black Black Brown\nBrown Red Black Black Pink Black Yellow Black Green Black Purple Black Gray Black Black Black Black Black Black Black\nBlue Black Orange Black Blue Black Red Gray Pink Green Brown Black Red Black Black Black Red Black Black Pink\nBlack Purple Black Pink Black Black Black Red Black Black Orange Black Black Black Orange Orange Gray Orange Black Brown\nBlue Yellow Black Brown Black Orange Black Black Green Black Black Green Black Purple Gray Orange Yellow Gray Blue Yellow\nBlack Red Black Blue Brown Orange Black Black Black Green Black Black Black Black Blue Brown Orange Black Black Blue\nPurple Purple Purple Brown Black Black Black Brown Black Black Black Black Orange Black Black Pink Red Purple Green Black\nBrown Black Brown Black Black Black Black Black Black Black Green Green Black Blue Brown Gray Purple Gray Red Black\nBlack Purple Brown Black Black Black Pink Pink Black Gray Pink Black Black Gray Black Black Black Purple Brown Black\nBlack Black Blue Black Black Green Black Blue Pink Red Black Pink Black Red Purple Black Yellow Black Pink Purple\nBlack Black Black Orange Yellow Black Red Black Black Black Pink Purple Black Orange Green Black Black Black Green Black\n\nOutput:\nPurple Purple Black Purple Purple Black Purple Purple Black Black Purple Black Black Purple Purple Black Purple Purple Purple Purple\nBlack Black Black Black Black Purple Black Black Purple Black Purple Black Purple Purple Black Black Black Black Purple Purple\nBlack Black Purple Black Purple Black Purple Purple Black Black Black Purple Black Black Purple Black Black Black Black Purple\nPurple Black Black Purple Black Black Purple Black Purple Black Purple Black Black Black Purple Black Black Purple Purple Black\nBlack Purple Purple Black Purple Purple Black Black Black Purple Black Black Purple Black Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Black Black Purple Black Purple Black Black Purple Purple Black Purple Purple Black Black Black Purple\nBlack Black Purple Purple Purple Black Purple Black Purple Purple Purple Purple Black Purple Purple Purple Black Black Purple Black\nPurple Black Black Purple Black Purple Purple Purple Purple Purple Purple Black Purple Black Black Black Purple Purple Purple Black\nBlack Purple Black Purple Purple Black Black Purple Black Purple Purple Black Purple Purple Purple Purple Black Purple Black Black\nBlack Purple Purple Black Black Purple Purple Purple Purple Black Black Black Purple Black Black Purple Black Black Black Purple\nPurple Purple Black Black Purple Black Purple Black Purple Black Purple Black Purple Black Black Black Black Black Black Black\nPurple Black Purple Black Purple Black Purple Purple Purple Purple Purple Black Purple Black Black Black Purple Black Black Purple\nBlack Purple Black Purple Black Black Black Purple Black Black Purple Black Black Black Purple Purple Purple Purple Black Purple\nPurple Purple Black Purple Black Purple Black Black Purple Black Black Purple Black Purple Purple Purple Purple Purple Purple Purple\nBlack Purple Black Purple Purple Purple Black Black Black Purple Black Black Black Black Purple Purple Purple Black Black Purple\nPurple Purple Purple Purple Black Black Black Purple Black Black Black Black Purple Black Black Purple Purple Purple Purple Black\nPurple Black Purple Black Black Black Black Black Black Black Purple Purple Black Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Black Black Black Purple Purple Black Purple Purple Black Black Purple Black Black Black Purple Purple Black\nBlack Black Purple Black Black Purple Black Purple Purple Purple Black Purple Black Purple Purple Black Purple Black Purple Purple\nBlack Black Black Purple Purple Black Purple Black Black Black Purple Purple Black Purple Purple Black Black Black Purple Black\n\n\nExample 2\nInput:\nPurple Blue Orange Black Black Green Black Orange Pink Purple Brown Brown Black Black Brown Red Black Red Black Orange\nGray Red Purple Black Brown Black Black Black Black Yellow Black Black Black Pink Gray Black Purple Blue Black Blue\nBlack Black Black Black Green Pink Green Black Black Black Blue Purple Black Pink Pink Blue Brown Red Black Black\nBlack Black Black Blue Brown Purple Black Black Black Black Black Black Purple Black Purple Black Green Black Black Black\nBlack Black Yellow Blue Black Black Black Orange Black Orange Pink Blue Black Black Black Yellow Green Blue Black Black\nOrange Black Yellow Black Gray Black Green Pink Green Black Brown Black Blue Black Black Black Black Black Black Red\nGreen Black Yellow Black Brown Yellow Yellow Black Black Green Pink Black Orange Gray Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Red Blue Black Black Black Yellow Orange Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Pink Brown Orange Black Red Brown Green Black Black Black Black Green Black\nPink Black Pink Black Green Black Blue Yellow Purple Gray Pink Black Red Green Black Black Brown Red Black Black\nPink Green Black Black Black Black Purple Black Black Black Green Orange Black Green Black Purple Brown Pink Red Black\nBlack Black Black Black Black Black Red Blue Black Pink Black Black Black Black Green Black Brown Yellow Green Black\nBlack Pink Black Black Pink Black Blue Black Pink Orange Black Blue Black Red Black Pink Purple Black Black Pink\nBlack Gray Black Black Black Gray Black Black Brown Yellow Yellow Black Red Black Purple Black Black Black Black Yellow\nBlack Green Pink Black Black Black Red Pink Black Pink Gray Brown Gray Green Black Black Brown Purple Black Gray\nGreen Purple Black Purple Blue Black Black Black Black Black Green Black Black Gray Red Yellow Black Black Green Purple\nBrown Purple Black Black Pink Blue Black Red Purple Black Red Black Red Pink Purple Black Black Brown Black Gray\nPink Purple Black Black Orange Green Yellow Blue Orange Brown Black Purple Black Orange Red Black Green Brown Orange Black\nPink Black Purple Black Pink Black Black Black Orange Black Yellow Brown Pink Black Gray Black Black Orange Black Green\nBlack Black Black Orange Blue Black Red Black Gray Black Black Brown Black Gray Purple Black Orange Black Black Black\n\nOutput:\nPink Pink Pink Black Black Pink Black Pink Pink Pink Pink Pink Black Black Pink Pink Black Pink Black Pink\nPink Pink Pink Black Pink Black Black Black Black Pink Black Black Black Pink Pink Black Pink Pink Black Pink\nBlack Black Black Black Pink Pink Pink Black Black Black Pink Pink Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Pink Black Pink Black Pink Black Black Black\nBlack Black Pink Pink Black Black Black Pink Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black\nPink Black Pink Black Pink Black Pink Pink Pink Black Pink Black Pink Black Black Black Black Black Black Pink\nPink Black Pink Black Pink Pink Pink Black Black Pink Pink Black Pink Pink Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Pink Pink Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Pink Pink Pink Black Pink Pink Pink Black Black Black Black Pink Black\nPink Black Pink Black Pink Black Pink Pink Pink Pink Pink Black Pink Pink Black Black Pink Pink Black Black\nPink Pink Black Black Black Black Pink Black Black Black Pink Pink Black Pink Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Black Pink Black Black Black Black Pink Black Pink Pink Pink Black\nBlack Pink Black Black Pink Black Pink Black Pink Pink Black Pink Black Pink Black Pink Pink Black Black Pink\nBlack Pink Black Black Black Pink Black Black Pink Pink Pink Black Pink Black Pink Black Black Black Black Pink\nBlack Pink Pink Black Black Black Pink Pink Black Pink Pink Pink Pink Pink Black Black Pink Pink Black Pink\nPink Pink Black Pink Pink Black Black Black Black Black Pink Black Black Pink Pink Pink Black Black Pink Pink\nPink Pink Black Black Pink Pink Black Pink Pink Black Pink Black Pink Pink Pink Black Black Pink Black Pink\nPink Pink Black Black Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Black Pink Pink Pink Black\nPink Black Pink Black Pink Black Black Black Pink Black Pink Pink Pink Black Pink Black Black Pink Black Pink\nBlack Black Black Pink Pink Black Pink Black Pink Black Black Pink Black Pink Pink Black Pink Black Black Black\n\n\nExample 3\nInput:\nBlack Black Gray Orange Black Gray Brown Black Purple Green Yellow Black Black Gray Pink Blue Black Red Black Black\nBrown Black Black Black Black Black Yellow Blue Brown Orange Black Black Black Blue Black Black Black Black Brown Brown\nBlack Black Black Black Pink Red Purple Blue Black Black Black Black Black Brown Gray Black Black Gray Blue Black\nBlack Black Black Pink Black Pink Black Black Black Black Black Gray Yellow Brown Gray Blue Purple Yellow Green Yellow\nBlack Black Black Black Black Yellow Black Black Green Orange Black Black Blue Orange Black Black Black Black Black Black\nBlack Black Brown Black Purple Black Red Black Black Purple Black Black Black Pink Yellow Black Pink Purple Gray Black\nBlack Black Black Black Blue Green Black Black Red Black Black Black Black Black Black Orange Black Gray Black Purple\nPink Black Black Red Yellow Black Green Black Green Brown Black Red Blue Blue Black Gray Brown Black Orange Brown\nBlack Purple Red Gray Pink Pink Black Gray Black Black Black Gray Black Green Black Red Gray Black Black Black\nBlack Blue Orange Black Black Black Black Blue Orange Yellow Blue Purple Black Black Red Black Black Yellow Green Yellow\nBlue Black Black Brown Green Black Black Purple Black Gray Gray Black Black Black Pink Orange Black Yellow Blue Green\nBlack Black Black Black Black Gray Yellow Yellow Pink Black Black Black Black Yellow Black Black Pink Black Brown Purple\nBlack Brown Gray Black Red Gray Black Yellow Black Black Black Red Purple Pink Brown Green Black Yellow Green Red\nBlack Black Blue Black Pink Green Black Green Black Pink Blue Black Gray Black Green Gray Blue Black Red Black\nBlack Black Black Brown Black Gray Orange Gray Black Blue Black Pink Black Black Black Black Gray Black Black Black\nBlue Blue Black Yellow Purple Purple Black Gray Black Black Brown Black Green Green Green Black Black Black Black Purple\nBlack Black Black Green Gray Yellow Orange Green Black Black Yellow Brown Green Green Black Gray Green Green Black Black\nBlack Pink Black Pink Black Black Gray Green Orange Black Black Black Black Yellow Purple Black Black Black Black Black\nPink Green Green Black Pink Gray Black Brown Purple Orange Black Black Purple Purple Pink Purple Purple Orange Black Black\nPink Blue Black Black Black Gray Blue Orange Pink Yellow Gray Black Black Black Black Black Red Purple Black Red\n\nOutput:\nBlack Black Gray Gray Black Gray Gray Black Gray Gray Gray Black Black Gray Gray Gray Black Gray Black Black\nGray Black Black Black Black Black Gray Gray Gray Gray Black Black Black Gray Black Black Black Black Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Gray Gray Black Black Gray Gray Black\nBlack Black Black Gray Black Gray Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Black Gray Black Gray Black Black Gray Black Black Black Gray Gray Black Gray Gray Gray Black\nBlack Black Black Black Gray Gray Black Black Gray Black Black Black Black Black Black Gray Black Gray Black Gray\nGray Black Black Gray Gray Black Gray Black Gray Gray Black Gray Gray Gray Black Gray Gray Black Gray Gray\nBlack Gray Gray Gray Gray Gray Black Gray Black Black Black Gray Black Gray Black Gray Gray Black Black Black\nBlack Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Black Black Gray Black Black Gray Gray Gray\nGray Black Black Gray Gray Black Black Gray Black Gray Gray Black Black Black Gray Gray Black Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Black Black Gray Black Gray Gray\nBlack Gray Gray Black Gray Gray Black Gray Black Black Black Gray Gray Gray Gray Gray Black Gray Gray Gray\nBlack Black Gray Black Gray Gray Black Gray Black Gray Gray Black Gray Black Gray Gray Gray Black Gray Black\nBlack Black Black Gray Black Gray Gray Gray Black Gray Black Gray Black Black Black Black Gray Black Black Black\nGray Gray Black Gray Gray Gray Black Gray Black Black Gray Black Gray Gray Gray Black Black Black Black Gray\nBlack Black Black Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Gray Black Gray Black Black Gray Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black\nGray Gray Gray Black Gray Gray Black Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Gray Gray Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Black Pink Black Yellow Purple Black Orange Black Black Gray Black Blue Black Black Black Gray Black\nPurple Black Yellow Black Blue Black Black Brown Red Black Purple Black Black Green Red Black Purple Black Purple Brown\nBlack Black Gray Gray Yellow Black Orange Yellow Brown Orange Black Black Red Black Black Black Black Orange Blue Yellow\nBlack Green Pink Gray Black Brown Purple Gray Blue Purple Pink Black Black Black Pink Black Black Pink Black Brown\nOrange Black Black Purple Black Yellow Black Black Black Black Black Orange Black Yellow Green Black Purple Pink Black Gray\nBlack Red Black Black Black Black Black Black Black Yellow Pink Orange Yellow Pink Pink Blue Orange Black Black Black\nBlack Orange Black Black Green Blue Black Blue Yellow Black Gray Black Black Green Black Yellow Gray Red Blue Black\nGray Blue Black Black Black Black Brown Pink Blue Black Black Black Gray Black Black Brown Black Black Pink Red\nGray Black Purple Blue Yellow Black Orange Black Yellow Black Purple Pink Black Brown Black Black Black Black Orange Black\nPink Black Green Black Green Black Yellow Yellow Yellow Orange Gray Black Red Purple Black Gray Pink Black Red Black\nGray Black Black Black Blue Black Black Pink Black Green Black Purple Black Red Gray Black Blue Yellow Black Black\nPurple Brown Pink Gray Gray Orange Yellow Blue Black Black Black Black Black Pink Pink Green Black Black Black Pink\nBlack Red Black Black Purple Purple Black Black Orange Brown Green Brown Black Blue Gray Black Red Gray Orange Gray\nGreen Purple Red Black Black Black Black Black Pink Green Brown Green Brown Pink Green Blue Gray Green Yellow Red\nBlack Purple Black Black Purple Purple Black Purple Yellow Pink Purple Black Black Red Purple Green Blue Black Gray Black\nBlack Black Pink Black Black Black Black Blue Gray Black Red Yellow Yellow Black Black Black Black Gray Purple Gray\nPink Black Black Blue Black Black Black Black Green Purple Red Black Gray Purple Yellow Purple Black Purple Black Black\nBlack Blue Purple Brown Gray Black Brown Black Black Black Purple Black Black Black Orange Pink Gray Blue Orange Black\nOrange Black Black Purple Black Green Purple Purple Black Black Black Blue Purple Black Pink Black Black Pink Brown Orange\nBlack Blue Green Black Gray Blue Green Pink Black Black Gray Blue Green Brown Yellow Black Red Green Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Purple Black Purple Black Purple Purple Black Purple Black Black Purple Black Purple Black Black Black Purple Black\nPurple Black Purple Black Purple Black Black Purple Purple Black Purple Black Black Purple Purple Black Purple Black Purple Purple\nBlack Black Purple Purple Purple Black Purple Purple Purple Purple Black Black Purple Black Black Black Black Purple Purple Purple\nBlack Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Black Black Black Purple Black Black Purple Black Purple\nPurple Black Black Purple Black Purple Black Black Black Black Black Purple Black Purple Purple Black Purple Purple Black Purple\nBlack Purple Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Purple Black Black Purple Purple Black Purple Purple Black Purple Black Black Purple Black Purple Purple Purple Purple Black\nPurple Purple Black Black Black Black Purple Purple Purple Black Black Black Purple Black Black Purple Black Black Purple Purple\nPurple Black Purple Purple Purple Black Purple Black Purple Black Purple Purple Black Purple Black Black Black Black Purple Black\nPurple Black Purple Black Purple Black Purple Purple Purple Purple Purple Black Purple Purple Black Purple Purple Black Purple Black\nPurple Black Black Black Purple Black Black Purple Black Purple Black Purple Black Purple Purple Black Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Black Black Black Purple\nBlack Purple Black Black Purple Purple Black Black Purple Purple Purple Purple Black Purple Purple Black Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Purple Black Black Purple Purple Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Purple Black\nBlack Black Purple Black Black Black Black Purple Purple Black Purple Purple Purple Black Black Black Black Purple Purple Purple\nPurple Black Black Purple Black Black Black Black Purple Purple Purple Black Purple Purple Purple Purple Black Purple Black Black\nBlack Purple Purple Purple Purple Black Purple Black Black Black Purple Black Black Black Purple Purple Purple Purple Purple Black\nPurple Black Black Purple Black Purple Purple Purple Black Black Black Purple Purple Black Purple Black Black Purple Purple Purple\nBlack Purple Purple Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Black Purple Purple Purple Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Gray Black Black Orange Black Black Black\nBlack Black Black Black Orange Orange Gray Gray Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Orange Black Black Black\nBlack Black Black Brown Orange Orange Black Black Black Black Orange Black Black\nBlack Black Brown Brown Brown Pink Pink Black Black Orange Orange Orange Black\nBlack Brown Brown Brown Brown Brown Pink Pink Orange Orange Orange Orange Orange\nBlack Black Brown Brown Brown Pink Pink Black Black Orange Orange Orange Black\nBlack Black Black Brown Black Pink Black Black Black Black Yellow Black Black\nBlack Black Black Black Pink Pink Pink Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Pink Black Black Black Black Yellow Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Gray Black Black Orange Black Black Black\nBlue Blue Blue Blue Orange Orange Gray Gray Orange Orange Orange Black Black\nBlue Blue Blue Orange Orange Orange Orange Black Black Orange Black Black Black\nBlue Blue Blue Brown Orange Orange Black Black Black Black Orange Black Black\nBlue Blue Brown Brown Brown Pink Pink Black Black Orange Orange Orange Black\nBlue Brown Brown Brown Brown Brown Pink Pink Orange Orange Orange Orange Orange\nBlue Blue Brown Brown Brown Pink Pink Blue Blue Orange Orange Orange Blue\nBlue Blue Blue Brown Black Pink Blue Blue Blue Blue Yellow Blue Blue\nBlue Blue Blue Blue Pink Pink Pink Blue Blue Yellow Yellow Yellow Blue\nBlue Blue Blue Blue Blue Pink Blue Blue Blue Blue Yellow Blue Blue\nBlue Blue Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Brown Blue Blue Blue Blue Blue Blue Orange Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Blue Blue Blue\nBlue 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\n\n\nExample 2\nInput:\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Yellow Black Black\nBlack Brown Brown Brown Purple Blue Black Yellow Yellow Yellow Yellow Black\nBrown Brown Brown Purple Purple Purple Yellow Yellow Yellow Yellow Black Black\nBlack Brown Purple Purple Purple Purple Purple Yellow Black Black Black Black\nBlack Black Brown Purple Purple Purple Blue Black Black Black Black Black\nBlack Red Orange Black Purple Blue Black Black Black Black Black Black\nRed Orange Orange Orange Black Orange Black Black Black Black Black Black\nBlack Red Orange Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Pink Black Black Black\nBlack Black Black Black Green Orange Green Pink Pink Pink Black Black\nBlack Black Black Green Green Green Green Green Pink Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\n\nOutput:\nBlack Black Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Brown Brown Brown Blue Blue Blue Blue Blue Yellow Blue Blue\nBlack Brown Brown Brown Purple Blue Blue Yellow Yellow Yellow Yellow Blue\nBrown Brown Brown Purple Purple Purple Yellow Yellow Yellow Yellow Blue Blue\nBlack Brown Purple Purple Purple Purple Purple Yellow Blue Blue Blue Blue\nBlack Black Brown Purple Purple Purple Blue Blue Blue Blue Blue Blue\nBlack Red Orange Black Purple Blue Blue Blue Blue Blue Blue Blue\nRed Orange Orange Orange Black Orange Blue Blue Blue Blue Blue Blue\nBlack Red Orange Black Orange Orange Orange Blue Blue Blue Blue Blue\nBlack Black Black Orange Orange Orange Orange Orange Blue Blue Blue Blue\nBlack Black Black Black Orange Orange Orange Black Pink Blue Blue Blue\nBlack Black Black Black Green Orange Green Pink Pink Pink Blue Blue\nBlack Black Black Green Green Green Green Green Pink Blue Blue Blue\nBlack Black Black Black Green Green Green Blue Blue Blue Blue Blue\nBlack Black Black Black Black Green Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Red Green Black Black Pink Black Black\nBlack Black Black Green Red Green Green Green Pink Pink Pink Black\nBlack Black Green Green Green Red Green Pink Pink Pink Pink Pink\nBlack Black Black Green Red Pink Red Purple Pink Pink Pink Black\nBlack Black Black Black Pink Pink Purple Purple Purple Pink Black Black\nBlack Black Black Pink Pink Purple Purple Purple Purple Purple Black Black\nBlack Black Green Green Pink Pink Purple Purple Purple Black Black Black\nBlack Brown Brown Green Black Pink Black Purple Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Red Green Black Black Pink Black Black\nBlack Black Black Green Red Green Green Green Pink Pink Pink Black\nBlack Black Green Green Green Red Green Pink Pink Pink Pink Pink\nBlack Black Black Green Red Pink Red Purple Pink Pink Pink Blue\nBlack Black Black Black Pink Pink Purple Purple Purple Pink Blue Blue\nBlack Black Black Pink Pink Purple Purple Purple Purple Purple Blue Blue\nBlack Black Green Green Pink Pink Purple Purple Purple Blue Blue Blue\nBlack Brown Brown Green Black Pink Blue Purple Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue\nBlue Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Brown 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Purple Black Gray Black Black\nBlack Black Black Black Pink Brown Black Black Purple Purple Purple Gray Gray Black\nBlack Black Black Black Brown Brown Brown Black Black Purple Gray Gray Gray Gray\nBlack Black Black Brown Brown Brown Brown Brown Black Black Gray Gray Gray Black\nBlack Black Black Black Brown Brown Brown Blue Black Black Black Gray Black Black\nBlack Black Black Black Orange Brown Blue Blue Blue Black Black Black Black Black\nBlack Black Black Gray Gray Orange Orange Blue Pink Pink Black Black Black Black\nBlack Black Black Black Gray Blue Orange Black Pink Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black 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```\nBlue Blue Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Purple Blue Gray Blue Blue\nBlue Blue Blue Blue Pink Brown Blue Blue Purple Purple Purple Gray Gray Blue\nBlue Blue Blue Blue Brown Brown Brown Blue Blue Purple Gray Gray Gray Gray\nBlue Blue Blue Brown Brown Brown Brown Brown Blue Blue Gray Gray Gray Blue\nBlue Blue Blue Blue Brown Brown Brown Blue Blue Blue Blue Gray Blue Blue\nBlue Blue Blue Blue Orange Brown Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Gray Gray Orange Orange Blue Pink Pink Blue Blue Blue Blue\nBlue Blue Blue Blue Gray Blue Orange Blue Pink 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 Black Gray Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue\nBlue 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\nBlack Green Black Pink Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Purple\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 Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\nBlack Green Black Pink Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black\nBlack Black Red Red Blue Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Purple\n\n\nExample 2\nInput:\nBlack Black Brown Black Black Black Black Black Gray Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black\nBlack Black Red 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 Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Brown Black Black Black Black Black Gray Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Red Red Red Gray Black Black Black Black\nPink Black Red 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 Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Red Red Black Blue 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 Brown Black Black Black Black\nBlack Black Black Black Purple Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Red Red Black Blue Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Blue Black Brown Black Black Black Black\nBlack Black Black Black Purple Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Brown 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 Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Gray Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Red Brown Black\nBlack Black Black Black Black Black Red Red 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 Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Gray Black\nBlack Black Black Black Black Black Red Brown Black Black\nBlack Black Black Black Black Black Red Red Brown Black\nOrange Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Brown Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Black Black Black\nPurple Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Green Black Black Black\nBlack Black Green Green Green Black Black\nBlack Green Green Green Green Green Black\nBlack Black Green Green Green Black Black\nBlack Black Black Green Black Black Black\nPink Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Black Pink 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 Green Black Black Black\nBlack Black Green Green Green Black Black\nBlack Green Green Green Green Green Black\nBlack Black Green Green Green Black Black\nBlack Black Black Green Black Black Black\nOrange Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Black Black\nBlack Black Black Orange 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\nBlack Black Black Pink Black Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Black Pink Black Black Black\nGray Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBrown Black Brown Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Gray\nBrown Brown Brown Black Black Black Black Gray\nBlack Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black\nBlack Black Black Green Green Black Black Black\nBlack Black Black Black Green Black Black Black\nBlack Green Green Green Green Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBrown Black Brown Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Gray\nBrown Brown Brown Black Black Black Black Gray\nBlack Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black\nBlack Black Black Gray Gray Black Black Black\nBlack Black Black Black Gray Black Black Black\nBlack Gray Gray Gray Gray Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black\nGreen Green Black Black Black Black Purple Black Black Black\nGreen Green Black Yellow Yellow Black Black Black Black Black\nGreen Green Black Yellow Yellow Black Black Orange Orange Black\nGreen Green Black Yellow Yellow Black Black Orange Black Black\n\nOutput:\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nGreen Green Black Black Black Black Orange Black Black Black\nGreen Green Black Yellow Yellow Black Black Black Black Black\nGreen Green Black Yellow Yellow Black Black Orange Orange Black\nGreen Green Black Yellow Yellow Black Black Orange Black Black\n\n\nExample 3\nInput:\nBlack Yellow Black Black Black Gray Black Black Black\nYellow Yellow Yellow Black Black Gray Black Black Black\nBlack Yellow Black Black Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Black Black\nBlack Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Black Black Yellow Black Black Black\nYellow Yellow Yellow Black Black Yellow Black Black Black\nBlack Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\nBlack Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Blue Black Black Black Gray Gray\nBlack Black Blue Blue Black Black Black Gray Gray\nBlack Black Blue Blue 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 Pink Pink Pink Black Red Black\nBlack Black Black Pink Black Pink Black Red Red\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Black Pink Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Blue Black Black Black Gray Gray\nBlack Black Blue Blue Black Black Black Gray Gray\nBlack Black Blue Blue 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 Gray Gray Gray Black Red Black\nBlack Black Black Gray Black Gray Black Red Red\nBlack Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Black Gray Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Brown Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black\nOrange Black Black Black Black Pink Black Black\nBlack Black Orange Black Black Black Purple Black\nBlack Brown Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Green\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Pink\nBlack Black Black Black Black Black Orange Purple\nBlack Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Orange\n\n\nExample 2\nInput:\nBrown Orange Black Red Brown Black Black\nBlack Blue Pink Black Black Black Blue\nBlack Blue Black Black Black Yellow Black\nGray Black Black Purple Black Pink Green\nBlack Black Black Blue Black Orange Gray\nBlack Black Black Black Green Black Black\nBlack Orange Black Black Yellow Black Black\n\nOutput:\nBlack Black Black Brown Orange Red Brown\nBlack Black Black Black Blue Pink Blue\nBlack Black Black Black Black Blue Yellow\nBlack Black Black Gray Purple Pink Green\nBlack Black Black Black Blue Orange Gray\nBlack Black Black Black Black Black Green\nBlack Black Black Black Black Orange Yellow\n\n\nExample 3\nInput:\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Red Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Pink Black Black Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Pink Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Yellow Gray Black Gray Gray Yellow Black\nOrange Purple Black Brown Black Gray Black Black Black\nBlack Black Red Red Black Black Brown Black Black\nBlack Black Brown Black Gray Black Black Black Pink\nBlack Black Black Black Black Black Pink Purple Black\nBlack Black Black Pink Purple Black Black Black Black\nBlack Purple Black Orange Black Black Black Pink Gray\nYellow Black Green Black Black Black Pink Black Black\nOrange Black Brown Black Orange Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Yellow Gray Gray Gray Yellow\nBlack Black Black Black Black Orange Purple Brown Gray\nBlack Black Black Black Black Black Red Red Brown\nBlack Black Black Black Black Black Brown Gray Pink\nBlack Black Black Black Black Black Black Pink Purple\nBlack Black Black Black Black Black Black Pink Purple\nBlack Black Black Black Black Purple Orange Pink Gray\nBlack Black Black Black Black Black Yellow Green Pink\nBlack Black Black Black Black Orange Brown Orange Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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\nBlue Blue Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlue Blue Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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\nBlue Blue Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlue Blue Orange Orange Orange Orange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow 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 Black Black Black Black 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 Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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 Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Black Black\nBlack Black Black 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 Yellow Yellow Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Blue Blue\nBlack Black Black 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 Black Black 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\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 Orange Orange Black Black\nBlack Black 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 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 Black Black Orange Orange Black Black\nBlack Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Green Green Black Green Green Black Black\nBlack Green Green Black Green Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow\n\n\nExample 2\nInput:\nGreen Green Black Black Green Green Black\nGreen Green Black Black Green Green Black\nBlack Green Green Black Black Black Black\nBlack Green Green Black Black Black Black\nBlack Green Green Black Black Black Black\nBlack Green Green Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nYellow\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 Green Green Black Black Black Black\nBlack Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black\nBlack Black Black Green Green Black Green Green Black\nGreen Green Black Green Green Black Black Green Green\nGreen Green Black Black Black Black Black Green Green\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```\nYellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Green Green Green Green Green Green\nBlack Green Brown Black Brown Brown Green\nBlack Green Brown Brown Brown Brown Green\nBlack Green Brown Brown Brown Brown Green\nBlack Green Brown Black Brown Brown Green\nBlack Green Green Green Green Green Green\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nGreen Green Green Green Green\nGreen Brown Black Brown Brown\nGreen Brown Brown Brown Brown\nGreen Brown Brown Brown Brown\nGreen Brown Black Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Black Green Black Black Green Black Blue Black Black Black\nBlue Black Green Green Green Green Black Blue Black Black Black\nBlue Green Green Green Green Green Green Blue Black Black Black\nBlue Green Green Green Green Green Green Blue Black Black Black\nBlue Black Green Green Green Green Black Blue Black Black Black\nBlue Black Green Green Green Green Black Blue Black Black Black\nBlue Black Black Green Green Black Black Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black\nBlack Green Black Black Green Black Blue Black Black\nBlack Green Green Green Green Black Blue Black Black\nGreen Green Green Green Green Green Blue Black Black\nGreen Green Green Green Green Green Blue Black Black\nBlack Green Green Green Green Black Blue Black Black\nBlack Green Green Green Green Black Blue Black Black\nBlack Black Green Green Black Black Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Black\nPink Purple Purple Purple Purple Pink Black\nPink Purple Purple Purple Purple Pink Black\nPink Purple Purple Purple Purple Pink Black\nPink Purple Black Black Purple Pink Black\nPink Purple Black Black Purple Pink Black\nPink Purple Black Black Purple Pink Black\nPink Purple Black Black Purple Pink Black\nPink Purple Purple Purple Purple Pink Black\nPink Purple Purple Purple Purple Pink Black\nPink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Pink\nPurple Purple Purple Purple Pink\nPurple Purple Purple Purple Pink\nPurple Black Black Purple Pink\nPurple Black Black Purple Pink\nPurple Black Black Purple Pink\nPurple Black Black Purple Pink\nPurple Purple Purple Purple Pink\nPurple Purple Purple Purple Pink\nPink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Blue Blue Black Blue Blue Black Black Black Black Pink\nBlack Pink Blue Black Black Blue Blue Blue Black Black Black Pink\nBlack Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink\nBlack Pink Black Black Black Blue Blue Black Blue Blue Blue Pink\nBlack Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink\nBlack Pink Blue Black Black Blue Blue Blue Black Black Black Pink\nBlack Pink Blue Blue Black Blue Blue Black Black Black Black Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\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 Blue Blue Black Blue Blue Black Black Black Black\nPink Blue Black Black Blue Blue Blue Black Black Black\nPink Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Black Black Black Blue Blue Black Blue Blue Blue\nPink Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Blue Black Black Blue Blue Blue Black Black Black\nPink Blue Blue Black Blue Blue Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Green Black Black Black Black Black Blue\nBlack Green Green Black Yellow Red Red Black\nBlue Blue Green Blue Yellow Blue Blue Black\nBlack Black Green Blue Black Blue Blue Red\nBlack Black Black Yellow Black Black Black Black\nBlue Green Green Yellow Blue Black Green Green\nBlue Green Green Blue Blue Green Black Black\nGreen Yellow Yellow Black Blue Blue Red Blue\nGreen Yellow Yellow Black Black Yellow Yellow Blue\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Black Black Black Black Black Blue\nBlack Green Green Black Yellow Red Red Black\nBlue Blue Green Blue Yellow Blue Blue Black\nBlack Black Green Blue Black Blue Blue Red\nBlack Black Black Yellow Black Black Black Black\nBlue Green Green Red Blue Black Green Green\nBlue Green Green Blue Blue Green Black Black\nGreen Yellow Yellow Black Blue Blue Red Blue\nGreen Yellow Yellow Black Black Yellow Yellow Blue\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Yellow Blue Blue Black Black Black Green Red Black\nBlack Red Black Red Red Black Red Green Blue Blue\nBlack Red Black Red Red Black Red Yellow Yellow Black\nBlack Red Red Yellow Yellow Black Black Yellow Yellow Black\nBlack Red Red Black Blue Black Blue Black Yellow Yellow\nBlack Black Green Green Blue Red Blue Black Yellow Yellow\nBlack Blue Black Red Red Yellow Yellow Black Black Yellow\n\nOutput:\nBlack Yellow Blue Blue Black Black Black Green Red Black\nBlack Red Black Red Red Black Red Green Blue Blue\nBlack Red Black Red Red Black Red Yellow Yellow Black\nBlack Red Red Yellow Yellow Black Black Yellow Yellow Black\nBlack Red Red Black Blue Black Blue Black Green Green\nBlack Black Green Green Blue Red Blue Black Green Green\nBlack Blue Black Red Red Yellow Yellow Black Black Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Yellow Black Red Red\nBlack Green Green Black Blue Yellow Green Red Red\nYellow Red Black Black Green Green Green Yellow Blue\nYellow Red Black Green Green Green Black Black Black\nBlue Blue Red Green Green Yellow Yellow Red Red\nBlack Black Red Black Green Black Blue Red Red\nBlack Black Black Red Red Black Black Black Black\nGreen Green Red Red Green Green Red Green Green\nBlack Green Black Black Green Green Red Green Green\n\nOutput:\nBlack Black Black Black Black Yellow Black Red Red\nBlack Green Green Black Blue Yellow Green Red Red\nYellow Red Yellow Black Green Green Green Yellow Blue\nYellow Red Black Green Green Green Black Black Black\nBlue Blue Red Green Green Yellow Yellow Red Red\nBlack Black Red Black Green Black Blue Red Red\nBlack Black Black Red Red Black Black Black Black\nGreen Green Red Red Green Green Red Yellow Yellow\nBlack Green Black Black Green Green Red Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Red Black Green Green Black Red Red\nBlack Black Green Green Black Green Green Black Black Red\nBlue Blue Green Green Black Black Black Yellow Yellow Black\nBlue Blue Yellow Red Red Black Blue Yellow Yellow Black\nGreen Red Black Green Green Black Black Black Black Blue\nGreen Yellow Black Yellow Yellow Black Yellow Yellow Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Red Black Green Green Black Red Red\nBlack Black Green Green Black Green Green Black Black Red\nBlue Blue Green Green Black Black Black Yellow Yellow Black\nBlue Blue Yellow Red Red Black Blue Yellow Yellow Black\nGreen Red Black Green Green Black Black Black Black Blue\nGreen Yellow Black Yellow Yellow Black Yellow Yellow 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 Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black\nYellow Yellow Black Purple Purple Black Black Black Black Black\nYellow Yellow Black Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Blue Blue 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack 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 Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nOrange Orange Black Black Black Black Black Yellow Yellow Black\nOrange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Black Black Black Black Black\nGray Gray Black Pink Pink Gray Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nYellow Blue Blue Black Gray Blue Black Gray\nBlack Green Green Yellow Black Green Gray Gray\nBlack Black Orange Black Yellow Blue Black Black\nBlue Black Blue Yellow Orange Yellow Black Yellow\nGreen Green Black Green Black Black Purple Blue\nOrange Black Gray Black Gray Black Purple Black\nBlack Green Gray Blue Black Black Black Blue\nBlack Black Black Yellow Purple Black Black Black\n\nOutput:\nBlack Black Black Yellow Purple Black Black Black\nBlack Green Gray Blue Black Black Black Blue\nOrange Black Gray Black Gray Black Purple Black\nGreen Green Black Green Black Black Purple Blue\nBlue Black Blue Yellow Orange Yellow Black Yellow\nBlack Black Orange Black Yellow Blue Black Black\nBlack Green Green Yellow Black Green Gray Gray\nYellow Blue Blue Black Gray Blue Black Gray\n\n\nExample 2\nInput:\nBlack Black Black Purple Gray Pink Pink\nPink Black Black Brown Black Gray Brown\nPink Gray Black Brown Black Pink Brown\nBlack Purple Gray Black Pink Brown Pink\nBrown Gray Brown Pink Black Black Black\nPink Black Gray Black Brown Black Gray\nBlack Brown Black Black Black Black Brown\n\nOutput:\nBlack Brown Black Black Black Black Brown\nPink Black Gray Black Brown Black Gray\nBrown Gray Brown Pink Black Black Black\nBlack Purple Gray Black Pink Brown Pink\nPink Gray Black Brown Black Pink Brown\nPink Black Black Brown Black Gray Brown\nBlack Black Black Purple Gray Pink Pink\n\n\nExample 3\nInput:\nBlack Black Green Black Pink Black Green\nPurple Black Pink Black Black Gray Blue\nBlack Gray Orange Purple Green Black Green\nPurple Black Red Black Pink Green Pink\nPurple Black Black Red Brown Pink Black\nBrown Black Yellow Black Black Black Gray\nBlack Red Black Yellow Black Red Black\nGray Purple Orange Gray Purple Gray Red\nRed Red Orange Purple Green Black Black\n\nOutput:\nGreen Black Pink Black Green Black Black\nBlue Gray Black Black Pink Black Purple\nGreen Black Green Purple Orange Gray Black\nPink Green Pink Black Red Black Purple\nBlack Pink Brown Red Black Black Purple\nGray Black Black Black Yellow Black Brown\nBlack Red Black Yellow Black Red Black\nRed Gray Purple Gray Orange Purple Gray\nBlack Black Green Purple Orange Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Purple Black Purple Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Yellow Blue\nBlack Red Black Black Blue Black Blue Black Purple\nBlack Yellow Purple Black Black Black Black Black Yellow\nOrange Black Orange Brown Black Blue Black Black Purple\nBlack Orange Black Black Brown Black Black Orange Black\nBrown Black Black Black Black Yellow Black Brown Black\nBrown Black Black Black Yellow Blue Black Black Black\nBlue Black Black Black Yellow Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Black Black Yellow Black Black Black Black\nBrown Black Black Black Yellow Blue Black Black Black\nBrown Black Black Black Black Yellow Black Brown Black\nBlack Orange Black Black Brown Black Black Orange Black\nOrange Black Orange Brown Black Blue Black Black Purple\nBlack Yellow Purple Black Black Black Black Black Yellow\nBlack Red Black Black Blue Black Blue Black Purple\nBlack Orange Orange Black Black Black Black Yellow Blue\nBlack Purple Black Purple Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Orange Orange Blue Blue Blue Blue Purple Purple Yellow Yellow Blue Blue Blue Blue Pink Pink Gray Gray Brown Brown Blue Blue\nPurple Purple Orange Orange Blue Blue Blue Blue Purple Purple Yellow Yellow Blue Blue Blue Blue Pink Pink Gray Gray Brown Brown Blue Blue\nBrown Brown Orange Orange Red Red Pink Pink Orange Orange Purple Purple Purple Purple Red Red Brown Brown Red Red Brown Brown Red Red\nBrown Brown Orange Orange Red Red Pink Pink Orange Orange Purple Purple Purple Purple Red Red Brown Brown Red Red Brown Brown Red Red\nOrange Orange Pink Pink Gray Gray Red Red Yellow Yellow Blue Blue Purple Purple Brown Brown Purple Purple Green Green Blue Blue Pink Pink\nOrange Orange Pink Pink Gray Gray Red Red Yellow Yellow Blue Blue Purple Purple Brown Brown Purple Purple Green Green Blue Blue Pink Pink\nYellow Yellow Gray Gray Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Brown Brown Gray Gray Purple Purple Pink Pink Pink Pink\nYellow Yellow Gray Gray Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Brown Brown Gray Gray Purple Purple Pink Pink Pink Pink\nGray Gray Purple Purple Purple Purple Green Green Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown Gray Gray Yellow Yellow\nGray Gray Purple Purple Purple Purple Green Green Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown Gray Gray Yellow Yellow\nRed Red Purple Purple Purple Purple Green Green Purple Purple Blue Blue Orange Orange Green Green Orange Orange Orange Orange Red Red Purple Purple\nRed Red Purple Purple Purple Purple Green Green Purple Purple Blue Blue Orange Orange Green Green Orange Orange Orange Orange Red Red Purple Purple\nRed Red Red Red Purple Purple Gray Gray Pink Pink Blue Blue Orange Orange Gray Gray Orange Orange Brown Brown Orange Orange Orange Orange\nRed Red Red Red Purple Purple Gray Gray Pink Pink Blue Blue Orange Orange Gray Gray Orange Orange Brown Brown Orange Orange Orange Orange\nGreen Green Green Green Brown Brown Orange Orange Pink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange\nGreen Green Green Green Brown Brown Orange Orange Pink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange\n\nOutput:\nPurple Purple Orange Orange Blue Blue Blue Blue Purple Purple Yellow Yellow Blue Blue Blue Blue Pink Pink Gray Gray Brown Brown Blue Blue\nPurple Purple Orange Orange Blue Blue Blue Blue Purple Purple Yellow Yellow Blue Blue Blue Blue Pink Pink Gray Gray Brown Brown Blue Blue\nBrown Brown Orange Orange Red Red Pink Pink Orange Orange Purple Purple Purple Purple Red Red Brown Brown Red Red Brown Brown Red Red\nBrown Brown Orange Orange Red Red Pink Pink Orange Orange Purple Purple Purple Purple Red Red Brown Brown Red Red Brown Brown Red Red\nOrange Orange Pink Pink Gray Gray Red Red Yellow Yellow Blue Blue Purple Purple Brown Brown Purple Purple Green Green Blue Blue Pink Pink\nOrange Orange Pink Pink Gray Gray Red Red Yellow Yellow Blue Blue Purple Purple Brown Brown Purple Purple Green Green Blue Blue Pink Pink\nYellow Yellow Gray Gray Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Brown Brown Gray Gray Purple Purple Pink Pink Pink Pink\nYellow Yellow Gray Gray Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Brown Brown Gray Gray Purple Purple Pink Pink Pink Pink\nGray Gray Black Black Black Black Green Green Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown Gray Gray Yellow Yellow\nGray Gray Black Black Black Black Green Green Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown Gray Gray Yellow Yellow\nRed Red Black Black Purple Purple Green Green Purple Purple Blue Blue Orange Orange Green Green Orange Orange Orange Orange Red Red Purple Purple\nRed Red Black Black Purple Purple Green Green Purple Purple Blue Blue Orange Orange Green Green Orange Orange Orange Orange Red Red Purple Purple\nRed Red Red Red Purple Purple Gray Gray Pink Pink Blue Blue Orange Orange Gray Gray Orange Orange Brown Brown Orange Orange Orange Orange\nRed Red Red Red Purple Purple Gray Gray Pink Pink Blue Blue Orange Orange Gray Gray Orange Orange Brown Brown Orange Orange Orange Orange\nGreen Green Green Green Brown Brown Orange Orange Pink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange\nGreen Green Green Green Brown Brown Orange Orange Pink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange\n\n\nExample 2\nInput:\nYellow Yellow Red Red Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink\nYellow Yellow Red Red Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink\nOrange Orange Gray Gray Gray Gray Brown Brown Yellow Yellow Orange Orange Pink Pink Red Red Orange Orange Pink Pink\nOrange Orange Gray Gray Gray Gray Brown Brown Yellow Yellow Orange Orange Pink Pink Red Red Orange Orange Pink Pink\nPurple Purple Gray Gray Gray Gray Pink Pink Gray Gray Purple Purple Red Red Purple Purple Blue Blue Pink Pink\nPurple Purple Gray Gray Gray Gray Pink Pink Gray Gray Purple Purple Red Red Purple Purple Blue Blue Pink Pink\nRed Red Green Green Blue Blue Orange Orange Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange\nRed Red Green Green Blue Blue Orange Orange Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange\nYellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown Orange Orange Purple Purple Purple Purple Pink Pink\nYellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown Orange Orange Purple Purple Purple Purple Pink Pink\nBrown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue Brown Brown\nBrown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nOrange Orange Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\n\nOutput:\nYellow Yellow Red Red Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink\nYellow Yellow Red Red Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink\nOrange Orange Black Black Black Black Brown Brown Yellow Yellow Orange Orange Pink Pink Red Red Orange Orange Pink Pink\nOrange Orange Black Black Black Black Brown Brown Yellow Yellow Orange Orange Pink Pink Red Red Orange Orange Pink Pink\nPurple Purple Black Black Gray Gray Pink Pink Gray Gray Purple Purple Red Red Purple Purple Blue Blue Pink Pink\nPurple Purple Black Black Gray Gray Pink Pink Gray Gray Purple Purple Red Red Purple Purple Blue Blue Pink Pink\nRed Red Green Green Blue Blue Orange Orange Pink Pink Purple Purple Purple Purple Black Black Black Black Orange Orange\nRed Red Green Green Blue Blue Orange Orange Pink Pink Purple Purple Purple Purple Black Black Black Black Orange Orange\nYellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown Orange Orange Black Black Purple Purple Pink Pink\nYellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown Orange Orange Black Black Purple Purple Pink Pink\nBrown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue Brown Brown\nBrown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue Brown Brown\nOrange Orange Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nOrange Orange Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\n\n\nExample 3\nInput:\nPurple Purple Pink Pink Pink Pink Yellow Yellow Brown Brown Pink Pink Gray Gray Blue Blue Green Green Blue Blue Gray Gray\nPurple Purple Pink Pink Pink Pink Yellow Yellow Brown Brown Pink Pink Gray Gray Blue Blue Green Green Blue Blue Gray Gray\nGreen Green Orange Orange Blue Blue Purple Purple Pink Pink Brown Brown Brown Brown Yellow Yellow Orange Orange Blue Blue Yellow Yellow\nGreen Green Orange Orange Blue Blue Purple Purple Pink Pink Brown Brown Brown Brown Yellow Yellow Orange Orange Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Green Green Yellow Yellow Green Green Blue Blue Green Green Brown Brown Red Red Purple Purple Orange Orange\nYellow Yellow Blue Blue Green Green Yellow Yellow Green Green Blue Blue Green Green Brown Brown Red Red Purple Purple Orange Orange\nPurple Purple Blue Blue Blue Blue Gray Gray Green Green Gray Gray Blue Blue Pink Pink Pink Pink Pink Pink Brown Brown\nPurple Purple Blue Blue Blue Blue Gray Gray Green Green Gray Gray Blue Blue Pink Pink Pink Pink Pink Pink Brown Brown\nPurple Purple Pink Pink Gray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow Red Red Pink Pink Pink Pink Green Green\nPurple Purple Pink Pink Gray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow Red Red Pink Pink Pink Pink Green Green\nBrown Brown Blue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Green Green Green Green Pink Pink Gray Gray\nBrown Brown Blue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Green Green Green Green Pink Pink Gray Gray\nOrange Orange Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Green Green Green Green Brown Brown Gray Gray\nOrange Orange Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Green Green Green Green Brown Brown Gray Gray\n\nOutput:\nPurple Purple Pink Pink Pink Pink Yellow Yellow Brown Brown Pink Pink Gray Gray Blue Blue Green Green Blue Blue Gray Gray\nPurple Purple Pink Pink Pink Pink Yellow Yellow Brown Brown Pink Pink Gray Gray Blue Blue Green Green Blue Blue Gray Gray\nGreen Green Orange Orange Blue Blue Purple Purple Pink Pink Brown Brown Brown Brown Yellow Yellow Orange Orange Blue Blue Yellow Yellow\nGreen Green Orange Orange Blue Blue Purple Purple Pink Pink Brown Brown Brown Brown Yellow Yellow Orange Orange Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Green Green Yellow Yellow Green Green Blue Blue Green Green Brown Brown Red Red Purple Purple Orange Orange\nYellow Yellow Blue Blue Green Green Yellow Yellow Green Green Blue Blue Green Green Brown Brown Red Red Purple Purple Orange Orange\nPurple Purple Blue Blue Blue Blue Gray Gray Green Green Gray Gray Blue Blue Pink Pink Black Black Black Black Brown Brown\nPurple Purple Blue Blue Blue Blue Gray Gray Green Green Gray Gray Blue Blue Pink Pink Black Black Black Black Brown Brown\nPurple Purple Pink Pink Gray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow Red Red Black Black Pink Pink Green Green\nPurple Purple Pink Pink Gray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow Red Red Black Black Pink Pink Green Green\nBrown Brown Blue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Black Black Black Black Pink Pink Gray Gray\nBrown Brown Blue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Black Black Black Black Pink Pink Gray Gray\nOrange Orange Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Black Black Green Green Brown Brown Gray Gray\nOrange Orange Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Black Black Green Green Brown Brown Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Red Red Pink Pink Green Green Purple Purple Green Green Orange Orange Purple Purple Gray Gray\nYellow Yellow Red Red Pink Pink Green Green Purple Purple Green Green Orange Orange Purple Purple Gray Gray\nBlue Blue Orange Orange Yellow Yellow Red Red Blue Blue Purple Purple Red Red Gray Gray Gray Gray\nBlue Blue Orange Orange Yellow Yellow Red Red Blue Blue Purple Purple Red Red Gray Gray Gray Gray\nYellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Brown Brown Orange Orange Brown Brown Purple Purple\nYellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Brown Brown Orange Orange Brown Brown Purple Purple\nPurple Purple Red Red Green Green Blue Blue Yellow Yellow Purple Purple Purple Purple Orange Orange Brown Brown\nPurple Purple Red Red Green Green Blue Blue Yellow Yellow Purple Purple Purple Purple Orange Orange Brown Brown\nGreen Green Green Green Pink Pink Red Red Orange Orange Gray Gray Green Green Purple Purple Yellow Yellow\nGreen Green Green Green Pink Pink Red Red Orange Orange Gray Gray Green Green Purple Purple Yellow Yellow\nOrange Orange Orange Orange Orange Orange Purple Purple Red Red Brown Brown Pink Pink Red Red Blue Blue\nOrange Orange Orange Orange Orange Orange Purple Purple Red Red Brown Brown Pink Pink Red Red Blue Blue\nGray Gray Orange Orange Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown Purple Purple Pink Pink\nGray Gray Orange Orange Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown Purple Purple Pink Pink\nPink Pink Pink Pink Orange Orange Gray Gray Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray\nPink Pink Pink Pink Orange Orange Gray Gray Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray\nPink Pink Blue Blue Brown Brown Gray Gray Gray Gray Pink Pink Green Green Gray Gray Pink Pink\nPink Pink Blue Blue Brown Brown Gray Gray Gray Gray Pink Pink Green Green Gray Gray 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```\nYellow Yellow Red Red Pink Pink Green Green Purple Purple Green Green Orange Orange Purple Purple Gray Gray\nYellow Yellow Red Red Pink Pink Green Green Purple Purple Green Green Orange Orange Purple Purple Gray Gray\nBlue Blue Orange Orange Yellow Yellow Red Red Blue Blue Purple Purple Red Red Gray Gray Gray Gray\nBlue Blue Orange Orange Yellow Yellow Red Red Blue Blue Purple Purple Red Red Gray Gray Gray Gray\nYellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Brown Brown Orange Orange Brown Brown Purple Purple\nYellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Brown Brown Orange Orange Brown Brown Purple Purple\nPurple Purple Red Red Green Green Blue Blue Yellow Yellow Purple Purple Purple Purple Orange Orange Brown Brown\nPurple Purple Red Red Green Green Blue Blue Yellow Yellow Purple Purple Purple Purple Orange Orange Brown Brown\nGreen Green Green Green Pink Pink Red Red Orange Orange Gray Gray Green Green Purple Purple Yellow Yellow\nGreen Green Green Green Pink Pink Red Red Orange Orange Gray Gray Green Green Purple Purple Yellow Yellow\nOrange Orange Black Black Black Black Purple Purple Red Red Brown Brown Pink Pink Red Red Blue Blue\nOrange Orange Black Black Black Black Purple Purple Red Red Brown Brown Pink Pink Red Red Blue Blue\nGray Gray Black Black Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown Purple Purple Pink Pink\nGray Gray Black Black Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown Purple Purple Pink Pink\nPink Pink Pink Pink Orange Orange Black Black Black Black Pink Pink Gray Gray Pink Pink Gray Gray\nPink Pink Pink Pink Orange Orange Black Black Black Black Pink Pink Gray Gray Pink Pink Gray Gray\nPink Pink Blue Blue Brown Brown Black Black Gray Gray Pink Pink Green Green Gray Gray Pink Pink\nPink Pink Blue Blue Brown Brown Black Black Gray Gray Pink Pink Green Green Gray Gray Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Black Blue Black Black Black Blue Red\nBlack Blue Black Blue Black Blue Red Black\nBlue Black Blue Black Blue Red Black Black\nBlack Black Black Blue Black Blue Black Black\nBlack Green Blue Black Green Black Blue Black\nBlack Black Black Black Black Green Black Green\nBlack Black Black Black Black Black Green Black\nBlack Black Black Black Black Green Black Green\nBlack Black Black Black Green Black Black Black\nGreen Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Green Black Black Black Green Yellow\nBlack Green Black Green Black Green Yellow Black\nGreen Black Green Black Green Yellow Black Black\nBlack Black Black Green Black Green Black Black\nBlack Blue Green Black Blue Black Green Black\nBlack Black Black Black Black Blue Black Blue\nBlack Black Black Black Black Black Blue Black\nBlack Black Black Black Black Blue Black Blue\nBlack Black Black Black Blue Black Black Black\nBlue 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:\nBlue Black Blue Yellow Black Yellow Black\nBlack Blue Black Black Yellow Black Black\nRed Black Blue Yellow Black Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nRed Black Red Black Black Black Black\nBlack Red Black Black Black Black Black\nRed Black Red Black Green Black Black\nBlack Black Black Green Black Black Black\n\nOutput:\nGreen Black Green Red Black Red Black\nBlack Green Black Black Red Black Black\nYellow Black Green Red Black Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Black Yellow Black Black Black Black\nBlack Yellow Black Black Black Black Black\nYellow Black Yellow Black Blue Black Black\nBlack Black Black Blue Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Red Black Black\nBlack Blue Black Red Black Red Black\nGreen Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Green Black Blue Black\nBlack Black Yellow Black Yellow Black Black\nBlack Yellow Black Yellow Black Black Black\nYellow Black Yellow Black Yellow Black Black\nBlack Blue Black Blue Green Black Black\nBlack Black Blue Black Black Black Black\nBlack Blue Black Blue Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Black Black\nBlack Green Black Yellow Black Yellow Black\nBlue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Blue Black Green Black\nBlack Black Red Black Red Black Black\nBlack Red Black Red Black Black Black\nRed Black Red Black Red Black Black\nBlack Green Black Green Blue Black Black\nBlack Black Green Black Black Black Black\nBlack Green Black Green Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Green Yellow Blue Black\nBlack Black Black Black Black Black Red Black Blue\nYellow Black Black Black Red Black Red Blue Black\nBlack Black Black Black Black Blue Black Black Red\nBlack Black Black Yellow Red Yellow Red Red Black\nBlack Green Black Black Yellow Green Red Black Black\nBlack Black Green Yellow Green Yellow Black Black Black\nBlack Black Black Green Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Red Blue Red Green Black\nBlack Black Black Black Black Black Yellow Black Green\nRed Black Black Black Yellow Black Yellow Green Black\nBlack Black Black Black Black Green Black Black Yellow\nBlack Black Black Red Yellow Red Yellow Yellow Black\nBlack Blue Black Black Red Blue Yellow Black Black\nBlack Black Blue Red Blue Red Black Black Black\nBlack Black Black Blue 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 Purple Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Red Black Black Black Black Black\nBlack Purple Purple Purple Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Pink Pink Pink Pink Pink Black Black\nBlack Black Brown Black Black Pink Black Pink Black Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black\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 Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Blue Blue Blue Blue Black\nBlack Black Black Red Red Black Black Blue Blue Blue Blue Black\nBlack Black Black Red Red Black Black Blue Blue Blue Blue 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 Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Gray Black Black Brown Black Black Black Brown Brown Black Black\nBlack Black Black Black Brown Black Black Black Brown Brown Brown Brown\nRed Black Black Black Brown Black Black Black Black Black Black Black\nRed Black Black Black Brown Brown Black Black Black Black Black Black\nRed Red Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Purple\nBlack Black 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 Purple Black Black\nBlack Black Black Black Purple Black Black\nBlack Black Purple Purple Purple Black Black\nBlack Black Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black\nBlack Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Black Gray Black Black Black\nBlack Black Black Black Gray 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 Gray Black Black\nBlack Black Gray Gray Black Gray Black Black\nBlack Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Pink Pink Black Black\nBlack Black Pink Pink Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Black Black Black Pink Black Black Black Black Black\nBlack Brown Black Brown Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Brown Brown Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Brown Brown Brown Black Black\nPink Pink Black Black Black Black Purple Brown Brown Brown Brown Black Black\nBlack Pink Black Black Black Purple Purple Brown Brown Brown Brown Black Black\nBlack Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black\nBlack Black Black Black Black Purple Purple Black Green Green Green Green Green\nBlack Black Black Black Black Black Purple Black Green Green Black Black Green\nBlack Black Black Black Black Black Black Black Green Green Green Green Green\n\nOutput:\nYellow Yellow Yellow Yellow Black Black Black Yellow Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Gray Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Black Black Black Gray Gray Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Gray Gray Gray Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Gray Gray Black Red Red Red Red Red\nBlack Black Black Black Black Black Gray Black Red Red Black Black Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Blue Blue Blue Black Black\nBlack Black Red Red Red Black Black Blue Blue Blue Black Black\nOrange Orange Orange Orange Red Black Black Blue Black Blue Black Black\nBlack Orange Black Orange Yellow Black Yellow Blue Black Blue Black Black\nOrange Orange Orange Orange Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Blue Black Blue Black Black\nBlack Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black\nBlack Black Black Black Yellow Black Yellow Blue Black Blue 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\nGreen Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Orange Orange Orange Black Black\nBlack Black Green Green Green Black Black Orange Orange Orange Black Black\nBlue Blue Blue Blue Green Black Black Orange Black Orange Black Black\nBlack Blue Black Blue Pink Black Pink Orange Black Orange Black Black\nBlue Blue Blue Blue Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Orange Black Orange Black Black\nBlack Black Black Black Pink Pink Pink Orange Orange Orange Black Black\nBlack Black Black Black Pink Black Pink Orange Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Green Green Black Black Black Black Black Black Blue Blue Black\nBlack Green Green Black Black Black Black Black Blue Blue Blue Blue\nBlack Green Green Black Black Purple Purple Black Black Blue Blue Black\nBlack Green Green Black Purple Purple Black Black Gray Blue Blue Gray\nGreen Green Green Purple Purple Black Black Black Gray Blue Blue Gray\nGreen Black Green Purple Red Red Red Black Gray Black Black Gray\nGreen Black Green Purple Red Red Red Red Gray Gray Gray Gray\nGreen Black Green Black Red Red Red Red Black Black Black Black\nGreen Green Green Black Red Red Red Brown Brown Brown Brown Brown\nGreen Green Green Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown\n\nOutput:\nRed Red Red Black Black Black Black Black Black Orange Orange Black\nBlack Red Red Black Black Black Black Black Orange Orange Orange Orange\nBlack Red Red Black Black Gray Gray Black Black Orange Orange Black\nBlack Red Red Black Gray Gray Black Black Purple Orange Orange Purple\nRed Red Red Gray Gray Black Black Black Purple Orange Orange Purple\nRed Black Red Gray Green Green Green Black Purple Black Black Purple\nRed Black Red Gray Green Green Green Green Purple Purple Purple Purple\nRed Black Red Black Green Green Green Green Black Black Black Black\nRed Red Red Black Green Green Green Yellow Yellow Yellow Yellow Yellow\nRed Red Red Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Orange Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Orange Orange Orange Black Black\nGray Gray Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Orange Black Black Black\nBlack Black Black Gray Gray Gray Gray Brown Brown Black Brown Black Brown Black\nBlack Black Black Gray Gray Black Black Black Brown Black Brown Black Brown Black\nBlack Black Black Black Pink Black Black Black Brown Brown Brown Brown Brown Black\nPink Black Black Black Pink Black Black Black Black Brown Brown Black Brown Black\nPink Black Black Black Pink Pink Pink Black Black Black Brown Brown Brown Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink 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\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Blue Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Blue Blue Blue Black Black\nPurple Purple Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Blue Black Black Black\nBlack Black Black Purple Purple Purple Purple Yellow Yellow Black Yellow Black Yellow Black\nBlack Black Black Purple Purple Black Black Black Yellow Black Yellow Black Yellow Black\nBlack Black Black Black Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nYellow Black Black Black Yellow Black Black Black Black Yellow Yellow Black Yellow Black\nYellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black\nYellow 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Black Black Black Yellow Yellow Yellow Black Black Black\nOrange Black Gray Gray Yellow Yellow Yellow Black Red Red\nBlack Black Gray Gray Yellow Yellow Pink Black Red Red\nBlack Black Gray Gray Black Black Black Black Red Red\nPurple Purple Purple Black Black Black Black Brown Brown Red\nPurple Purple Purple Gray Gray Gray Purple Brown Brown Red\nPurple Purple Purple Gray Gray Gray Purple Black Black Black\nGreen Green Green Gray Gray Gray Black Yellow Yellow Yellow\nGreen Green Green Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPink Pink Pink Black Black Black Yellow Yellow Black Brown\nPink Pink Pink Yellow Black Black Yellow Yellow Black Black\nGray Pink Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Purple Black Gray Gray Gray Red Red Black Black\nBlack Black Black Gray Gray Gray Black Yellow Yellow Black\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Black\nBlack Black Green Green Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Orange Black Black Black Black Black Purple Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Brown Black Green Green Green\nOrange Black Blue Blue Black Brown Black Blue Black Black\nOrange Black Blue Blue Black Black Black Green Green Black\nBlack Black Blue Blue Black Black Black Pink Pink Pink\nBrown Brown Brown Black Black Black Red Pink Pink Pink\nBrown Brown Brown Pink Pink Yellow Yellow Pink Pink Pink\nBlack Yellow Black Pink Pink Black Black Brown Brown Orange\nBlack Yellow Black Black Black Black Black Black Black Orange\nBlack Yellow Black Black Black Black Black Black Black Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Black Black Black Black Black Black Black Black\nOrange Orange Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBlack Black Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Blue Black Black Black Black Pink Pink Pink Black\nBlack Black Orange Orange Black Pink Black Yellow Yellow Yellow\nPink Pink Orange Orange Black Pink Black Yellow Yellow Yellow\nPink Pink Black Black Black Pink Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Orange Purple Purple Red Brown Red Brown Red Orange Red Gray\nBrown Gray Blue Brown Blue Brown Green Yellow Purple Blue Orange Brown\nPink Purple Green Gray Gray Gray Brown Yellow Purple Purple Brown Orange\nBrown Gray Red Pink Pink Gray Purple Orange Green Yellow Yellow Orange\nPink Blue Pink Gray Brown Purple Brown Yellow Purple Yellow Yellow Yellow\nBlue Purple Yellow Purple Purple Purple Green Green Brown Pink Gray Purple\nBlue Orange Gray Orange Brown Orange Red Green Green Brown Orange Pink\nBrown Green Orange Blue Yellow Purple Purple Orange Purple Yellow Green Gray\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Brown Brown Green Pink Brown Brown Blue Blue Purple\nOrange Gray Gray Brown Red Orange Pink Red Orange Pink\nYellow Gray Red Gray Purple Red Purple Blue Pink Red\nGray Purple Orange Brown Brown Purple Blue Gray Pink Gray\nGray Yellow Yellow Purple Gray Green Yellow Yellow Yellow Orange\nOrange Pink Brown Purple Purple Brown Brown Gray Brown Red\nRed Orange Red Gray Blue Pink Green Red Blue Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nPink Purple Pink Pink Yellow Brown Pink Gray Red Green Blue\nOrange Blue Purple Pink Brown Brown Yellow Orange Red Yellow Yellow\nGray Orange Yellow Blue Pink Pink Yellow Yellow Blue Green Brown\nBrown Brown Purple Pink Green Brown Pink Blue Gray Blue Purple\nGray Blue Pink Brown Yellow Brown Purple Pink Red Orange Purple\nGray Orange Green Brown Blue Blue Purple Green Orange Red Purple\nPink Red Orange Pink Purple Orange Blue Green Red Yellow Yellow\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Pink Green Purple Green Red Purple Gray Blue\nYellow Red Red Purple Red Gray Gray Yellow Blue\nYellow Brown Orange Brown Purple Purple Red Green Red\nBrown Purple Yellow Brown Blue Yellow Pink Yellow Pink\nGray Green Red Yellow Orange Blue Orange Purple Red\nGreen Orange Orange Pink Green Blue Pink Brown Gray\nOrange Blue Red Brown Purple Pink Pink Pink Orange\nGray Blue Orange Pink Orange Brown Pink Orange Blue\nGray Pink Blue Brown Orange Yellow Pink Green Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red\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 Blue Blue Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Blue Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nYellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black\nYellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black\nBlack Black Blue Blue Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black\nYellow Yellow Blue Blue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Blue Blue Black Black Yellow Yellow\nYellow Yellow Blue Blue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Blue Blue Black Black Yellow Yellow\nBlack Black Blue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nYellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Yellow Yellow Black Black\nYellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Yellow Yellow Black Black\n\nOutput:\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nYellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black\nYellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black\nYellow Yellow Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Yellow Yellow\nYellow Yellow Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Yellow Yellow\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nYellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Yellow Yellow Black Black\nYellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Yellow Yellow Black Black\n\n\nExample 3\nInput:\nYellow Yellow Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Blue Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Blue Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow\nBlack Black Yellow Yellow Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Blue Blue 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 Blue Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Blue Blue Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Blue Blue Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow\nBlack Black Yellow Yellow Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue 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 Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Yellow Yellow Black Black Yellow Yellow Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Yellow Yellow Black Black Yellow Yellow Black Black\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Yellow Yellow Black Black\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Yellow Yellow Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black\nBlue Blue Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Yellow Yellow Black Black\nBlue Blue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Yellow Yellow Black Black\nBlue Blue Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black Yellow Yellow\nBlue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black Yellow Yellow\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow\nBlue Blue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black 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```\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Yellow Yellow Black Black Yellow Yellow Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Yellow Yellow Black Black Yellow Yellow Black Black\nBlue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Yellow Yellow Black Black\nBlue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Yellow Yellow Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Yellow Yellow Black Black\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Yellow Yellow Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black Yellow Yellow\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black Yellow Yellow\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black 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:\nPink Pink Yellow Yellow Pink Pink Brown Brown Purple Purple\nPink Pink Yellow Yellow Pink Pink Brown Brown Purple Purple\nGray Gray Pink Pink Orange Orange Brown Brown Green Green\nGray Gray Pink Pink Orange Orange Brown Brown Green Green\nGreen Green Orange Orange Orange Orange Brown Brown Orange Orange\nGreen Green Orange Orange Orange Orange Brown Brown Orange Orange\nGray Gray Orange Orange Blue Blue Pink Pink Gray Gray\nGray Gray Orange Orange Blue Blue Pink Pink Gray Gray\n\nOutput:\nPink Pink Yellow Yellow Pink Pink Brown Brown Purple Purple Brown Brown Pink Pink Brown Brown Brown Brown Gray Gray\nPink Pink Yellow Yellow Pink Pink Brown Brown Purple Purple Brown Brown Pink Pink Brown Brown Brown Brown Gray Gray\nGray Gray Pink Pink Orange Orange Brown Brown Green Green Black Black Brown Brown Yellow Yellow Brown Brown Red Red\nGray Gray Pink Pink Orange Orange Brown Brown Green Green Black Black Brown Brown Yellow Yellow Brown Brown Red Red\nGreen Green Orange Orange Orange Orange Brown Brown Orange Orange Red Red Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow\nGreen Green Orange Orange Orange Orange Brown Brown Orange Orange Red Red Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow\nGray Gray Orange Orange Blue Blue Pink Pink Gray Gray Black Black Yellow Yellow Gray Gray Brown Brown Black Black\nGray Gray Orange Orange Blue Blue Pink Pink Gray Gray Black Black Yellow Yellow Gray Gray Brown Brown Black Black\nBrown Brown Pink Pink Brown Brown Brown Brown Gray Gray Brown Brown Pink Pink Brown Brown Brown Brown Gray Gray\nBrown Brown Pink Pink Brown Brown Brown Brown Gray Gray Brown Brown Pink Pink Brown Brown Brown Brown Gray Gray\nBlack Black Brown Brown Yellow Yellow Brown Brown Red Red Black Black Brown Brown Yellow Yellow Brown Brown Red Red\nBlack Black Brown Brown Yellow Yellow Brown Brown Red Red Black Black Brown Brown Yellow Yellow Brown Brown Red Red\nRed Red Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow Red Red Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow\nRed Red Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow Red Red Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow\nBlack Black Yellow Yellow Gray Gray Brown Brown Black Black Black Black Yellow Yellow Gray Gray Brown Brown Black Black\nBlack Black Yellow Yellow Gray Gray Brown Brown Black Black Black Black Yellow Yellow Gray Gray Brown Brown Black Black\n\n\nExample 2\nInput:\nOrange Orange Yellow Yellow Blue Blue Red Red\nOrange Orange Yellow Yellow Blue Blue Red Red\nGreen Green Pink Pink Blue Blue Gray Gray\nGreen Green Pink Pink Blue Blue Gray Gray\nRed Red Orange Orange Brown Brown Blue Blue\nRed Red Orange Orange Brown Brown Blue Blue\nPurple Purple Brown Brown Gray Gray Brown Brown\nPurple Purple Brown Brown Gray Gray Brown Brown\nBrown Brown Purple Purple Purple Purple Brown Brown\nBrown Brown Purple Purple Purple Purple Brown Brown\n\nOutput:\nOrange Orange Yellow Yellow Blue Blue Red Red Yellow Yellow Pink Pink Gray Gray Green Green\nOrange Orange Yellow Yellow Blue Blue Red Red Yellow Yellow Pink Pink Gray Gray Green Green\nGreen Green Pink Pink Blue Blue Gray Gray Red Red Brown Brown Gray Gray Black Black\nGreen Green Pink Pink Blue Blue Gray Gray Red Red Brown Brown Gray Gray Black Black\nRed Red Orange Orange Brown Brown Blue Blue Green Green Yellow Yellow Brown Brown Gray Gray\nRed Red Orange Orange Brown Brown Blue Blue Green Green Yellow Yellow Brown Brown Gray Gray\nPurple Purple Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Black Black Brown Brown\nPurple Purple Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Black Black Brown Brown\nBrown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown\nBrown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown\nYellow Yellow Pink Pink Gray Gray Green Green Yellow Yellow Pink Pink Gray Gray Green Green\nYellow Yellow Pink Pink Gray Gray Green Green Yellow Yellow Pink Pink Gray Gray Green Green\nRed Red Brown Brown Gray Gray Black Black Red Red Brown Brown Gray Gray Black Black\nRed Red Brown Brown Gray Gray Black Black Red Red Brown Brown Gray Gray Black Black\nGreen Green Yellow Yellow Brown Brown Gray Gray Green Green Yellow Yellow Brown Brown Gray Gray\nGreen Green Yellow Yellow Brown Brown Gray Gray Green Green Yellow Yellow Brown Brown Gray Gray\nGray Gray Brown Brown Black Black Brown Brown Gray Gray Brown Brown Black Black Brown Brown\nGray Gray Brown Brown Black Black Brown Brown Gray Gray Brown Brown Black Black Brown Brown\nBrown Brown Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown\nBrown Brown Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown\n\n\nExample 3\nInput:\nGray Gray Brown Brown Yellow Yellow Yellow Yellow Red Red\nGray Gray Brown Brown Yellow Yellow Yellow Yellow Red Red\nGreen Green Blue Blue Orange Orange Purple Purple Pink Pink\nGreen Green Blue Blue Orange Orange Purple Purple Pink Pink\nOrange Orange Gray Gray Pink Pink Blue Blue Purple Purple\nOrange Orange Gray Gray Pink Pink Blue Blue Purple Purple\nYellow Yellow Orange Orange Green Green Purple Purple Blue Blue\nYellow Yellow Orange Orange Green Green Purple Purple Blue Blue\nBlue Blue Brown Brown Green Green Orange Orange Gray Gray\nBlue Blue Brown Brown Green Green Orange Orange Gray Gray\n\nOutput:\nGray Gray Brown Brown Yellow Yellow Yellow Yellow Red Red Black Black Brown Brown Pink Pink Pink Pink Green Green\nGray Gray Brown Brown Yellow Yellow Yellow Yellow Red Red Black Black Brown Brown Pink Pink Pink Pink Green Green\nGreen Green Blue Blue Orange Orange Purple Purple Pink Pink Red Red Gray Gray Yellow Yellow Gray Gray Brown Brown\nGreen Green Blue Blue Orange Orange Purple Purple Pink Pink Red Red Gray Gray Yellow Yellow Gray Gray Brown Brown\nOrange Orange Gray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Black Black Brown Brown Gray Gray Gray Gray\nOrange Orange Gray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Black Black Brown Brown Gray Gray Gray Gray\nYellow Yellow Orange Orange Green Green Purple Purple Blue Blue Pink Pink Yellow Yellow Red Red Gray Gray Gray Gray\nYellow Yellow Orange Orange Green Green Purple Purple Blue Blue Pink Pink Yellow Yellow Red Red Gray Gray Gray Gray\nBlue Blue Brown Brown Green Green Orange Orange Gray Gray Gray Gray Brown Brown Red Red Yellow Yellow Black Black\nBlue Blue Brown Brown Green Green Orange Orange Gray Gray Gray Gray Brown Brown Red Red Yellow Yellow Black Black\nBlack Black Brown Brown Pink Pink Pink Pink Green Green Black Black Brown Brown Pink Pink Pink Pink Green Green\nBlack Black Brown Brown Pink Pink Pink Pink Green Green Black Black Brown Brown Pink Pink Pink Pink Green Green\nRed Red Gray Gray Yellow Yellow Gray Gray Brown Brown Red Red Gray Gray Yellow Yellow Gray Gray Brown Brown\nRed Red Gray Gray Yellow Yellow Gray Gray Brown Brown Red Red Gray Gray Yellow Yellow Gray Gray Brown Brown\nYellow Yellow Black Black Brown Brown Gray Gray Gray Gray Yellow Yellow Black Black Brown Brown Gray Gray Gray Gray\nYellow Yellow Black Black Brown Brown Gray Gray Gray Gray Yellow Yellow Black Black Brown Brown Gray Gray Gray Gray\nPink Pink Yellow Yellow Red Red Gray Gray Gray Gray Pink Pink Yellow Yellow Red Red Gray Gray Gray Gray\nPink Pink Yellow Yellow Red Red Gray Gray Gray Gray Pink Pink Yellow Yellow Red Red Gray Gray Gray Gray\nGray Gray Brown Brown Red Red Yellow Yellow Black Black Gray Gray Brown Brown Red Red Yellow Yellow Black Black\nGray Gray Brown Brown Red Red Yellow Yellow Black Black Gray Gray Brown Brown Red Red Yellow Yellow Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Gray Gray Green Green\nPink Pink Gray Gray Green Green\nPink Pink Brown Brown Gray Gray\nPink Pink Brown Brown Gray Gray\nBrown Brown Blue Blue Pink Pink\nBrown Brown Blue Blue 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 Gray Gray Green Green Brown Brown Black Black Red Red\nPink Pink Gray Gray Green Green Brown Brown Black Black Red Red\nPink Pink Brown Brown Gray Gray Brown Brown Brown Brown Black Black\nPink Pink Brown Brown Gray Gray Brown Brown Brown Brown Black Black\nBrown Brown Blue Blue Pink Pink Brown Brown Gray Gray Brown Brown\nBrown Brown Blue Blue Pink Pink Brown Brown Gray Gray Brown Brown\nBrown Brown Black Black Red Red Brown Brown Black Black Red Red\nBrown Brown Black Black Red Red Brown Brown Black Black Red Red\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black\nBrown Brown Gray Gray Brown Brown Brown Brown Gray Gray Brown Brown\nBrown Brown Gray Gray Brown Brown Brown Brown Gray Gray Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlack 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black 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 Black Black\nBlack Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Red Red\nRed Red Red Red Red Red Red Red Blue Blue Red Red Red Red Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Red Red Red Red Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Blue Blue Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Blue Blue Red Red\nRed Red Red Red Red Red Red Red Blue Blue Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Blue Blue Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Yellow Yellow Black Black Black Black\nGray Gray Black Black Black Black Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nGray Gray Black Black Black Black Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nRed Red Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nRed Red Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue\nBlack 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nBlack Black Black\nGray Gray Gray\nGray Gray Black\nGray Gray Black\nBlack Black Black\nGray Gray Gray\nGray Black Gray\nGray Black Gray\n\nOutput:\nBlue Blue Blue\nPink Pink Pink\nOrange Orange Orange\n\n\nExample 2\nInput:\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nBlack Black Black\nGray Gray Gray\nGray Black Gray\nGray Black Gray\nBlack Black Black\nGray Gray Gray\nGray Gray Black\nGray Gray Black\n\nOutput:\nBlue Blue Blue\nOrange Orange Orange\nPink Pink Pink\n\n\nExample 3\nInput:\nGray Gray Gray\nGray Black Gray\nGray Black Gray\nBlack Black Black\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nBlack Black Black\nGray Gray Gray\nGray Gray Black\nGray Gray Black\n\nOutput:\nOrange Orange Orange\nBlue Blue Blue\nPink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray\nGray Black Gray\nGray Black Gray\nBlack Black Black\nGray Gray Gray\nGray Gray Black\nGray Gray Black\nBlack Black Black\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange\nPink Pink Pink\nBlue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Black Black Black Black Black Black Black Red Red Red Red Red Red Red\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nRed 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\nRed 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\nRed 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\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black 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\nRed 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\nRed 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\nRed 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\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nRed 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\nRed 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\nRed 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\nRed 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 Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Black Black Black Black Black Black Black 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\nRed 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\nRed 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\nRed 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\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\n\n\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\nRed 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\nRed 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\nRed 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nRed 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\nRed 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\nRed 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\n\n\nDirectly provide the output grids corresponding to the given test input 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\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nBlack Black Black Black Black Black Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nBlack Black Black Black Black Black Brown Brown Orange Orange Orange Orange Green Green Green Green Brown Brown Orange Orange Pink Pink\nBlack Black Black Black Black Black Brown Brown Orange Orange Orange Orange Green Green Green Green Brown Brown Orange Orange Pink Pink\nBlack Black Black Black Black Black Orange Orange Purple Purple Gray Gray Pink Pink Blue Blue Orange Orange Gray Gray Orange Orange\nBlack Black Black Black Black Black Orange Orange Purple Purple Gray Gray Pink Pink Blue Blue Orange Orange Gray Gray Orange Orange\nBlack Black Black Black Black Black Blue Blue Orange Orange Green Green Orange Orange Orange Orange Red Red Purple Purple Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Orange Orange Green Green Orange Orange Orange Orange Red Red Purple Purple Yellow Yellow\nBlack Black Black Black Black Black Brown Brown Gray Gray Yellow Yellow Purple Purple Green Green Green Green Green Green Purple Purple\nBlack Black Black Black Black Black Brown Brown Gray Gray Yellow Yellow Purple Purple Green Green Green Green Green Green Purple Purple\nBlack Black Black Black Black Black Purple Purple Orange Orange Green Green Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple\nBlack Black Black Black Black Black Purple Purple Orange Orange Green Green Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple\nBlack Black Black Black Black Black Purple Purple Blue Blue Brown Brown Gray Gray Purple Purple Pink Pink Pink Pink Gray Gray\nBlack Black Black Black Black Black Purple Purple Blue Blue Brown Brown Gray Gray Purple Purple Pink Pink Pink Pink Gray Gray\nBlack Black Black Black Black Black Green Green Blue Blue Pink Pink Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Purple Purple\nBlack Black Black Black Black Black Green Green Blue Blue Pink Pink Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Purple Purple\nBlack Black Black Black Black Black Pink Pink Gray Gray Red Red Yellow Yellow Blue Blue Purple Purple Brown Brown Purple Purple\nBlack Black Black Black Black Black Pink Pink Gray Gray Red Red Yellow Yellow Blue Blue Purple Purple Brown Brown Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Red Red Brown Brown Red Red Brown Brown Red Red Orange Orange\nBlack Black Black Black Black Black Purple Purple Purple Purple Red Red Brown Brown Red Red Brown Brown Red Red Orange Orange\nGreen Green Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Red Red Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Red Red Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nBlack Black Black Black Black Black Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nBlack Black Black Black Black Black Brown Brown Orange Orange Orange Orange Green Green Green Green Brown Brown Orange Orange Pink Pink\nBlack Black Black Black Black Black Brown Brown Orange Orange Orange Orange Green Green Green Green Brown Brown Orange Orange Pink Pink\nBlack Black Black Black Black Black Orange Orange Purple Purple Gray Gray Pink Pink Blue Blue Orange Orange Gray Gray Orange Orange\nBlack Black Black Black Black Black Orange Orange Purple Purple Gray Gray Pink Pink Blue Blue Orange Orange Gray Gray Orange Orange\nBlack Black Black Black Black Black Blue Blue Orange Orange Green Green Orange Orange Orange Orange Red Red Purple Purple Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Orange Orange Green Green Orange Orange Orange Orange Red Red Purple Purple Yellow Yellow\nBlack Black Black Black Black Black Brown Brown Gray Gray Yellow Yellow Purple Purple Green Green Green Green Green Green Purple Purple\nBlack Black Black Black Black Black Brown Brown Gray Gray Yellow Yellow Purple Purple Green Green Green Green Green Green Purple Purple\nBlack Black Black Black Black Black Purple Purple Orange Orange Green Green Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple\nBlack Black Black Black Black Black Purple Purple Orange Orange Green Green Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple\nBlack Black Black Black Black Black Purple Purple Blue Blue Brown Brown Gray Gray Purple Purple Pink Pink Pink Pink Gray Gray\nBlack Black Black Black Black Black Purple Purple Blue Blue Brown Brown Gray Gray Purple Purple Pink Pink Pink Pink Gray Gray\nBlack Black Black Black Black Black Green Green Blue Blue Pink Pink Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Purple Purple\nBlack Black Black Black Black Black Green Green Blue Blue Pink Pink Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Purple Purple\nBlack Black Black Black Black Black Pink Pink Gray Gray Red Red Yellow Yellow Blue Blue Purple Purple Brown Brown Purple Purple\nBlack Black Black Black Black Black Pink Pink Gray Gray Red Red Yellow Yellow Blue Blue Purple Purple Brown Brown Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Red Red Brown Brown Red Red Brown Brown Red Red Orange Orange\nBlack Black Black Black Black Black Purple Purple Purple Purple Red Red Brown Brown Red Red Brown Brown Red Red Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Orange Orange Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Orange Orange Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue Brown Brown\nBlack Black Black Black Black Black Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue Brown Brown\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown Orange Orange Blue Blue Orange Orange Pink Pink\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown Orange Orange Blue Blue Orange Orange Pink Pink\nBlack Black Black Black Black Black Red Red Green Green Blue Blue Orange Orange Pink Pink Purple Purple Purple Purple Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Red Red Green Green Blue Blue Orange Orange Pink Pink Purple Purple Purple Purple Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Purple Purple Yellow Yellow Gray Gray Pink Pink Gray Gray Purple Purple Red Red Purple Purple Blue Blue Pink Pink\nBlack Black Black Black Black Black Purple Purple Yellow Yellow Gray Gray Pink Pink Gray Gray Purple Purple Red Red Purple Purple Blue Blue Pink Pink\nBlack Black Black Black Black Black Orange Orange Gray Gray Gray Gray Brown Brown Yellow Yellow Orange Orange Pink Pink Red Red Orange Orange Pink Pink\nBlack Black Black Black Black Black Orange Orange Gray Gray Gray Gray Brown Brown Yellow Yellow Orange Orange Pink Pink Red Red Orange Orange Pink Pink\nBlack Black Black Black Black Black Yellow Yellow Red Red Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink\nBlack Black Black Black Black Black Yellow Yellow Red Red Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink\nBlue Blue Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Orange Orange Brown Brown 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 Orange Orange Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Orange Orange Red Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue Brown Brown\nBlack Black Black Black Black Black Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue Brown Brown\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown Orange Orange Blue Blue Orange Orange Pink Pink\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown Orange Orange Blue Blue Orange Orange Pink Pink\nBlack Black Black Black Black Black Red Red Green Green Blue Blue Orange Orange Pink Pink Purple Purple Purple Purple Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Red Red Green Green Blue Blue Orange Orange Pink Pink Purple Purple Purple Purple Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Purple Purple Yellow Yellow Gray Gray Pink Pink Gray Gray Purple Purple Red Red Purple Purple Blue Blue Pink Pink\nBlack Black Black Black Black Black Purple Purple Yellow Yellow Gray Gray Pink Pink Gray Gray Purple Purple Red Red Purple Purple Blue Blue Pink Pink\nBlack Black Black Black Black Black Orange Orange Gray Gray Gray Gray Brown Brown Yellow Yellow Orange Orange Pink Pink Red Red Orange Orange Pink Pink\nBlack Black Black Black Black Black Orange Orange Gray Gray Gray Gray Brown Brown Yellow Yellow Orange Orange Pink Pink Red Red Orange Orange Pink Pink\nBlack Black Black Black Black Black Yellow Yellow Red Red Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink\nBlack Black Black Black Black Black Yellow Yellow Red Red Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Orange Orange Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\nBlack Black Black Black Black Black Orange Orange Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\nBlack Black Black Black Black Black Brown Brown Blue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Purple Purple Blue Blue Pink Pink Gray Gray\nBlack Black Black Black Black Black Brown Brown Blue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Purple Purple Blue Blue Pink Pink Gray Gray\nBlack Black Black Black Black Black Purple Purple Pink Pink Gray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange Green Green\nBlack Black Black Black Black Black Purple Purple Pink Pink Gray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange Green Green\nBlack Black Black Black Black Black Purple Purple Blue Blue Blue Blue Gray Gray Green Green Gray Gray Blue Blue Pink Pink Brown Brown Yellow Yellow Brown Brown\nBlack Black Black Black Black Black Purple Purple Blue Blue Blue Blue Gray Gray Green Green Gray Gray Blue Blue Pink Pink Brown Brown Yellow Yellow Brown Brown\nBlack Black Black Black Black Black Yellow Yellow Blue Blue Green Green Yellow Yellow Green Green Blue Blue Green Green Brown Brown Red Red Purple Purple Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Blue Blue Green Green Yellow Yellow Green Green Blue Blue Green Green Brown Brown Red Red Purple Purple Orange Orange\nBlack Black Black Black Black Black Green Green Orange Orange Blue Blue Purple Purple Pink Pink Brown Brown Brown Brown Yellow Yellow Orange Orange Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Green Green Orange Orange Blue Blue Purple Purple Pink Pink Brown Brown Brown Brown Yellow Yellow Orange Orange Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Purple Purple Pink Pink Pink Pink Yellow Yellow Brown Brown Pink Pink Gray Gray Blue Blue Green Green Blue Blue Gray Gray\nBlack Black Black Black Black Black Purple Purple Pink Pink Pink Pink Yellow Yellow Brown Brown Pink Pink Gray Gray Blue Blue Green Green Blue Blue Gray Gray\nBlue Blue Gray Gray Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Gray Gray Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Green Green Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Green Green Purple Purple 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 Orange Orange Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\nBlack Black Black Black Black Black Orange Orange Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\nBlack Black Black Black Black Black Brown Brown Blue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Purple Purple Blue Blue Pink Pink Gray Gray\nBlack Black Black Black Black Black Brown Brown Blue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Purple Purple Blue Blue Pink Pink Gray Gray\nBlack Black Black Black Black Black Purple Purple Pink Pink Gray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange Green Green\nBlack Black Black Black Black Black Purple Purple Pink Pink Gray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange Green Green\nBlack Black Black Black Black Black Purple Purple Blue Blue Blue Blue Gray Gray Green Green Gray Gray Blue Blue Pink Pink Brown Brown Yellow Yellow Brown Brown\nBlack Black Black Black Black Black Purple Purple Blue Blue Blue Blue Gray Gray Green Green Gray Gray Blue Blue Pink Pink Brown Brown Yellow Yellow Brown Brown\nBlack Black Black Black Black Black Yellow Yellow Blue Blue Green Green Yellow Yellow Green Green Blue Blue Green Green Brown Brown Red Red Purple Purple Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Blue Blue Green Green Yellow Yellow Green Green Blue Blue Green Green Brown Brown Red Red Purple Purple Orange Orange\nBlack Black Black Black Black Black Green Green Orange Orange Blue Blue Purple Purple Pink Pink Brown Brown Brown Brown Yellow Yellow Orange Orange Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Green Green Orange Orange Blue Blue Purple Purple Pink Pink Brown Brown Brown Brown Yellow Yellow Orange Orange Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Purple Purple Pink Pink Pink Pink Yellow Yellow Brown Brown Pink Pink Gray Gray Blue Blue Green Green Blue Blue Gray Gray\nBlack Black Black Black Black Black Purple Purple Pink Pink Pink Pink Yellow Yellow Brown Brown Pink Pink Gray Gray Blue Blue Green Green Blue Blue Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Blue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nBlack Black Black Black Black Black Pink Pink Blue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Orange Orange Brown Brown Brown Brown Pink Pink Gray Gray Pink Pink Gray Gray\nBlack Black Black Black Black Black Pink Pink Pink Pink Orange Orange Brown Brown Brown Brown Pink Pink Gray Gray Pink Pink Gray Gray\nBlack Black Black Black Black Black Gray Gray Pink Pink Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown Purple Purple Pink Pink\nBlack Black Black Black Black Black Gray Gray Pink Pink Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown Purple Purple Pink Pink\nBlack Black Black Black Black Black Orange Orange Blue Blue Orange Orange Purple Purple Red Red Brown Brown Pink Pink Red Red Blue Blue\nBlack Black Black Black Black Black Orange Orange Blue Blue Orange Orange Purple Purple Red Red Brown Brown Pink Pink Red Red Blue Blue\nBlack Black Black Black Black Black Green Green Green Green Pink Pink Red Red Orange Orange Gray Gray Green Green Purple Purple Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Green Pink Pink Red Red Orange Orange Gray Gray Green Green Purple Purple Yellow Yellow\nBlack Black Black Black Black Black Purple Purple Red Red Green Green Blue Blue Yellow Yellow Purple Purple Purple Purple Orange Orange Brown Brown\nBlack Black Black Black Black Black Purple Purple Red Red Green Green Blue Blue Yellow Yellow Purple Purple Purple Purple Orange Orange Brown Brown\nBlack Black Black Black Black Black Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Brown Brown Orange Orange Brown Brown Purple Purple\nBlack Black Black Black Black Black Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Brown Brown Orange Orange Brown Brown Purple Purple\nBlack Black Black Black Black Black Blue Blue Orange Orange Yellow Yellow Red Red Blue Blue Purple Purple Red Red Gray Gray Gray Gray\nBlack Black Black Black Black Black Blue Blue Orange Orange Yellow Yellow Red Red Blue Blue Purple Purple Red Red Gray Gray Gray Gray\nBlack Black Black Black Black Black Yellow Yellow Red Red Pink Pink Green Green Purple Purple Green Green Orange Orange Purple Purple Gray Gray\nBlack Black Black Black Black Black Yellow Yellow Red Red Pink Pink Green Green Purple Purple Green Green Orange Orange Purple Purple Gray Gray\nPurple Purple Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Blue Blue Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Blue Blue Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Pink Pink Blue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nBlack Black Black Black Black Black Pink Pink Blue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Orange Orange Brown Brown Brown Brown Pink Pink Gray Gray Pink Pink Gray Gray\nBlack Black Black Black Black Black Pink Pink Pink Pink Orange Orange Brown Brown Brown Brown Pink Pink Gray Gray Pink Pink Gray Gray\nBlack Black Black Black Black Black Gray Gray Pink Pink Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown Purple Purple Pink Pink\nBlack Black Black Black Black Black Gray Gray Pink Pink Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown Purple Purple Pink Pink\nBlack Black Black Black Black Black Orange Orange Blue Blue Orange Orange Purple Purple Red Red Brown Brown Pink Pink Red Red Blue Blue\nBlack Black Black Black Black Black Orange Orange Blue Blue Orange Orange Purple Purple Red Red Brown Brown Pink Pink Red Red Blue Blue\nBlack Black Black Black Black Black Green Green Green Green Pink Pink Red Red Orange Orange Gray Gray Green Green Purple Purple Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Green Pink Pink Red Red Orange Orange Gray Gray Green Green Purple Purple Yellow Yellow\nBlack Black Black Black Black Black Purple Purple Red Red Green Green Blue Blue Yellow Yellow Purple Purple Purple Purple Orange Orange Brown Brown\nBlack Black Black Black Black Black Purple Purple Red Red Green Green Blue Blue Yellow Yellow Purple Purple Purple Purple Orange Orange Brown Brown\nBlack Black Black Black Black Black Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Brown Brown Orange Orange Brown Brown Purple Purple\nBlack Black Black Black Black Black Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Brown Brown Orange Orange Brown Brown Purple Purple\nBlack Black Black Black Black Black Blue Blue Orange Orange Yellow Yellow Red Red Blue Blue Purple Purple Red Red Gray Gray Gray Gray\nBlack Black Black Black Black Black Blue Blue Orange Orange Yellow Yellow Red Red Blue Blue Purple Purple Red Red Gray Gray Gray Gray\nBlack Black Black Black Black Black Yellow Yellow Red Red Pink Pink Green Green Purple Purple Green Green Orange Orange Purple Purple Gray Gray\nBlack Black Black Black Black Black Yellow Yellow Red Red Pink Pink Green Green Purple Purple Green Green Orange Orange Purple Purple Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\n\nOutput:\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black\nBlack Black Brown 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 Pink Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Black Brown Black Black\nBlack Black Black Black Purple Black Pink Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBrown Black Black Black Brown Black Black Black\nBlack Brown Black Brown Black Black Black Pink\nOrange Black Brown Black Black Black Pink Black\nBlack Orange Black Brown Black Pink Black Orange\nPink Black Orange Black Pink Black Orange Black\nBlack Pink Black Orange Black Orange Black Pink\nPurple Black Pink Black Orange Black Pink Black\nBlack Purple Black Pink Black Orange Black Brown\nPink Black Purple Black Pink Black Brown Black\nBlack Orange Black Purple Black Pink Black Pink\nOrange Black Pink Black Brown Black Pink Black\nBlack Pink Black Brown Black Pink Black Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Green Black\nYellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPurple Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGray Black Black Black Blue Black Black\nBlack Black Black Black Black Brown Black\n\nOutput:\nBlack Yellow Black Black Black Green Black\nYellow Black Black Black Green Black Green\nBlack Yellow Black Green Black Gray Gray\nBlack Black Green Black Gray Gray Black\nBrown Green Black Gray Gray Black Black\nGreen Brown Gray Gray Yellow Black Black\nBlack Gray Brown Black Black Yellow Blue\nGray Gray Gray Brown Black Blue Yellow\nGray Black Black Gray Brown Black Brown\nBlack Gray Black Blue Gray Brown 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 Brown Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGreen Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBrown Black Black Black Black Black Brown\nPurple Brown Black Black Black Brown Black\nBlack Purple Brown Black Brown Black Black\nBlack Black Purple Brown Black Black Black\nGray Black Brown Purple Brown Black Black\nBlack Gray Black Black Purple Brown Purple\nBrown Black Gray Black Black Purple Brown\nBlack Green Black Gray Purple Black Purple\nBlack Black Green Purple Gray Black Gray\nBlack Black Purple Green Black Gray Black\nBlack Purple Black Black Gray Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Gray Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Blue Brown Black Black Black Black Gray Black\nPink Pink Blue Brown Black Black Gray Black Blue\nBlack Pink Pink Blue Brown Gray Black Blue Pink\nGray Black Pink Pink Blue Brown Blue Pink Black\nBrown Gray Black Pink Pink Blue Brown Black Brown\nBlack Brown Gray Black Blue Pink Blue Brown Black\nBlack Gray Brown Blue Pink Pink Pink Blue Brown\nGray Black Blue Pink Gray Brown Pink Brown Blue\nBlack Blue Pink Black Brown Gray Brown 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 Purple Yellow Black Black Black Black Black Black\nGray Black Green Orange Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Purple Pink\nBlack Black Red Black Black Pink Red Black Black Black\nBlack Orange Yellow Black Pink Black Black Orange Black Orange\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Green Blue Purple Orange Black Red Orange Yellow Blue\nPink Black Orange Green Black Black Black Purple Black Black\n\nOutput:\nPink Black Black Black Black Black Gray Black\nBlack Green Black Orange Black Black Black Black\nOrange Blue Black Yellow Red Black Green Purple\nGreen Purple Black Black Black Black Orange Yellow\nBlack Orange Black Pink Black Black Purple Black\nBlack Black Black Black Pink Black Black Black\nBlack Red Black Black Red Black Black Black\nPurple Orange Black Orange Black Brown Black Black\nBlack Yellow Blue Black Black Purple Black Black\nBlack Blue Black Orange Black Pink Black Black\n\n\nExample 2\nInput:\nBrown Purple Black Gray Blue Black Black\nBrown Blue Black Red Purple Black Black\nBlack Orange Black Purple Black Black Purple\nBlack Black Pink Black Pink Black Black\nBrown Black Gray Brown Pink Green Purple\nRed Green Black Black Blue Pink Black\nBlack Black Purple Black Brown Green Green\nRed Orange Blue Black Red Black Black\nBlack Pink Black Black Black Black Black\nBlack Purple Blue Yellow Black Black Black\n\nOutput:\nBlack Black Red Black Red Brown Black Black Brown Brown\nPurple Pink Orange Black Green Black Black Orange Blue Purple\nBlue Black Blue Purple Black Gray Pink Black Black Black\nYellow Black Black Black Black Brown Black Purple Red Gray\nBlack Black Red Brown Blue Pink Pink Black Purple Blue\nBlack Black Black Green Pink Green Black Black Black Black\nBlack Black Black Green Black Purple Black Purple Black Black\n\n\nExample 3\nInput:\nBlack Orange Black Black Black Blue Green\nGray Black Black Yellow Gray Black Yellow\nPink Gray Black Blue Blue Black Black\nBlack Brown Black Brown Black Black Black\nBlack Black Brown Orange Brown Black Black\nBlack Purple Brown Black Black Black Black\nBlack Green Black Black Black Brown Pink\nBlack Yellow Black Black Black Gray Red\nBlack Black Gray Blue Black Black Purple\n\nOutput:\nBlack Black Black Black Black Black Pink Gray Black\nBlack Yellow Green Purple Black Brown Gray Black Orange\nGray Black Black Brown Brown Black Black Black Black\nBlue Black Black Black Orange Brown Blue Yellow Black\nBlack Black Black Black Brown Black Blue Gray Black\nBlack Gray Brown Black Black Black Black Black Blue\nPurple Red Pink Black Black Black Black Yellow Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Gray Black\nBlack Blue Green Blue Black Orange Pink Blue Gray\nGray Black Red Black Black Yellow Black Purple Black\nBlack Pink Black Black Orange Brown Brown Pink Green\nBlue Black Purple Brown Blue Orange Black Black Pink\nBlack Yellow Black Red Yellow Black Black Black Gray\nBlack Purple Purple Black Purple Black Gray Black Black\nBlack Black Brown Purple Black Red Gray Pink Brown\nGray Orange Black Black Yellow Black Yellow Black Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black Black Black Blue Black Gray Black Black\nOrange Black Purple Yellow Black Pink Black Blue Black\nBlack Brown Purple Black Purple Black Red Green Black\nBlack Purple Black Red Brown Black Black Blue Black\nYellow Black Purple Yellow Blue Orange Black Black Black\nBlack Red Black Black Orange Brown Yellow Orange Black\nYellow Gray Gray Black Black Brown Black Pink Black\nBlack Pink Black Black Black Pink Purple Blue Gray\nPurple Brown Black Gray Pink Green Black Gray Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Green Yellow Green Green Green Green\nGreen Yellow Blue Red Green Green Green Green\nGreen Blue Blue Yellow Red Yellow Green Yellow\nRed Blue Red Blue Blue Green Blue Blue\nBlue Red Green Red Green Blue Yellow Red\nGreen Yellow Yellow Green Red Green Red Green\nGreen Blue Green Green Red Yellow Blue Blue\nRed Green Green Green Blue Green Green Blue\n\nOutput:\nBlue Yellow Yellow Green Blue Yellow Yellow Red\nYellow Green Red Blue Green Green Red Red\nYellow Yellow Red Yellow Blue Green Green Yellow\nYellow Yellow Yellow Blue Green Red Blue Red\nGreen Blue Blue Yellow Green Blue Yellow Yellow\nYellow Red Yellow Green Yellow Red Yellow Yellow\nYellow Green Blue Red Green Yellow Yellow Yellow\nGreen Green Yellow Blue Green Red Yellow Yellow\n\n\nExample 2\nInput:\nGreen Yellow Green Green Green Yellow Blue\nGreen Green Green Blue Red Green Red\nGreen Blue Red Yellow Yellow Yellow Yellow\nYellow Red Red Green Green Red Red\nRed Red Yellow Red Yellow Blue Blue\nRed Blue Green Red Blue Red Red\nBlue Green Blue Green Yellow Red Yellow\n\nOutput:\nGreen Blue Blue Red Yellow Yellow Yellow\nYellow Green Blue Blue Green Yellow Red\nGreen Yellow Red Blue Blue Yellow Yellow\nYellow Blue Blue Yellow Red Green Yellow\nRed Green Red Yellow Red Blue Yellow\nBlue Blue Green Blue Red Yellow Red\nRed Blue Green Blue Red Blue Green\n\n\nExample 3\nInput:\nYellow Red Red Blue Red Yellow Green Blue Yellow\nBlue Yellow Red Green Blue Green Blue Blue Yellow\nBlue Yellow Blue Yellow Blue Red Yellow Green Green\nRed Blue Yellow Red Red Yellow Green Red Green\nGreen Green Yellow Yellow Blue Red Blue Blue Blue\nRed Green Yellow Blue Yellow Green Red Green Red\nBlue Blue Blue Blue Green Yellow Yellow Yellow Red\n\nOutput:\nGreen Blue Yellow Blue Green Green Red\nGreen Yellow Yellow Green Red Red Blue\nGreen Red Red Red Green Blue Blue\nGreen Green Red Blue Red Yellow Green\nYellow Red Green Blue Green Green Blue\nRed Yellow Blue Red Blue Yellow Red\nRed Blue Green Yellow Red Green Yellow\nRed Yellow Green Blue Yellow Green Green\nBlue Blue Green Yellow Yellow Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlue Yellow Blue Green Red Yellow Yellow Yellow Green\nGreen Yellow Red Green Red Green Red Blue Blue\nGreen Red Green Green Yellow Yellow Green Red Green\nYellow Yellow Blue Red Blue Blue Blue Blue Red\nBlue Red Red Yellow Yellow Blue Blue Green Green\nRed Yellow Yellow Green Red Yellow Yellow Blue Blue\nBlue Green Blue Yellow Red Yellow Red Blue Red\nBlue Yellow Red Blue Red Red Green Yellow Red\nRed Yellow Blue Green Red Blue Red 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 Green Green Blue Green Red Yellow Yellow Green\nRed Red Yellow Red Blue Red Blue Red Red\nGreen Blue Green Red Blue Green Yellow Blue Green\nYellow Green Red Yellow Red Blue Yellow Yellow Yellow\nBlue Blue Blue Blue Red Green Red Blue Blue\nGreen Blue Red Red Green Green Red Yellow Red\nBlue Yellow Blue Red Green Green Yellow Blue Red\nGreen Red Green Green Yellow Green Blue Green Red\nGreen Blue Blue Green Yellow Blue Yellow Green Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Purple Purple\nGray Orange Green Brown\nRed Yellow Green Brown\nYellow Yellow Yellow Yellow\n\nOutput:\nOrange Orange Purple Purple Purple Purple Orange Orange\nGray Orange Green Brown Brown Green Orange Gray\nRed Yellow Green Brown Brown Green Yellow Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Yellow Green Brown Brown Green Yellow Red\nGray Orange Green Brown Brown Green Orange Gray\nOrange Orange Purple Purple Purple Purple Orange Orange\n\n\nExample 2\nInput:\nRed Brown Brown Gray Yellow\nGray Orange Brown Gray Yellow\nGray Yellow Green Green Green\nPurple Brown Blue Pink Yellow\nOrange Purple Blue Pink Pink\n\nOutput:\nRed Brown Brown Gray Yellow Yellow Gray Brown Brown Red\nGray Orange Brown Gray Yellow Yellow Gray Brown Orange Gray\nGray Yellow Green Green Green Green Green Green Yellow Gray\nPurple Brown Blue Pink Yellow Yellow Pink Blue Brown Purple\nOrange Purple Blue Pink Pink Pink Pink Blue Purple Orange\nOrange Purple Blue Pink Pink Pink Pink Blue Purple Orange\nPurple Brown Blue Pink Yellow Yellow Pink Blue Brown Purple\nGray Yellow Green Green Green Green Green Green Yellow Gray\nGray Orange Brown Gray Yellow Yellow Gray Brown Orange Gray\nRed Brown Brown Gray Yellow Yellow Gray Brown Brown Red\n\n\nExample 3\nInput:\nOrange Orange Purple Brown Orange\nBlue Orange Brown Brown Purple\nBlue Gray Red Red Red\nGray Gray Red Blue Gray\nGray Brown Yellow Gray Pink\n\nOutput:\nOrange Orange Purple Brown Orange Orange Brown Purple Orange Orange\nBlue Orange Brown Brown Purple Purple Brown Brown Orange Blue\nBlue Gray Red Red Red Red Red Red Gray Blue\nGray Gray Red Blue Gray Gray Blue Red Gray Gray\nGray Brown Yellow Gray Pink Pink Gray Yellow Brown Gray\nGray Brown Yellow Gray Pink Pink Gray Yellow Brown Gray\nGray Gray Red Blue Gray Gray Blue Red Gray Gray\nBlue Gray Red Red Red Red Red Red Gray Blue\nBlue Orange Brown Brown Purple Purple Brown Brown Orange Blue\nOrange Orange Purple Brown Orange Orange Brown Purple Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nPink Blue Purple\nBlue Blue Yellow\nBlue Pink Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Blue Purple Purple Blue Pink\nBlue Blue Yellow Yellow Blue Blue\nBlue Pink Red Red Pink Blue\nBlue Pink Red Red Pink Blue\nBlue Blue Yellow Yellow Blue Blue\nPink Blue Purple Purple 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 Brown Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBrown Blue Brown Black Black Black Black Black Black Black Black Black Purple Blue Purple Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Gray Gray Green Green Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Purple Blue Gray Black Black Black Black Black Black Black Brown Purple Brown Black Black Black Black Black Black Black Black\nBlack Black Black Purple Red Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Blue Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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:\nRed Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Gray Blue Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black 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 Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue 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 Black Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Blue Black Black Black Purple Purple Gray Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nPurple Red Blue Black Black Black Purple Purple Black Black Black Yellow Blue Yellow Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Gray 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Red Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Gray Yellow 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Red Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBrown Green Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Green Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Brown\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Gray Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Blue Gray\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Blue Orange Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Green Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Green Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack Black Black Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink 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 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 Pink Pink Pink 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 Pink Pink Pink Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\n\nOutput:\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\nRed Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Pink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Pink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Pink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Pink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Pink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Pink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Yellow Yellow Yellow 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 Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown 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 Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow 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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Red Red Red\nBlack 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 Red Red Red\nBlack 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 Red Red Red\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Red Red Red Black Black Black\n\nOutput:\nRed Red Red Red Red Red Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red\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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black 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 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 Purple Purple Purple Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Purple Purple Purple Red Red Red Red Red Red Green Green Green Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Purple Purple Purple Red Red Red Red Red Red Green Green Green Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Purple Purple Purple Red Red Red Red Red Red Green Green Green Red Red Red Red Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red\nPurple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red\nPurple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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\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\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red 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 Red Red Red Red 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 Red Red Red Red 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 Red Red Red Red 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 Red Red Red Red 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 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\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\nGreen Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Red Red Red\nGreen Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Red Red Red\nGreen Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Red Red Red\nGreen Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nGreen Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nGreen Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red\nGreen Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Red Red Red\nGreen Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Red Red Red\nGreen Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray 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\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\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\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\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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black\nBlack Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black\nBlack Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black\nBlack Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black\nBlack Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black\nBlack Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black\nBlack Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Red Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Red Red Red Red Red Red Red Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Red Red Red Red Red Red Red Red Blue Black Black Black Black Black Black Black\nBlack Black Blue Red Red Red Red Red Red Red Red Red Blue Black Black Black Black Black Black Black\nBlack Black Blue Red Red Red Red Red Red Red Red Red Blue Black Black Black Black Black Black Black\nBlack Blue Red Red Red Red Red Red Red Red Red Red Red Blue Black Black Black Black Black Black\nBlack Black Blue Red Red Red Red Red Red Red Red Red Blue Black Black Black Black Black Black Black\nBlack Black Blue Red Red Red Red Red Red Red Red Red Blue Black Black Black Black Black Black Black\nBlack Black Blue Red Red Red Red Red Red Red Red Red Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Red Red Red Red Red Red Red Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Red Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black\nBlack Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black\nBlack Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black\nBlack Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black\nBlack Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black\nBlack Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black\nBlack Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Red Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Red Red Red Red Red Red Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Red Red Red Red Red Red Red Red Blue Black Black Black Black Black\nBlack Black Black Black Blue Red Red Red Red Red Red Red Red Red Blue Black Black Black Black Black\nBlack Black Black Black Blue Red Red Red Red Red Red Red Red Red Blue Black Black Black Black Black\nBlack Black Black Blue Red Red Red Red Red Red Red Red Red Red Red Blue Black Black Black Black\nBlack Black Black Black Blue Red Red Red Red Red Red Red Red Red Blue Black Black Black Black Black\nBlack Black Black Black Blue Red Red Red Red Red Red Red Red Red Blue Black Black Black Black Black\nBlack Black Black Black Blue Red Red Red Red Red Red Red Red Red Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Red Red Red Red Red Red Red Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Red Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Red Red Red Red Red Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Red Red Red Red Red Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Red Red Red Red Red Red Red Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Red Red Red Red Red Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Red Red Red Red Red Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Yellow Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Yellow Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Red Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Red Red Red Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Red Red Red Red Red Red Red Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Red Red Red Red Red Red Red Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Red Red Red Red Red Red Red Red Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Red Red Red Red Red Red Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Red Red Red Red Red Red Red Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Red Red Red Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Red Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Orange Orange Black\nYellow Yellow Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Purple Purple Black Black\nBlack Black Black Pink Pink Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Orange Orange Black\nGreen Green Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Purple Purple Black Black\nBlack Black Black Pink Pink Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nPurple Purple Black Purple Purple Black Black Black Black Black\nPurple Purple Black Purple Purple Black Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Gray Gray Green Black Black\nBlack Yellow Yellow Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nPurple Purple Black Purple Purple Black Black Black Black Black\nPurple Purple Black Purple Purple Black Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Green Green Green Black Black\nBlack Yellow Yellow Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Yellow Yellow Black Black Yellow Yellow Black Black Black\nBlack Yellow Yellow Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Blue Blue\nBlack Black Black Pink Pink Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black\n\nOutput:\nBlack Yellow Yellow Black Black Yellow Yellow Black Black Black\nBlack Yellow Yellow Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Green Green\nBlack Black Black Pink Pink Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Red 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 Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Green Black Black Black Black\nPurple Purple 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 Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Green Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Black Yellow Black Black Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Black Black Black Yellow Black Black Yellow Yellow Black Yellow Black Black Black Black\nBlack Black Yellow Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Yellow Black Yellow Black Black\nBlack Black Yellow Black Black Black Yellow Black Black Black Black Yellow Yellow Yellow Black Yellow Black Yellow Black\nBlack Black Black Yellow Black Black Yellow Yellow Black Black Yellow Black Black Black Yellow Black Black Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Black Black Black Black Yellow Yellow Black Yellow\nBlack Black Black Black Black Black Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Black Black\nYellow Black Black Black Yellow Black Black Yellow Black Black Black Black Yellow Black Yellow Yellow Black Black Black\nYellow Yellow Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Black Yellow Black\nBlack Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Black\nYellow Black Yellow Black Black Yellow Yellow Yellow Black Yellow Black Black Yellow Black Yellow Black Black Yellow Black\nYellow Black Black Black Yellow Black Yellow Black Yellow Black Black Black Yellow Yellow Yellow Black Black Yellow Black\nBlack Black Black Yellow Yellow Black Yellow Yellow Yellow Black Black Black Black Black Yellow Black Black Yellow Black\nBlack Yellow Yellow Yellow Black Black Black Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow\nBlack Black Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Black Black Black Black Yellow Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Yellow Black Yellow Yellow Black Black Black Black Black Black Black Yellow\n\nOutput:\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Brown Brown Black Brown Black Black Black Black Black Brown\nBlack Black Brown Black Brown Black Black Brown Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Brown Black Brown Black Black Black Brown Black\nBlack Black Black Black Brown Black Black Black Brown Black Black Black\nBlack Brown Brown Black Brown Black Brown Black Brown Black Black Black\nBrown Black Black Black Brown Brown Black Brown Black Black Black Black\nBrown Brown Black Black Brown Black Black Brown Brown Brown Black Brown\nBlack Brown Black Black Black Black Brown Brown Black Brown Black Black\nBlack Black Brown Brown Black Black Brown Brown Brown Black Black Brown\nBlack Black Black Brown Black Black Brown Black Brown Black Black Brown\nBlack Black Black Black Black Brown Black Black Brown Black Brown 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:\nRed Black Red Red Red Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Red Black Black Red\nBlack Red Black Red Black Red Black Red Red Black Black Black Red Red\nRed Black Black Black Black Black Black Black Black Black Black Red Black Red\nBlack Black Black Black Red Red Black Red Red Red Black Red Black Black\nRed Black Red Black Black Red Black Black Black Black Black Black Red Black\nBlack Black Red Black Black Red Red Black Black Black Red Black Black Black\nBlack Red Black Red Red Black Black Black Black Red Black Red Black Red\nBlack Black Black Red Red Black Black Red Black Red Black Black Red Black\nRed Black Red Black Black Black Red Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Red\nRed Black Red Black Black Black Black Red Black Red Black Black Red Black\nRed Red Black Black Red Black Red Black Black Black Red Black Red Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Red Black Red Black Black Black Red Black Red Black Black Red Red Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Red Black Black Red Black Black Red Black Red Black\nBlack Black Red Black Black Black Black Black Red Red Black Red Red Black Red Red Red Black Red Black\nBlack Red Red Black Black Red Red Black Red Red Red Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Red Black Red Red Black Red Black Red Red Red Black Red Red Red Black Black\nRed Red Black Black Red Black Red Black Black Red Black Black Red Red Black Red Red Black Black Black\nRed Red Black Black Red Black Black Red Red Black Red Red Black Black Red Black Red Black Black Red\nBlack Black Black Black Red Black Red Red Black Black Black Black Black Black Red Black Red Black Red Red\nBlack Red Black Red Black Black Black Red Red Red Red Black Black Red Black Black Black Black Black Red\nBlack Black Black Red Black Black Red Black Black Red Red Red Black Black Red Black Black Red Black Black\nBlack Red Red Black Black Black Black Red Red Black Black Black Black Red Black Black Red Black Red Red\nBlack Black Red Red Black Black Black Black Black Black Black Red Black Black Black Red Black Red Black Black\nRed Red Red Black Black Red Red Red Red Black Red Black Black Black Red Black Red Red Black Red\nBlack Red Red Black Red Red Red Black Black Black Black Red Black Red Black Black Black Red Black Red\nRed Black Black Black Black Red Red Black Black Red Red Red Red Black Red Red Black Black Black Black\nBlack Red Red Red Black Red Black Black Red Black Red Black Black Black Black Black Black Red Red Red\nBlack Red Black Red Black Red Red Red Red Red Black Red Red Black Black Red Black Red Red Red\nBlack Black Black Black Red Black Red Red Red Red Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Red Red Black Red Black Red Black Black Red Black Red Black Black Red Black Red\nBlack Red Black Black Black Black Black Red Red Black Black Black Red Black Black Red Red Red 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```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Orange Black Black Black Black\nBlack Brown Black Yellow Black Black Black Black\nBlack Black Blue Black Green Black Orange Blue\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Brown Black Black Black Blue\nBlack Black Red Brown Black Purple Black Black\nBlue Black Black Black Black Black Black Black\nBlack Orange Purple Black Brown Pink Yellow Black\nBlack Purple Pink Black Yellow Black Black Black\nBlack Purple Black Black Black Purple Black Black\nBlack Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Red Black Black Black Black\nBlack Green Black Red Black Black Black Black\nBlack Black Green Black Yellow Black Red Green\nBlack Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Green\nBlack Black Yellow Green Black Green Black Black\nGreen Black Black Black Black Black Black Black\nBlack Red Green Black Green Blue Red Black\nBlack Green Blue Black Red Black Black Black\nBlack Green Black Black Black Green Black Black\nBlack Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Blue Black Black Black Black Black\nBlack Black Gray Black Black Black Purple\nPurple Black Black Black Black Black Black\nBlack Blue Black Black Black Brown Brown\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black\nBlue Black Black Black Blue Yellow Black\nBlack Green Black Black Black Black Black\nBlack Black Black Green Pink Black Black\nBlack Gray Black Purple Black Black Black\n\nOutput:\nBlack Green Black Black Black Black Black\nBlack Black Blue Black Black Black Red\nRed Black Black Black Black Black Black\nBlack Green Black Black Black Blue Blue\nBlack Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black\nGreen Black Black Black Green Yellow Black\nBlack Blue Black Black Black Black Black\nBlack Black Black Blue Yellow Black Black\nBlack Blue Black Red Black Black Black\n\n\nExample 3\nInput:\nGreen Blue Purple Black Blue Black Black\nBlack Orange Black Black Black Black Black\nBlack Black Black Black Black Green Pink\nBrown Yellow Orange Black Black Black Black\nBlack Gray Black Black Gray Black Green\nBlack Black Black Black Black Black Black\nBlack Pink Black Black Blue Black Black\nBlack Green Brown Black Black Pink Pink\nBlack Black Gray Black Black Black Black\nBlack Black Black Black Green Black Black\nBlack Black Green Black Black Blue Brown\n\nOutput:\nGreen Green Yellow Black Green Black Black\nBlack Blue Black Black Black Black Black\nBlack Black Black Black Black Green Green\nRed Yellow Blue Black Black Black Black\nBlack Red Black Black Red Black Green\nBlack Black Black Black Black Black Black\nBlack Green Black Black Green Black Black\nBlack Green Red Black Black Green Green\nBlack Black Red Black Black Black Black\nBlack Black Black Black Green Black Black\nBlack Black Green Black Black Green Red\n\n\nHere is the input grid for the test example:\nInput:\nBrown Yellow Black Black Black Black Black Orange Black\nBlack Black Purple Black Black Black Black Purple Black\nBrown Green Black Black Black Brown Red Black Yellow\nBlack Black Orange Pink Green Black Red Green Gray\nOrange Black Purple Purple Black Orange Black Black Red\nBlue Black Black Black Black Black Black Gray Gray\nBlack Pink Black Brown Pink Black Red Black Gray\nBlack Gray Pink Black Purple Black Black Black Yellow\nBlack Black Gray Black Black Pink Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Red Black Black Black Black Black Green Black\nBlack Black Green Black Black Black Black Green Black\nGreen Red Black Black Black Green Green Black Red\nBlack Black Green Green Red Black Green Red Green\nGreen Black Green Green Black Green Black Black Green\nYellow Black Black Black Black Black Black Green Green\nBlack Green Black Green Green Black Green Black Green\nBlack Green Green Black Green Black Black Black Red\nBlack Black Green Black Black Green Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Black Black Black Black Black Blue\nBlack Black Green Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Pink Green Blue Blue Blue Black\nBlack Brown Black Black Black Black Black\nPurple Black Black Black Black Black Gray\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Purple Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Orange Gray Gray Gray Gray Gray Blue Gray\nPurple Purple Purple Purple Purple Purple Purple Gray Green Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Gray Green Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Pink Green Blue Blue Blue Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Brown Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nRed Black Black Black Black Purple\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\nGray Black Black Black Black Pink\n\nOutput:\nRed Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Pink Pink Gray Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Blue Purple\nGray Gray Gray Gray Gray Gray Pink Pink Brown Brown Gray Yellow\nGray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Red\nGray Gray Gray Gray Gray Gray Pink Pink Brown Brown Gray Yellow\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Blue Purple\nGray Gray Gray Gray Gray Gray Pink Gray Pink Pink Pink Pink\n\n\nExample 3\nInput:\nPink Black Black Black Black Black Red\nBlack Pink Pink Pink Orange Black Black\nBlack Pink Brown Black Orange Blue Black\nBlack Red Red Black Yellow Black Black\nBlack Red Red Green Black Black Black\nBlack Black Red Black Black Black Black\nPurple Black Black Black Black Black Brown\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple Purple Pink Brown Brown Brown Brown Brown Red\nPurple Purple Purple Purple Purple Purple Purple Brown Pink Pink Pink Orange Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Brown Pink Brown Brown Orange Blue Brown\nPurple Purple Purple Purple Purple Purple Purple Brown Red Red Brown Yellow Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Brown Red Red Green Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Brown Brown Red Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlue Black Black Black Orange\nBlack Brown Orange Green Black\nBlack Green Green Black Black\nBlack Brown Orange Green Black\nYellow Black Black Black Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Blue Brown Brown Brown Orange\nYellow Yellow Yellow Yellow Yellow Brown Brown Orange Green Brown\nYellow Yellow Yellow Yellow Yellow Brown Green Green Brown Brown\nYellow Yellow Yellow Yellow Yellow Brown Brown Orange Green Brown\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Green Green 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\nBlack Black Black Black Black Black Green Green Green Green Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Green Green Green Green Black Black 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 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\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 Green Green 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\nBlack Black Black Black Black Black Green Green Green Green Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Green Green Green Green Black Black 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 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\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 Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow 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\nBlack Black Black Black Black Green Green Green Green Green Black Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Green Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black\nGreen Green Green Green Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Green Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Green Black Black Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Green Black Black Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Green Black Black Black Black Black\nBlack Black Green Green Green Yellow Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Red Gray Gray Black\nBlack Red Pink Gray Black\nBlack Purple Gray Gray Black\nBlack Black Black Black Black\n\nOutput:\nPurple Purple Gray Gray Gray Gray\nPurple Purple Gray Gray Gray Gray\nRed Red Pink Pink Gray Gray\nRed Red Pink Pink Gray Gray\nRed Red Gray Gray Gray Gray\nRed Red Gray Gray Gray Gray\nRed Red Gray Gray Gray Gray\nRed Red Gray Gray Gray Gray\nRed Red Pink Pink Gray Gray\nRed Red Pink Pink Gray Gray\nPurple Purple Gray Gray Gray Gray\nPurple Purple Gray Gray Gray Gray\nRed Red Gray Gray Gray Gray\nRed Red Gray Gray Gray Gray\nRed Red Pink Pink Gray Gray\nRed Red Pink Pink Gray Gray\nPurple Purple Gray Gray Gray Gray\nPurple Purple Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Brown Pink Brown Black\nBlack Blue Brown Blue Black\nBlack Purple Brown Purple Black\nBlack Black Black Black Black\n\nOutput:\nPurple Purple Brown Brown Purple Purple\nPurple Purple Brown Brown Purple Purple\nBlue Blue Brown Brown Blue Blue\nBlue Blue Brown Brown Blue Blue\nBrown Brown Pink Pink Brown Brown\nBrown Brown Pink Pink Brown Brown\nBrown Brown Pink Pink Brown Brown\nBrown Brown Pink Pink Brown Brown\nBlue Blue Brown Brown Blue Blue\nBlue Blue Brown Brown Blue Blue\nPurple Purple Brown Brown Purple Purple\nPurple Purple Brown Brown Purple Purple\nBrown Brown Pink Pink Brown Brown\nBrown Brown Pink Pink Brown Brown\nBlue Blue Brown Brown Blue Blue\nBlue Blue Brown Brown Blue Blue\nPurple Purple Brown Brown Purple Purple\nPurple Purple Brown Brown Purple Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Brown Green Green Black\nBlack Pink Green Pink Black\nBlack Blue Blue Gray Black\nBlack Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Gray Gray\nBlue Blue Blue Blue Gray Gray\nPink Pink Green Green Pink Pink\nPink Pink Green Green Pink Pink\nBrown Brown Green Green Green Green\nBrown Brown Green Green Green Green\nBrown Brown Green Green Green Green\nBrown Brown Green Green Green Green\nPink Pink Green Green Pink Pink\nPink Pink Green Green Pink Pink\nBlue Blue Blue Blue Gray Gray\nBlue Blue Blue Blue Gray Gray\nBrown Brown Green Green Green Green\nBrown Brown Green Green Green Green\nPink Pink Green Green Pink Pink\nPink Pink Green Green Pink Pink\nBlue Blue Blue Blue Gray Gray\nBlue Blue Blue Blue Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Yellow Yellow Pink Black\nBlack Yellow Orange Yellow Black\nBlack Blue Yellow Yellow Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Yellow Yellow Yellow Yellow\nBlue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Orange Orange Yellow Yellow\nYellow Yellow Orange Orange Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Orange Orange Yellow Yellow\nYellow Yellow Orange Orange Yellow Yellow\nBlue Blue Yellow Yellow Yellow Yellow\nBlue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Orange Orange Yellow Yellow\nYellow Yellow Orange Orange Yellow Yellow\nBlue Blue Yellow Yellow Yellow Yellow\nBlue Blue Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\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 Blue Black\nBlack Black Black Blue Blue Yellow Orange Orange Black Blue Black\nBlack Black Black Green Black Black Blue Black Orange Orange Black\nBlack Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlue Orange Yellow Blue Blue Black Black Black Black Black Black\nBlue Blue Purple Black Green Black Black Black Black Black Black\nOrange Orange Purple Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Blue Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack 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\nBlue Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Blue Black Black Black Black Black Black\nBlack Blue Black Blue Blue Black Black Black\nBlack Black Brown Gray Gray Black Black Black\nBlack Green Brown Gray Gray Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Black Black Black Black Black Black\nBlue Gray Brown Black Black Black Black Black\nGray Gray Brown Green Black Black Black Black\nBlack Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue 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 Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\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\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\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\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\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\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\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\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\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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 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 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 Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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:\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\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\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\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\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\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\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\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\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\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\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\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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 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 Gray Gray Gray\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\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\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\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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Green Green\nBlack Black Black Green Green Green Black Black Green Black\nBlack Black Black Green Green Green Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\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 Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Yellow Black Black Black Green Green\nBlack Black Black Brown Brown Yellow Black Black Green Green\nBlack Black Black Brown Brown Brown Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Pink Pink Black Orange Orange Orange\nBlack Black Orange Black Black Pink Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nYellow Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Red Red Yellow Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Pink Pink Pink Pink Pink Pink Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Pink Pink Pink Pink Pink Pink Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Pink Pink Pink Pink Pink Pink Pink Pink Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Pink Pink Pink Pink Pink Pink Pink Pink Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Pink Pink Pink Pink Pink Pink Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Pink Pink Pink Pink Pink Pink Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Pink Pink Pink Pink Pink Pink Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Pink Pink Pink Pink Pink Pink Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Orange Orange Orange Orange Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Orange Orange Orange Orange Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Orange Orange Orange Orange Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Orange Orange Orange Orange Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Orange Orange Orange Orange Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Orange Orange Orange Orange Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Orange Orange Orange Orange Orange Orange Orange Orange Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Orange Orange Orange Orange Orange Orange Orange Orange Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Orange Orange Orange Orange Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Orange Orange Orange Orange Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Gray Gray Gray Gray Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Gray Gray Gray Gray Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Gray Gray Gray Gray Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Gray Gray Gray Gray Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Blue Blue Blue Blue Blue Blue Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Blue Blue Blue Blue Blue Blue Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Blue Blue Blue Blue Blue Blue Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Blue Blue Blue Blue Blue Blue Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink 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 Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink 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 Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Black Black Orange Black Orange Black Black Black Orange Orange\nBlack Orange Orange Black Yellow Black Yellow Black Black Black Black\nOrange Orange Orange Yellow Black Yellow Black Black Orange Black Orange\nBlack Orange Black Black Yellow Black Yellow Orange Black Orange Black\nBlack Orange Orange Yellow Black Yellow Black Orange Black Black Black\nOrange Black Black Orange Black Black Black Orange Black Orange Orange\nOrange Orange Orange Orange Orange Orange Black Orange Black Orange Black\nBlack Black Orange Black Orange Black Orange Orange Orange Orange Orange\nOrange Orange Black Orange Orange Black Orange Black Black Orange Black\n\nOutput:\nOrange Black Black Orange Black Orange Black Black Black Orange Orange\nBlack Orange Orange Black Red Black Red Black Black Black Black\nOrange Orange Orange Red Black Red Black Black Orange Black Orange\nBlack Orange Black Black Red Black Red Orange Black Orange Black\nBlack Orange Orange Red Black Red Black Orange Black Black Black\nOrange Black Black Orange Black Black Black Orange Black Orange Orange\nOrange Orange Orange Orange Orange Orange Black Orange Black Orange Black\nBlack Black Orange Black Orange Black Orange Orange Orange Orange Orange\nOrange Orange Black Orange Orange Black Orange Black Black Orange Black\n\n\nExample 2\nInput:\nBlack Orange Orange Orange Black Black Orange Black Orange\nBlack Orange Black Orange Black Black Orange Orange Black\nBlack Black Black Black Black Black Orange Orange Black\nOrange Orange Orange Orange Black Yellow Black Yellow Orange\nOrange Black Black Orange Yellow Black Yellow Black Black\nBlack Black Orange Black Black Yellow Black Yellow Orange\nOrange Black Orange Orange Yellow Black Yellow Black Black\nOrange Orange Black Black Orange Black Orange Orange Black\nOrange Orange Black Orange Black Black Orange Black Black\nBlack Orange Black Orange Orange Orange Black Black Orange\n\nOutput:\nBlack Orange Orange Orange Black Black Orange Black Orange\nBlack Orange Black Orange Black Black Orange Orange Black\nBlack Black Black Black Black Black Orange Orange Black\nOrange Orange Orange Orange Black Red Black Red Orange\nOrange Black Black Orange Red Black Red Black Black\nBlack Black Orange Black Black Red Black Red Orange\nOrange Black Orange Orange Red Black Red Black Black\nOrange Orange Black Black Orange Black Orange Orange Black\nOrange Orange Black Orange Black Black Orange Black Black\nBlack Orange Black Orange Orange Orange Black Black Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Yellow 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Red Black\nBlack Black Black Black Black Red Black Red Black Black\nBlack Black Black Black Black Black Red Black Red Black\nBlack Black Black Black Black Red Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Black Black Green Green Black\nGreen Black Green Green Green Black Black Green\nBlack Green Green Black Black Black Green Green\nGreen Black Black Black Yellow Black Yellow Green\nGreen Green Green Yellow Black Yellow Black Black\nBlack Black Green Black Yellow Black Yellow Green\nBlack Black Green Yellow Black Yellow Black Black\nGreen Green Green Green 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```\nGreen Green Green Black Black Green Green Black\nGreen Black Green Green Green Black Black Green\nBlack Green Green Black Black Black Green Green\nGreen Black Black Black Red Black Red Green\nGreen Green Green Red Black Red Black Black\nBlack Black Green Black Red Black Red Green\nBlack Black Green Red Black Red Black Black\nGreen Green Green Green 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:\nPurple Orange Blue Blue Purple Yellow Blue Blue Pink Gray Brown Blue\nBrown Orange Red Pink Orange Purple Purple Red Brown Red Brown Red\nOrange Pink Gray Red Yellow Blue Purple Brown Purple Green Blue Pink\nYellow Gray Yellow Yellow Purple Purple Blue Brown Gray Purple Pink Pink\nGray Purple Orange Green Yellow Yellow Orange Brown Purple Brown Gray Yellow\nPurple Green Green Green Purple Blue Orange Green Orange Orange Red Purple\nYellow Purple Purple Gray Pink Blue Orange Gray Orange Brown Orange Orange\nGreen Green Brown Orange Pink Gray Purple Brown Pink Yellow Pink Orange\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\n\n\nExample 2\nInput:\nYellow Red Purple Purple Purple Brown Brown Red Orange Pink\nOrange Gray Gray Brown Yellow Orange Pink Red Orange Pink\nPurple Yellow Gray Gray Gray Purple Red Purple Blue Pink\nRed Green Blue Orange Pink Purple Purple Blue Yellow Orange\nYellow Yellow Green Green Pink Brown Orange Blue Orange Pink\nBrown Purple Purple Brown Brown Gray Brown Purple Blue Brown\nOrange Red Gray Blue Pink Green Red Blue Yellow Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nPurple Pink Pink Red Brown Green Gray Blue Green Blue Gray\nGreen Orange Blue Purple Pink Brown Brown Yellow Orange Blue Yellow\nYellow Blue Green Yellow Green Blue Green Brown Red Purple Orange\nPurple Blue Blue Gray Green Gray Blue Pink Brown Yellow Brown\nPurple Pink Gray Orange Purple Pink Yellow Red Gray Green Green\nBrown Blue Blue Purple Green Orange Yellow Purple Blue Pink Gray\nGreen Pink Purple Orange Blue Green Red Yellow Yellow Brown Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nYellow Red Pink Green Orange Green Orange Purple Gray\nBlue Orange Yellow Red Blue Purple Red Gray Gray\nYellow Blue Pink Blue Yellow Brown Orange Brown Purple\nPurple Red Green Blue Yellow Purple Purple Orange Brown\nGreen Green Pink Red Orange Gray Green Purple Yellow\nOrange Blue Orange Purple Red Brown Pink Red Blue\nGray Pink Orange Orange Blue Yellow Brown Purple Pink\nPink Pink Orange Brown Brown Pink Gray Pink Gray\nPink Blue Brown Gray Brown Pink Green Gray Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Gray Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Gray 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 Red Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Gray Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Orange Orange Black Black Gray Yellow\nBlack Black Black Black Gray Orange Orange 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 Gray Black Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Yellow Yellow Black Black Gray Blue\nBlack Black Black Black Gray Yellow Yellow Black Black Black\n\n\nExample 3\nInput:\nRed Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Green Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Gray Black\nOrange Black Orange Black Black Gray Black Black Blue Black\nOrange Gray Orange Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Red Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Gray Black\nYellow Black Yellow Black Black Gray Black Black Red Black\nYellow Gray Yellow 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 Gray Gray Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Black Blue Blue Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Gray 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 Gray Gray Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Green Green Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Gray 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:\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Red Red Blue Blue Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Red Red\n\nOutput:\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Blue Blue Red Red Blue Blue Blue Blue Red Red Blue Blue Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Blue Blue Red Red Blue Blue Blue Blue Red Red Blue Blue Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Red Red Red Red Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Red Red Red Red Red Red Blue Blue Red Red Blue Blue Red Red\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red\nRed Red Red Red Red Red Blue Blue\nRed Red Red Red Red Red Blue Blue\nBlue Blue Blue Blue Red Red Blue Blue\nBlue Blue Blue Blue Red Red Blue Blue\n\nOutput:\nBlue Blue Blue Blue Red Red Red Red Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Red Red Red Red 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\nBlue Blue Blue Blue Red Red Red Red Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Red Red Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Red Red Red Red Red Red\nBlue Blue Blue Blue Red Red Blue Blue Blue Blue Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Blue Blue Blue Blue Red Red Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Red Red Red Red Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue\nBlue Blue Blue Blue Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Blue Blue Blue Blue\nRed Red Blue Blue Red Red Red Red Blue Blue\nRed Red Blue Blue Red Red Red Red Blue Blue\nRed Red Blue Blue Blue Blue Red Red Red Red\nRed Red Blue Blue Blue Blue Red Red Red Red\nBlue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Red Red Red Red Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Blue Blue\nRed Red Blue Blue Red Red Red Red Blue Blue Blue Blue Red Red Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Red Red Blue Blue Blue Blue Red Red Red Red Blue Blue Red Red\nRed Red Blue Blue Blue Blue Red Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red\nRed Red Blue Blue Blue Blue Red Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red\nBlue Blue Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Blue Blue\nBlue Blue Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Blue Blue Red Red\nRed Red Blue Blue Red Red\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red\nRed 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 Blue Blue Red Red Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Red Red Blue Blue Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed 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 Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black 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 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 Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\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 Black 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 Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green 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\nBlack Black Black Black Black Black 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 Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black\nBlack Black Black Black Black Black 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 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 Yellow Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Green Green Green Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Green Black 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Brown Brown Pink Pink Pink Black\nBlack Black Brown Brown Pink Pink Pink Black\nBlack Black Black Black Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Purple Black\nBlack Black Black Pink Pink Pink Purple Black\nBlack Black Black Pink Pink Pink Purple Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Brown Brown Pink Pink Pink Blue\nBlue Blue Brown Brown Pink Pink Pink Blue\nBlue Blue Blue Blue Pink Pink Pink Blue\nBlue Blue Blue Pink Pink Pink Purple Blue\nBlue Blue Blue Pink Pink Pink Purple Blue\nBlue Blue Blue Pink Pink Pink Purple Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Red Red Black Black Black\nBlack Red Red Red Black Blue Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Orange Orange Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Red Red Red Blue Blue Blue\nBlue Red Red Red Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black 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 Green Black\nBlack Black Red Red Black Green Black\nBlack Black Red Red Black Green Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Yellow Yellow Yellow Blue Blue\nBlue Blue Yellow Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Green Blue\nBlue Blue Red Red Blue Green Blue\nBlue Blue Red Red Blue Green Blue\nBlue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Brown Black Black Black\nBlack Black Black Brown Black Brown Black Black Black\nBlack Black Black Brown Black Black Pink Black Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Brown Blue Blue Blue\nBlue Blue Blue Blue Blue Brown Blue Blue Blue\nBlue Blue Blue Brown Blue Brown Blue Blue Blue\nBlue Blue Blue Brown Blue Blue Pink Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Blue Blue\nBlue Gray Gray Gray Blue Blue Blue Blue Blue\nBlue Gray Gray Gray Blue Blue Blue Blue Blue\nBlue 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 Red Black\nBlack Black Black Black Black Red Red Black\nBlack Black Black Black Red Red Red Black\nBlack Black Black Black Red Black Black Red\nBlack Black Black Red Red Black Red Red\nBlack Black Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Orange Black\nBlack Black Black Black Black Orange Orange Black\nBlack Black Black Black Orange Orange Orange Black\nBlack Black Black Black Orange Black Black Orange\nBlack Black Black Orange Orange Black Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Blue Blue Black Black Black Black\nBlue Blue Blue Black Black Red Black\nBlack Black Black Black Red Red Black\nBlack Black Black Red Red Red Black\nBlack Black Black Black Black Red Black\nBlack Black Black Red Red Red Red\nBlack Black Red Red Black Red Red\n\nOutput:\nOrange Orange Orange Black Black Black Black\nOrange Orange Orange Black Black Orange Black\nBlack Black Black Black Orange Orange Black\nBlack Black Black Orange Orange Orange Black\nBlack Black Black Black Black Orange Black\nBlack Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Black Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Orange Orange Orange 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 Blue Blue Black Red Black\nBlack Black Black Black Blue Blue Red Red Black\nBlack Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Orange Black\nBlack Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Orange Orange Orange 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 Orange Orange Black\nBlack Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black 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:\nGray Black Black Black Gray\nBlack Brown Black Brown Black\nBlack Black Yellow Black Black\nBlack Brown Black Brown Black\nGray Black Black Black Gray\n\nOutput:\nYellow\n\n\nExample 2\nInput:\nBlue Black Black Black Blue\nBlack Green Black Green Black\nBlack Black Blue Black Black\nBlack Green Black Green Black\nBlue Black Black Black Blue\n\nOutput:\nBlue\n\n\nExample 3\nInput:\nBlue Black Black Black Blue\nBlack Red Black Red Black\nBlack Black Yellow Black Black\nBlack Red Black Red Black\nBlue Black Black Black Blue\n\nOutput:\nYellow\n\n\nHere is the input grid for the test example:\nInput:\nBrown Black Black Black Brown\nBlack Brown Black Brown Black\nBlack Black Green Black Black\nBlack Brown Black Brown Black\nBrown Black Black Black Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Orange Blue Blue Purple Yellow Blue Blue Pink Gray Brown Blue\nBrown Orange Red Pink Orange Purple Purple Red Brown Red Brown Red\nOrange Pink Gray Red Yellow Blue Purple Brown Purple Green Blue Pink\nYellow Gray Yellow Yellow Purple Purple Blue Brown Gray Purple Pink Pink\nGray Purple Orange Green Yellow Yellow Orange Brown Purple Brown Gray Yellow\nPurple Green Green Green Purple Blue Orange Green Orange Orange Red Purple\nYellow Orange Purple Gray Pink Blue Orange Gray Orange Brown Orange Orange\nGreen Green Brown Orange Pink Gray Purple Brown Pink Yellow Pink Orange\n\nOutput:\nGray Gray Blue Blue Gray Yellow Blue Blue Pink Gray Brown Blue\nBrown Gray Red Pink Gray Gray Gray Red Brown Red Brown Red\nGray Pink Gray Red Yellow Blue Gray Brown Gray Green Blue Pink\nYellow Gray Yellow Yellow Gray Gray Blue Brown Gray Gray Pink Pink\nGray Gray Gray Green Yellow Yellow Gray Brown Gray Brown Gray Yellow\nGray Green Green Green Gray Blue Gray Green Gray Gray Red Gray\nYellow Gray Gray Gray Pink Blue Gray Gray Gray Brown Gray Gray\nGreen Green Brown Gray Pink Gray Gray Brown Pink Yellow Pink Gray\n\n\nExample 2\nInput:\nYellow Red Purple Purple Purple Brown Brown Orange Orange Pink\nOrange Gray Gray Brown Yellow Orange Pink Red Orange Pink\nPurple Yellow Gray Pink Gray Purple Red Purple Blue Pink\nRed Green Blue Orange Pink Purple Purple Blue Yellow Orange\nYellow Yellow Green Green Pink Brown Orange Blue Orange Pink\nBrown Purple Purple Brown Brown Gray Brown Purple Blue Brown\nOrange Red Gray Blue Pink Green Red Blue Yellow Orange\n\nOutput:\nYellow Red Gray Gray Gray Brown Brown Gray Gray Pink\nGray Gray Gray Brown Yellow Gray Pink Red Gray Pink\nGray Yellow Gray Pink Gray Gray Red Gray Blue Pink\nRed Green Blue Gray Pink Gray Gray Blue Yellow Gray\nYellow Yellow Green Green Pink Brown Gray Blue Gray Pink\nBrown Gray Gray Brown Brown Gray Brown Gray Blue Brown\nGray Red Gray Blue Pink Green Red Blue Yellow Gray\n\n\nExample 3\nInput:\nPurple Pink Pink Yellow Brown Pink Gray Blue Green Blue Gray\nGreen Orange Blue Purple Pink Brown Brown Yellow Orange Blue Yellow\nYellow Blue Green Yellow Green Blue Green Brown Red Purple Orange\nPurple Blue Blue Gray Green Gray Blue Pink Brown Yellow Brown\nPurple Pink Gray Orange Purple Pink Yellow Red Gray Orange Green\nBrown Blue Blue Purple Green Orange Yellow Purple Blue Pink Gray\nOrange Pink Purple Orange Blue Green Red Yellow Yellow Brown Gray\n\nOutput:\nGray Pink Pink Yellow Brown Pink Gray Blue Green Blue Gray\nGreen Gray Blue Gray Pink Brown Brown Yellow Gray Blue Yellow\nYellow Blue Green Yellow Green Blue Green Brown Red Gray Gray\nGray Blue Blue Gray Green Gray Blue Pink Brown Yellow Brown\nGray Pink Gray Gray Gray Pink Yellow Red Gray Gray Green\nBrown Blue Blue Gray Green Gray Yellow Gray Blue Pink Gray\nGray Pink Gray Gray Blue Green Red Yellow Yellow Brown Gray\n\n\nHere is the input grid for the test example:\nInput:\nYellow Red Pink Green Purple Green Orange Purple Gray\nBlue Orange Yellow Red Blue Purple Red Gray Gray\nYellow Blue Pink Blue Yellow Brown Orange Brown Purple\nPurple Red Green Blue Yellow Purple Purple Orange Brown\nGreen Green Pink Red Orange Gray Green Purple Yellow\nOrange Blue Orange Purple Red Brown Pink Red Blue\nGray Pink Orange Orange Blue Yellow Brown Purple Pink\nPink Pink Orange Brown Brown Pink Gray Pink Gray\nPink Blue Brown Gray Brown Pink Green Gray Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Red Pink Green Gray Green Gray Gray Gray\nBlue Gray Yellow Red Blue Gray Red Gray Gray\nYellow Blue Pink Blue Yellow Brown Gray Brown Gray\nGray Red Green Blue Yellow Gray Gray Gray Brown\nGreen Green Pink Red Gray Gray Green Gray Yellow\nGray Blue Gray Gray Red Brown Pink Red Blue\nGray Pink Gray Gray Blue Yellow Brown Gray Pink\nPink Pink Gray Brown Brown Pink Gray Pink Gray\nPink Blue Brown Gray Brown Pink Green Gray Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Brown Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Brown Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Brown Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Black Black Black Black Black Black\nPurple Purple 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 Orange\n\nOutput:\nOrange Purple Black Black Black Black Black Black\nPurple Purple 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 Purple\n\n\nExample 2\nInput:\nPink Pink Black Black Black Black Black\nPink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange\n\nOutput:\nOrange Pink Black Black Black Black Black\nPink Pink 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 Pink\n\n\nExample 3\nInput:\nOrange Orange Black Black Black Black Black\nOrange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray\n\nOutput:\nGray Orange Black Black Black Black Black\nOrange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Gray Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nGreen 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nYellow 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\nYellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow 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\nBlack Black 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:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\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\nYellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\nYellow 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Green Red Green Pink Red Blue Orange\nOrange Blue Black Brown Orange Green Black Gray\nRed Red Black Yellow Brown Red Red Red\nYellow Pink Brown Red Pink Gray Purple Brown\nPurple Purple Green Red Orange Gray Black Black\nGreen Pink Green Brown Brown Pink Green Gray\nRed Yellow Orange Brown Green Yellow Red Black\nPink Black Orange Blue Red Red Yellow Yellow\nOrange Yellow Yellow Purple Black Brown Black Red\nOrange Pink Yellow Black Red Red Yellow Brown\nBlack Gray Brown Blue Orange Yellow Yellow Brown\nBrown Gray Purple Pink Black Pink Yellow Yellow\nBlack Brown Blue Blue Blue Black Red Gray\nBlue Gray Gray Orange Green Black Yellow Gray\nBlack Yellow Red Red Orange Gray Orange Yellow\nGray Pink Gray Gray Purple Blue Blue Pink\nGray Brown Red Brown Yellow Black Orange Pink\nBrown Red Brown Orange Yellow Red Gray Black\n\nOutput:\nBlack Yellow Red Yellow Orange Red Yellow Pink\nPink Yellow Black Purple Pink Yellow Black Gray\nRed Red Black Green Purple Red Red Red\nGreen Orange Purple Red Orange Gray Brown Purple\nBrown Brown Yellow Red Pink Gray Black Black\nYellow Orange Yellow Purple Purple Orange Yellow Gray\nRed Green Pink Purple Yellow Green Red Black\nOrange Black Pink Yellow Red Red Green Green\nPink Green Green Brown Black Purple Black Red\nPink Orange Green Black Red Red Green Purple\nBlack Gray Purple Yellow Pink Green Green Purple\nPurple Gray Brown Orange Black Orange Green Green\nBlack Purple Yellow Yellow Yellow Black Red Gray\nYellow Gray Gray Pink Yellow Black Green Gray\nBlack Green Red Red Pink Gray Pink Green\nGray Orange Gray Gray Brown Yellow Yellow Orange\nGray Purple Red Purple Green Black Pink Orange\nPurple Red Purple Pink Green Red Gray Black\n\n\nExample 2\nInput:\nPurple Brown Orange Black Yellow Yellow Orange Purple Red Yellow\nBlack Green Black Red Purple Red Green Blue Red Purple\nGray Red Black Black Red Purple Yellow Gray Yellow Brown\nBrown Yellow Orange Blue Blue Brown Red Pink Gray Red\nGray Red Pink Black Black Purple Purple Pink Brown Pink\nYellow Pink Black Red Orange Pink Orange Gray Green Yellow\nRed Red Blue Green Brown Purple Red Yellow Brown Gray\n\nOutput:\nBrown Purple Pink Black Green Green Pink Brown Red Green\nBlack Yellow Black Red Brown Red Yellow Yellow Red Brown\nGray Red Black Black Red Brown Green Gray Green Purple\nPurple Green Pink Yellow Yellow Purple Red Orange Gray Red\nGray Red Orange Black Black Brown Brown Orange Purple Orange\nGreen Orange Black Red Pink Orange Pink Gray Yellow Green\nRed Red Yellow Yellow Purple Brown Red Green Purple Gray\n\n\nExample 3\nInput:\nYellow Gray Red Yellow Orange Yellow Red Blue Yellow Blue Red\nBlue Brown Pink Green Black Gray Orange Black Red Purple Red\nOrange Yellow Blue Yellow Red Brown Red Pink Yellow Pink Orange\nBlack Red Purple Yellow Gray Orange Orange Purple Black Red Yellow\nGreen Yellow Purple Gray Blue Pink Red Red Black Brown Blue\nBrown Gray Yellow Black Red Orange Orange Red Yellow Gray Red\nBlack Gray Red Blue Orange Green Brown Yellow Yellow Pink Yellow\n\nOutput:\nGreen Gray Red Green Pink Green Red Yellow Green Yellow Red\nYellow Purple Orange Yellow Black Gray Pink Black Red Brown Red\nPink Green Yellow Green Red Purple Red Orange Green Orange Pink\nBlack Red Brown Green Gray Pink Pink Brown Black Red Green\nYellow Green Brown Gray Yellow Orange Red Red Black Purple Yellow\nPurple Gray Green Black Red Pink Pink Red Green Gray Red\nBlack Gray Red Yellow Pink Yellow Purple Green Green Orange Green\n\n\nHere is the input grid for the test example:\nInput:\nBrown Green Yellow Yellow Yellow Red Purple Red Red\nYellow Pink Gray Pink Black Black Green Orange Purple\nOrange Blue Red Yellow Black Black Gray Brown Pink\nBlue Blue Red Green Gray Yellow Blue Black Yellow\nGray Red Gray Black Green Pink Orange Orange Red\nGreen Red Yellow Purple Orange Red Gray Gray Red\nYellow Brown Pink Black Red Red Red Gray Pink\nPurple Pink Red Yellow Red Yellow Red Red Pink\nBrown Purple Yellow Pink Red Blue Yellow 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```\nPurple Yellow Green Green Green Red Brown Red Red\nGreen Orange Gray Orange Black Black Yellow Pink Brown\nPink Yellow Red Green Black Black Gray Purple Orange\nYellow Yellow Red Yellow Gray Green Yellow Black Green\nGray Red Gray Black Yellow Orange Pink Pink Red\nYellow Red Green Brown Pink Red Gray Gray Red\nGreen Purple Orange Black Red Red Red Gray Orange\nBrown Orange Red Green Red Green Red Red Orange\nPurple Brown Green Orange Red Yellow Green Pink Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Brown Gray Brown Gray Brown Gray\nBrown Gray Brown Gray Brown Gray Brown\nGray Brown Gray Brown Gray Brown Gray\nBrown Gray Brown Gray Brown Gray Brown\nGray Brown Gray Brown Gray Brown Gray\nBrown Gray Brown Gray Brown Gray Brown\nGray Brown Gray Brown Gray Brown Gray\n\nOutput:\nBlue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue\n\n\nExample 2\nInput:\nPurple Orange Purple Orange Purple Orange\nOrange Purple Orange Purple Orange Purple\nPurple Orange Purple Orange Purple Orange\nOrange Purple Orange Purple Orange Purple\nPurple Orange Purple Orange Purple Orange\nOrange Purple Orange Purple Orange Purple\n\nOutput:\nRed Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red\n\n\nExample 3\nInput:\nBlue Pink Blue Pink Blue Pink Blue Pink\nPink Blue Pink Blue Pink Blue Pink Blue\nBlue Pink Blue Pink Blue Pink Blue Pink\nPink Blue Pink Blue Pink Blue Pink Blue\nBlue Pink Blue Pink Blue Pink Blue Pink\nPink Blue Pink Blue Pink Blue Pink Blue\n\nOutput:\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\n\n\nHere is the input grid for the test example:\nInput:\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Blue Brown 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 Black Black Black Black\nBlack Black Black Blue Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Gray Gray\nBlack Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\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:\nOrange Pink Pink Black Yellow Yellow Black Black Black Black Black Black\nBlack Pink Pink Black Yellow Yellow Black Orange Black Black Black Black\nBlack Black Blue Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Orange Black Pink Pink Black Black\nBlack Black Black Brown Gray Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Green Black Black\n\nOutput:\nPink Pink Pink Yellow Yellow Yellow Orange Orange Black Black Black Black\nPink Pink Pink Yellow Yellow Yellow Orange Orange Black Black Black Black\nBlack Blue Blue Black Brown Brown Purple Purple Black Black Black Black\nBlack Black Black Black Brown Brown Black Pink Pink Pink Black Black\nBlack Black Black Black Black Orange Orange Pink Pink Pink Black Black\nBlack Black Brown Brown Gray Orange Orange Pink Pink Pink Black Black\nBlack Black Brown Brown Gray Black Black Black Green Green Black Black\nBlack Black Brown Brown Brown Black Black Black Green Green Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Red Red Black Black\nBlue Black Black Black Black Black Red Green Black Black\nBlue Gray Black Brown Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Yellow Yellow Black\nBlack Black Green Green Black Black Black Yellow Yellow Black\nBlack Purple Black Brown Orange Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Red Green Black Black\nGray Gray Brown Brown Black Red Red Green Black Black\nGray Gray Brown Brown Black Black Black Black Black Black\nBlue Blue Green Green Black Black Yellow Yellow Yellow Black\nBlack Green Green Green Black Black Yellow Yellow Yellow Black\nPurple Green Green Green Red Red Yellow Yellow Yellow Black\nPurple Purple Brown Brown Red Red Black Black Black Black\n\n\nExample 3\nInput:\nGreen Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Yellow Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Brown Brown Black Black Black Black Black Black Green Black\nBlack Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black\n\nOutput:\nBlue Blue Yellow Yellow Gray Black Black Black Black Black Black\nBlue Blue Yellow Yellow Gray Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black\nBrown Brown Brown Black Black Black Yellow Yellow Yellow Green Black\nBrown Brown Brown Black Black Black Black Black Green Green Black\nBrown Brown Brown Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nOrange Black Black Black Brown Black Black Black Black\nYellow Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black\nBlack Black Black Pink Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Gray Gray\nPink Pink Black Black Black Black Black Gray Gray\nBlack Black Orange Gray Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Black Black Brown Brown Black Black Black Black\nYellow Black Green Green Green Black Black Black Black\nBlack Black Green Green Green Black Black Black Black\nBlack Black Pink Pink Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Gray Gray Gray\nPink Pink Black Black Black Black Gray Gray Gray\nPink Pink Gray Gray Black Black Gray Gray Gray\nBlack Black Gray Gray Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black\nBlack Black Pink Pink Pink Pink Pink Pink 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 Black Black\nBlack Black Pink Pink Pink Pink Pink Pink 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Green Black Black Black Black Black Black Black Black Black Black\nGreen Blue Blue Black Black Black Black Black Black Black Black Black\nGreen Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Green 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 Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Green Black Black Black Black Black Black Black Black Black Black\nGreen Blue Blue Black Black Black Black Black Black Black Black Black\nGreen Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Green 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 Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\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 Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black 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 Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Green Green Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Green Green Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Gray Gray 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 Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black 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 Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Green Green Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Green Green Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Purple Purple Purple\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Blue Red Red Black Black\nRed Red Red Red Black Blue Red Red Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Purple Purple Purple\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Blue Red Red Red Red\nRed Red Red Red Black Blue Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Blue Black\nBlack Black Black Black Brown Brown Brown Black Blue Blue Blue Blue Black\nBlack Black Black Black Brown Brown Brown Black Black Blue Blue Blue Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Pink Pink Pink Pink\nBlack Black Black Black Brown Brown Brown Black Blue Pink Pink Pink Pink\nBlack Black Black Black Brown Brown Brown Black Black Blue Blue Blue Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black\nPink Pink Pink Pink Black Yellow Yellow Yellow Black Black Black\nPink Pink Pink Pink Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Pink Pink Pink Pink Black Black\nBrown Brown Brown Brown Black Pink Pink Pink Pink Black Black\nBrown Brown Brown Brown Black Pink Pink Pink Pink Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Purple Purple Purple\nPink Pink Purple Purple Purple\nPink Pink Purple Purple Purple\n\n\nExample 2\nInput:\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black\n\nOutput:\nBlack Black Blue Blue Blue\nBlack Black Orange Orange Orange\nBlack Black Orange Orange Orange\nBlack Black Black Blue Blue\nBlack Black Black Blue Blue\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\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black\nGreen Green Green Black Black\nGreen Green Green Red Red\nGreen Green Green Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Gray Gray\nBlack Black Brown Gray Gray\nBlack Black Brown Brown Brown\nBlack Black Brown Brown Brown\nBlack Black Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack 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 Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack 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 Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green 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 Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack 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 Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack 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 Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray 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 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 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 Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 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 Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue 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\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Blue Blue Red Red Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Blue Blue Red Red Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nRed Red Black Black Black Black Yellow Yellow Black Black Black Black\nRed Red Black Black Black Black Yellow Yellow Black Black Black Black\nRed Red Yellow Yellow Yellow Yellow Red Red Black Black Black Black\nRed Red Yellow Yellow Yellow Yellow Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Yellow Yellow Red Red Red Red Red Red Red Red\nBlack Black Yellow Yellow Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Blue Blue Black Black Red Red Red Red Black Black Green Green Green Green\nBlack Black Black Black Black Black Blue Blue Black Black Red Red Red Red Black Black Green Green Green Green\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Black Black Red Red Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Red Red Blue Blue Black Black Black Black Black Black\nBlack 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red\nYellow Yellow Yellow Yellow Black Black Red Red Red Red Black Black Red Red Black Black\nYellow Yellow Yellow Yellow Black Black Red Red Red Red Black Black Red Red Black Black\nRed Red Red Red Black Black Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Blue Blue Black Black Black Black Green Green Green Green Red Red\nGreen Green Green Green Black Black Black Black Blue Blue Black Black Black Black Green Green Green Green Red Red\nGreen Green Green Green Black Black Black Black Blue Blue Black Black Black Black Green Green Red Red Black Black\nGreen Green Green Green Black Black Black Black Blue Blue Black Black Black Black Green Green Red Red Black Black\nGreen Green Green Green Blue Blue Blue Blue Green Green Black Black Black Black Green Green Green Green Red Red\nGreen Green Green Green Blue Blue Blue Blue Green Green Black Black Black Black Green Green Green Green 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Green Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Blue Blue 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nRed Red Yellow Yellow Yellow Yellow Black Black Black Black Red Red Black Black Black Black Yellow Yellow Yellow Yellow\nRed Red Yellow Yellow Yellow Yellow Black Black Black Black Red Red Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Red Red Yellow Yellow Black Black Black Black Red Red Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Red Red Yellow Yellow Black Black Black Black Red Red Black Black Black Black Yellow Yellow Yellow Yellow\nRed Red Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Red Red Red Red Yellow Yellow Yellow Yellow\nRed Red Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Red Red Red Red Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red 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\nRed Red Red Red Black Black Red Red\nRed Red Red Red Black Black Red Red\nBlack Black Red Red Red Red Red Red\nBlack Black 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 Green Green Black Black Black\nBlack Black Black Green Green Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow\nGreen Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow 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 Green Green Black Black Black\nBlack Black Black Green Green Black Green Green\nBlack Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Green Green\nBlack Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black\nBlack Black Green Green 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 Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Black Black\nBlack Green Green Green Green Black Black\nBlack Green Green Green Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Green Black Black Black\nBlack Black Green Green Black Yellow Yellow\nBlack Yellow Yellow Black Black Yellow Yellow\nBlack Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Green Black Black\nBlack Black Black Green Green Black Black\nBlack Green Green Green Green Black Black\nBlack Green Green Green Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Green Black Black Black\nBlack Black Green Green Black Green Green\nBlack Green Green Black Black Green Green\nBlack Green Green Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black\nBlack Yellow Yellow 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 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\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Green Green Black Black Black Black\nBlack Green Green 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 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Green Green Black Black\nBlack Black Green Green Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Green Green Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Green Green Black Black\nBlack Black Green Green Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green 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 Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black 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 Black Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nOrange Orange Green Green Green Green Green Green Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Green Green Green Green Green Green Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black 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 Black Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 3\nInput:\nBlack Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlue Blue Blue Blue Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Gray Gray Orange Orange Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Gray Gray Orange Orange Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Orange Orange Gray Gray Gray Gray Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Orange Orange Gray Gray Gray Gray Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Green Black Black Black Black\nBlack Black Black Black Black Yellow Green Black Black Black\nBlack Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Yellow Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Black Green Black Black Black Black Black Black\nBlack Black Yellow Black Green Black Black Black Black Black\nBlack Black Black Yellow Red Green Black Black Black Black\nBlack Black Black Black Yellow Black Green Black Black Black\nBlack Black Black Black Black Yellow Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Yellow\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Green\nBlack Black Black Black Yellow Black Red Black Green Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Gray Black Black\nBlack Black Black Black Brown\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 Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black\nGray Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Orange 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 Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Purple Purple Purple Black Black Black\nBlack Black Black Orange Orange Orange Purple Purple Purple Black Black Black\nBlack Black Black Orange Orange Orange Purple Purple Purple Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nPink Black Black Black Black\nBlack Black Black Black Black\nBlack 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\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Black\nBlack Black Black\nYellow Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown 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\nYellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBrown Brown Brown Black Black Black\nBrown Purple Brown Black Black Black\nBrown Brown Brown Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown\nBrown Purple Brown Brown Purple Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Purple Brown Brown Purple Brown\nBrown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBrown Green Brown Black Black Black\nBrown Gray Brown Black Black Black\nBrown Gray Brown Black Black Black\n\nOutput:\nBrown Brown Brown Brown Gray Brown\nGreen Gray Gray Brown Gray Brown\nBrown Brown Brown Brown Green Brown\nBrown Green Brown Brown Brown Brown\nBrown Gray Brown Green Gray Gray\nBrown Gray Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nPink Pink Pink Black Black Black\nPink Brown Pink Black Black Black\nRed Blue Yellow Black Black Black\n\nOutput:\nPink Pink Yellow Yellow Blue Red\nPink Brown Blue Pink Brown Pink\nPink Pink Red Pink Pink Pink\nPink Pink Pink Pink Pink Yellow\nPink Brown Pink Pink Brown Blue\nRed Blue Yellow Pink Pink Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nPink Blue Purple Black Black Black\nBlue Blue Yellow Black Black Black\nPink Blue Purple Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Yellow Purple Purple Blue Pink\nBlue Blue Blue Yellow Blue Blue\nPink Blue Pink Purple Blue Pink\nPink Blue Purple Purple Yellow Purple\nBlue Blue Yellow Blue Blue Blue\nPink Blue Purple Pink Blue Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue 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 Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray 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 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 Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue 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 Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\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 Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue 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 Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black\nBlack 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 Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black 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 Black Black\nBlack 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 Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue 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 Blue Blue Black Black\nBlack Black Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Yellow Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Black Black Black Red\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Red Black Black Black Green\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Red Red Black Black Black Black Black Black\nBlack Black Pink Black Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Yellow Red Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Blue Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Blue Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Red Red Blue Pink Black Black Black Black Black Black Pink Yellow Pink Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Yellow Pink Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Green Red Red Red 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 Yellow Yellow Black Black\nBlack Black Black Black Black Pink Green Pink Black Black Green Red Red Black\nBlack Black Black Black Black Pink Red Pink Black Black Yellow Yellow Yellow Yellow\nBlack Black Pink Pink Pink Pink Black Black Black Black Green Red Red Black\nBlack 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\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 Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Pink Pink Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Blue Red Red Black Black Black Black 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\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 Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black Pink Green Green Black Black Black\nBlack Black Red Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink 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 Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black 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 Red Pink Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black 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\nBlack Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray\n\nOutput:\nGray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue\nGray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue\nBlue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray\nBlue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray\nGray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue\nGray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue\nBlue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray\nBlue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray\nGray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue\nGray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue\nBlue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray\nBlue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray\nGray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue\nGray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue\nBlue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray\nBlue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray\n\n\nExample 2\nInput:\nGray Red Gray Red Gray Red Gray\nRed Gray Red Gray Red Gray Red\nGray Red Gray Red Gray Red Gray\nRed Gray Red Gray Red Gray Red\nGray Red Gray Red Gray Red Gray\nRed Gray Red Gray Red Gray Red\nGray Red Gray Red Gray Red Gray\n\nOutput:\nGray Gray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray\nGray Gray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray\nRed Red Gray Gray Red Red Gray Gray Red Red Gray Gray Red Red\nRed Red Gray Gray Red Red Gray Gray Red Red Gray Gray Red Red\nGray Gray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray\nGray Gray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray\nRed Red Gray Gray Red Red Gray Gray Red Red Gray Gray Red Red\nRed Red Gray Gray Red Red Gray Gray Red Red Gray Gray Red Red\nGray Gray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray\nGray Gray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray\nRed Red Gray Gray Red Red Gray Gray Red Red Gray Gray Red Red\nRed Red Gray Gray Red Red Gray Gray Red Red Gray Gray Red Red\nGray Gray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray\nGray Gray Red Red Gray Gray Red Red Gray Gray Red Red Gray Gray\n\n\nExample 3\nInput:\nBrown Red Brown Red Brown Red Brown\nRed Brown Red Brown Red Brown Red\nBrown Red Brown Red Brown Red Brown\nRed Brown Red Brown Red Brown Red\nBrown Red Brown Red Brown Red Brown\nRed Brown Red Brown Red Brown Red\nBrown Red Brown Red Brown Red Brown\n\nOutput:\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow\nYellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow\nOrange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange\nOrange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange\nYellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow\nYellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow\nOrange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange\nOrange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange\nYellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow\nYellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow\nOrange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange\nOrange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange\nYellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow\nYellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow\nOrange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange\nOrange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange\nYellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow\nYellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Black Pink Pink Black Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Black Pink Pink Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Pink Black Pink Pink Black\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nBlack Pink Black Pink Pink Black\nPink Pink Pink Pink Pink Pink\nBlack Pink Black Pink Pink Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Yellow Yellow Black Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Black Yellow Yellow Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Black 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 Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Red Red Red Black Black Black\nBlack Red Red Red Red Red Black\nBlack Black Black Black Black Red Black\nBlack Black Black Red Red Red Black\nBlack Black Black Red Red Red Black\nBlack Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Black Black\nRed Red Red Red Red Red Red\nBlack Black Black Black Black Black Red\nBlack Black Black Black Red Red Red\nBlack Black Black Black Red Red Red\nBlack Black Black Black Red Red Red\nBlack Black Black Black Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Green Green Green Black\nBlack Black Black Green Black\nBlack Green Green Green Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green\nBlack Black Black Black Green\nGreen Green Green Green Green\nBlack Black Black Black Green\nGreen 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\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Blue Blue Blue Black Red Red Black Black Red Black Black\nBlack Black Red Blue Red Black Red Black Black Black Black Black\nBlack Blue Blue Blue Black Black Red Green 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 Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Red Black\nBlack Black Black Black Black Red Red Black Black Green Black Black\nBlack Black Black Black Black Red Red 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 Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red 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\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\nRed Red Red Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack 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\nRed Red Red Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Green Green Green Black\nBlack Black Black Black Green Black Black\nBlack Black 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 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 Red Red Red Black\nBlack Black Black Black Red Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Black Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Black Yellow Black\nBlack Yellow Black Black Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Black Yellow Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black 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:\nOrange Orange Orange Black Black Orange Orange Orange\nOrange Orange Orange Black Black Orange Black Black\nBlack Orange Black Black Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Black Black Orange Black\nBlack Black Orange Black Black Orange Orange Orange\nOrange Orange Orange Black Black Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Gray Gray Black Black\nBlack Black Gray Gray 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```\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 Black Black Black Black Black Black 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 Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black 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:\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Black Black Gray Gray Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Blue Black Blue Black Black Black Black\nBlack Blue Blue Black Black Black Black Blue\nBlack Blue Black Blue Black Blue Blue Black\nBlue Black Blue Black Black Black Black Black\nBlack Blue Black Blue Black Black Black Black\nBlue Blue Black Blue Black Black Black Blue\nBlack Black Black Black Black Blue Black Blue\nBlack Blue Black Black Black Black Black Black\n\nOutput:\nBlack Orange Black Orange Black Black Black Black\nBlack Orange Orange Black Black Black Black Orange\nBlack Orange Black Orange Black Orange Orange Black\nOrange Black Orange Black Black Black Black Black\nBlack Orange Black Orange Black Black Black Black\nOrange Orange Black Orange Black Black Black Orange\nBlack Black Black Black Black Orange Black Orange\nBlack Orange Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Blue Black Black Black Black\nBlue Black Black Black Black Blue Blue\nBlue Black Black Black Black Blue Black\nBlack Black Black Black Blue Black Blue\nBlack Black Black Black Black Black Black\nBlack Black Black Black Blue Black Blue\nBlue Blue Blue Blue Blue Black Black\n\nOutput:\nBlack Black Orange Black Black Black Black\nOrange Black Black Black Black Orange Orange\nOrange Black Black Black Black Orange Black\nBlack Black Black Black Orange Black Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Orange Black Orange\nOrange Orange Orange Orange Orange Black Black\n\n\nExample 3\nInput:\nBlack Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Blue Black Black\nBlack Blue Black Blue Black Black Black Black Black\nBlack Black Blue Black Blue Black Black Blue Black\nBlack Black Blue Black Black Black Blue Black Black\nBlack Black Black Black Black Blue Black Black Blue\nBlack Black Blue Black Black Blue Black Black Blue\n\nOutput:\nBlack Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Orange Black Black\nBlack Orange Black Orange Black Black Black Black Black\nBlack Black Orange Black Orange Black Black Orange Black\nBlack Black Orange Black Black Black Orange Black Black\nBlack Black Black Black Black Orange Black Black Orange\nBlack Black Orange Black Black Orange Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Black Blue Blue Black Blue Blue\nBlue Black Blue Black Black Blue Black Black Black\nBlack Blue Black Blue Black Black Black Blue Black\nBlue Blue Black Blue Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue\nBlack Blue Black Black Black Black Black Black Black\nBlue Black Black Blue Blue Black Black Black Black\nBlack Blue Black Blue Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Orange Black Orange Orange Black Orange Orange\nOrange Black Orange Black Black Orange Black Black Black\nBlack Orange Black Orange Black Black Black Orange Black\nOrange Orange Black Orange Orange Black Orange Black Black\nBlack Black Black Black Black Black Black Black Orange\nBlack Orange Black Black Black Black Black Black Black\nOrange Black Black Orange Orange Black Black Black Black\nBlack Orange Black Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Orange Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Gray Brown Purple Pink Orange Yellow\nOrange Blue Purple Green Pink Green Purple\nOrange Yellow Purple Red Gray Orange Green\nOrange Yellow Purple Red Purple Orange Green\nOrange Blue Purple Green Orange Green Purple\nYellow Gray Brown Purple Green Orange Yellow\n\nOutput:\nYellow Gray Brown Purple Green Orange Yellow\nOrange Blue Purple Green Pink Green Orange\nOrange Yellow Purple Red Gray Orange Orange\nOrange Yellow Purple Red Purple Orange Orange\nOrange Blue Purple Green Orange Green Orange\nYellow Gray Brown Purple Green Orange Yellow\n\n\nExample 2\nInput:\nOrange Pink Green Red Pink Blue\nOrange Purple Blue Purple Purple Pink\nBrown Yellow Green Green Yellow Yellow\nPurple Gray Pink Orange Blue Orange\nBrown Pink Green Green Yellow Yellow\nOrange Gray Blue Purple Purple Pink\nOrange Purple Green Red Pink Blue\n\nOutput:\nOrange Purple Green Red Pink Orange\nOrange Purple Blue Purple Purple Orange\nBrown Yellow Green Green Yellow Brown\nPurple Gray Pink Orange Blue Purple\nBrown Pink Green Green Yellow Brown\nOrange Gray Blue Purple Purple Orange\nOrange Purple Green Red Pink Orange\n\n\nExample 3\nInput:\nBlue Purple Orange Purple Red Brown Green\nBrown Pink Blue Gray Green Gray Blue\nBlue Green Yellow Green Blue Yellow Yellow\nBrown Green Orange Gray Red Yellow Pink\nPurple Orange Gray Pink Purple Brown Yellow\nBrown Pink Blue Gray Green Gray Blue\nBlue Purple Orange Purple Red Brown Green\n\nOutput:\nBlue Purple Orange Purple Red Brown Blue\nBrown Pink Blue Gray Green Gray Brown\nPurple Orange Gray Pink Purple Brown Purple\nBrown Green Orange Gray Red Yellow Brown\nPurple Orange Gray Pink Purple Brown Purple\nBrown Pink Blue Gray Green Gray Brown\nBlue Purple Orange Purple Red Brown Blue\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Blue Orange Orange\nOrange Pink Pink Pink Purple\nPink Red Pink Brown Brown\nOrange Blue Pink Pink Purple\nBrown Gray Blue Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Gray Blue Orange Brown\nOrange Pink Pink Pink Orange\nPink Red Pink Brown Pink\nOrange Blue Pink Pink Orange\nBrown Gray Blue Orange Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Green Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Green Black\nBlack Black Black Black Green Black Black Black Black Black Black Green\n\nOutput:\nBlack Yellow Green Yellow Black Black Black Black Yellow Green Yellow Yellow\nBlack Yellow Yellow Yellow Black Black Black Black Yellow Yellow Green Black\nBlack Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Green Black\nBlack Black Black Black Green Black Black Black Black Black Black Green\n\n\nExample 2\nInput:\nBlack Green Black Black Green Black Black Green Black Black\nBlack Black Black Black Black Black Green Black Green Black\nBlack Black Black Green Black Green Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Green Yellow Yellow Green Yellow Black Green Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Green Black Green Black\nBlack Black Black Green Black Green Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Green Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green\nBlack Black Green Black Black Green Black Black Black Black Black\nBlack Green Black Black Black Black Green Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Green Yellow Yellow Green Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green\nBlack Black Green Black Black Green Black Black Black Black Black\nBlack Green Black Black Black Black Green Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Green Black Black Green\nBlack Black Black Black Black Green Black Black Green\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Green\nBlack 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```\nBlack Black Black Black Yellow Green Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Green Black Black Green Black Black Green\nBlack Black Black Black Black Green Black Black Green\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Green\nBlack Black 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:\nBlack Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow 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 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Orange Orange Orange Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Orange Orange Orange Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Orange Orange Orange Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Pink Pink Pink Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Pink Pink Pink Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Pink Pink Pink Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\n\n\nExample 2\nInput:\nBrown Brown Brown Red Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Red Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Red Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Pink Pink Pink Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Pink Pink Pink Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Pink Pink Pink 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 Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black 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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black 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 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 Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Brown Brown Brown Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Brown Brown Brown Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Brown Brown Brown Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPink Pink Pink Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Orange Orange Orange Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Orange Orange Orange Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Orange Orange Orange 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 Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Purple Purple Purple Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Purple Purple Purple Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Purple Purple Purple Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Red Red Red Red Black Black Blue Blue Black Black Red Red Black Black\nBlack Black Red Red Red Red Black Black Blue Blue Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Green Green Green Green Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Black Green Green Green Green Red Red\nRed Red Blue Blue Blue Blue Black Black Black Black Green Green Black Black Black Black\nRed Red Blue Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Blue Blue 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 Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Orange Orange Orange Orange Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Orange Orange Orange Orange Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Orange Orange\nOrange Orange Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nOrange Orange Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\n\n\nExample 2\nInput:\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Red Red Black Black Black Black\n\nOutput:\nBlack Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Green Green Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Orange Orange 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 Yellow Yellow Yellow Yellow Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Green Green Green Green\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange 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 Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 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 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Brown Brown Black Brown Black\nBlack Black Purple Purple Brown Black\nBlack Brown Purple Purple Black Black\nBlack Brown Black Brown Brown Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Purple Blue Blue Purple Black\nBlack Purple Blue Blue Purple Black\nBlack Purple Blue Blue Purple Black\nBlack Purple Blue Blue Purple Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Green Green Green Green Black\nBlack Green Green Green Green Black\nBlack Green Green Green Green Black\nBlack Green Green Green Green Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Green Green Green Green Black\nBlack Red Green Green Red Black\nBlack Red Green Green Red Black\nBlack Green Green Green Green Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Green Green Green Green Black\nBlack Green Green Green Green Black\nBlack Green Green Green Green Black\nBlack Green Green Green Green Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Purple Blue Brown Pink Black\nBlack Purple Blue Gray Black Black\nBlack Purple Blue Gray Black Black\nBlack Purple Blue Brown Pink Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\n\n\nExample 2\nInput:\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Orange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black 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 Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink 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 Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black 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\nBlack Black Yellow Yellow Black Yellow Black Black\nBlack Black Black Black Yellow Gray Black Black\nBlack Red Brown Black Yellow Brown Black Black\nBlack Yellow Yellow Gray Black Black Black Black\nBlack Yellow Brown Black Gray Yellow Black Black\nBlack Brown Gray Black Brown Yellow Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nGreen Brown Black Gray Brown\nGreen Gray Black Brown Green\nBlack Black Gray Green Green\nBrown Green Black Brown Red\nGray Green Black Black Black\nGreen Black Green Green Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Orange Black Purple Black Orange Black\nBlack Gray Black Black Black Black Black\nBlack Black Gray Black Gray Black Black\nBlack Black Gray Orange Gray Black Black\nBlack Pink Black Pink Purple Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Purple Pink Black Pink\nBlack Gray Orange Gray Black\nBlack Gray Black Gray Black\nBlack Black Black Black Gray\nOrange Black Purple Black Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Pink Black Black Gray Orange Black\nBlack Gray Black Pink Gray Black Black Gray Black\nBlack Orange Pink Black Black Pink Black Pink Black\nBlack Black Black Black Black Orange Black Gray Black\nBlack Black Gray Gray Orange Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nGray Black Black Orange Gray Gray Black\nGray Black Orange Black Black Black Black\nPink Black Pink Black Black Pink Orange\nGray Black Black Gray Pink Black Gray\nOrange Gray Black Black Pink Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Yellow Black Blue Black Black\nBlack Orange Orange Black Brown Black Yellow Black Black\nBlack Black Yellow Orange Black Orange Black Brown Black\nBlack Blue Black Black Orange Black Brown Black Black\nBlack Black Black Black Black Yellow Black Yellow Black\nBlack Black Blue Yellow Orange Yellow Black Blue Black\nBlack Black Black Blue Black Black Brown 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 Brown Black Black Red Black Black\nRed Black Green Orange Green Red Black\nGreen Black Green Black Black Black Black\nBlack Brown Black Orange Black Black Red\nBrown Black Orange Black Orange Green Black\nBlack Green Black Brown Black Orange Orange\nBlack Red Black Green Brown Brown Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Pink Pink Pink Brown Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Orange Green Green Black\nBlack 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 Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Brown 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\nGreen Green Green Green 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\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Orange Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Yellow Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Green Green Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Yellow Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown 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\nGreen Green 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\nYellow 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 Brown Brown Brown Brown Black Black\nBlack 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 Brown Brown Brown Brown Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Brown Brown Brown Brown 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\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red 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 Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue 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\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |