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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 Red Orange Blue Yellow Purple\nPurple Red Orange Blue Yellow Purple\nPurple Red Orange Blue Yellow Purple\nPurple Red Orange Blue Yellow Purple\nPurple Red Orange Blue Yellow Purple\nPurple Red Orange Blue Yellow Purple\nPurple Red Orange Blue Yellow Purple\nPurple Red Orange Blue Yellow Purple\n\nOutput:\nOrange Yellow Blue Red Purple Orange\nOrange Yellow Blue Red Purple Orange\nOrange Yellow Blue Red Purple Orange\nOrange Yellow Blue Red Purple Orange\nOrange Yellow Blue Red Purple Orange\nOrange Yellow Blue Red Purple Orange\nOrange Yellow Blue Red Purple Orange\nOrange Yellow Blue Red Purple Orange\n\n\nExample 2\nInput:\nPurple Yellow Orange Green Orange Yellow Blue Yellow\nPurple Yellow Orange Green Orange Yellow Blue Yellow\nPurple Yellow Orange Green Orange Yellow Blue Yellow\nPurple Yellow Orange Green Orange Yellow Blue Yellow\nPurple Yellow Orange Green Orange Yellow Blue Yellow\n\nOutput:\nOrange Purple Blue Pink Blue Purple Red Purple\nOrange Purple Blue Pink Blue Purple Red Purple\nOrange Purple Blue Pink Blue Purple Red Purple\nOrange Purple Blue Pink Blue Purple Red Purple\nOrange Purple Blue Pink Blue Purple Red Purple\n\n\nExample 3\nInput:\nPink Green Orange Orange Yellow Red Blue Red Blue\nPink Green Orange Orange Yellow Red Blue Red Blue\nPink Green Orange Orange Yellow Red Blue Red Blue\nPink Green Orange Orange Yellow Red Blue Red Blue\nPink Green Orange Orange Yellow Red Blue Red Blue\n\nOutput:\nGreen Pink Blue Blue Purple Yellow Red Yellow Red\nGreen Pink Blue Blue Purple Yellow Red Yellow Red\nGreen Pink Blue Blue Purple Yellow Red Yellow Red\nGreen Pink Blue Blue Purple Yellow Red Yellow Red\nGreen Pink Blue Blue Purple Yellow Red Yellow Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Pink Blue Pink Yellow Red\nRed Red Pink Blue Pink Yellow Red\nRed Red Pink Blue Pink Yellow Red\nRed Red Pink Blue Pink Yellow Red\nRed Red Pink Blue Pink Yellow Red\nRed Red Pink Blue Pink Yellow Red\nRed Red Pink Blue Pink Yellow Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Green Red Green Purple Yellow\nYellow Yellow Green Red Green Purple Yellow\nYellow Yellow Green Red Green Purple Yellow\nYellow Yellow Green Red Green Purple Yellow\nYellow Yellow Green Red Green Purple Yellow\nYellow Yellow Green Red Green Purple Yellow\nYellow Yellow Green Red Green Purple Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Yellow Black Gray Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Pink Black Black\nBlack Orange Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Orange Black\nBlack Purple Black Black Purple Black Black Black Black Black Black Blue Black\nBlack Black Orange Black Black Black Gray Black Black Brown Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Orange Black Black Black Black Black Black Black\nBlack Black Yellow Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Black Blue Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Blue Black Black\nBlack Yellow Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Yellow Green Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Yellow Black\nBlack Yellow Black Black Yellow Black Black Black Black Black Black Red Black\nBlack Black Yellow Black Black Black Blue Black Black Red Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Yellow Black Black Black Black Black Black Black\nBlack Black Red Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBrown Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Brown Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Blue Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Black Green 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 Red Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Red Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Purple Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Orange Black Black Yellow\nBlack Black Purple Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Orange Black Blue\nBrown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Pink Orange Black Black Black Black Black\nGreen Black Yellow Black Black Black Gray Black Brown Black Blue Black\nBlack Black Black Black Gray Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Yellow Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black\n\nOutput:\nBlack Yellow Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Yellow Black Black Yellow\nBlack Black Yellow Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Yellow Black Yellow\nRed Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Blue Yellow Black Black Black Black Black\nBlue Black Yellow Black Black Black Blue Black Red Black Yellow Black\nBlack Black Black Black Blue Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Yellow Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Orange Black Black Black Purple Black Black Black\nBlack Black Black Black Brown Black Black Brown Gray Brown Black Black Black Black\nBlack Black Black Orange Black Black Pink Pink Black Black Black Black Black Green\nPink Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Green Black Black Black Red Black Black Black Black Blue Black Black Purple\nBlack Black Black Pink Purple Black Black Black Black Black Black Black Black Gray\nBlack Black Blue Yellow Black Brown Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black\nYellow Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Blue Black Black Black Black Black Green Black Pink Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black\nOrange Pink Black Black Orange Black Brown Black Black Gray Black Black Black Black\nBlack Black Orange Pink Black Brown Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Blue Black Black Black Red 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```\nBlack Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Yellow Yellow Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Blue Black Black Black Black Yellow Black Black Yellow\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow\nBlack Black Yellow Red Black Yellow Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nRed Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Yellow Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Yellow Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Yellow Black Black Black Blue Black Yellow Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Red Black Black Black Black Red Black Red Green Red Black\nBlack Red Red Red Black Black Green Green Red Green Red Black\nRed Red Red Red Red Red Red Black Green Green Black Black\nBlack Black Red Red Red Red Blue Green Red Green Red Black\nBlack Red Black Red Black Red Blue Green Green Green Red Black\nBlack Red Red Red Black Blue Blue Black Black Red Black Black\nRed Red Red Black Black Red Black Black Black Red Red Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\n\n\nExample 2\nInput:\nBlack Black Red Blue Blue Black Black Red Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Red Red Black Black\nBlack Black Red Blue Blue Red Red Red Red Black\nGreen Green Green Black Black Red Black Red Red Red\nBlack Black Red Black Black Red Green Green Red Black\nRed Green Green Blue Black Red Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nRed Red Black Black Black Blue Blue Green Green Blue Green\nRed Red Black Black Black Black Blue Green Blue Red Blue\nBlack Black Blue Blue Green Blue Blue Green Green Black Green\nRed Black Blue Blue Red Green Blue Blue Red Black Black\nBlack Black Black Red Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Green Red Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\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 Red Red Green Green Black Black\nBlack Black Black Red Red Green Black Black Black\nRed Red Red Black Black Green Red Red Black\nRed Red Red Black Red Red Red Red Black\nBlack Black Red Red Red Red Red Black Black\nBlack Black Blue Black Black Black Black Black Black\nGreen Black Black Black Black Black Red Black Black\nGreen Black Blue Blue Green Red Red Red Black\nBlack Black Blue Blue Green Black Red Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Black Blue Blue Blue Blue Blue Blue Black\nBlue Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\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 Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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:\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\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 Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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```\nPink 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\nPink 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\nPink 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\nPink 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\nPink 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\nPink 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\nPink 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Blue Black Green Red\nBlack Black Black Black Black Black Blue Green Black Black\nBlack Black Black Black Black Black Red Green Green Black\nBlack Black Black Black Black Blue Green Black Black Red\nBlack Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Green Red Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Blue Black Black Black Black Blue Black Black\nBlack Black Green Black Black Black Black Green Black Black\nRed Green Black Blue Black Black Blue Black Green Red\nBlack Black Green Blue Black Black Blue Green Black Black\nBlack Green Green Red Black Black Red Green Green Black\nRed Black Black Green Blue Blue Green Black Black Red\nBlack Black Green Red Black Black Red Green Black Black\nBlack Black Black Red Green Green Red Black Black Black\nBlack Black Red Black Black Black Black Red Black Black\nBlack Blue Black Black Black Black Black Black Blue Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Blue Black Blue Black\nBlack Black Black Black Black Black Blue Black Black Green\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Blue Black\nBlack Black Black Black Black Green Black Blue Black Black\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Green Black Green\n\nOutput:\nBlack Blue Black Black Black Black Black Black Blue Black\nBlack Black Green Black Black Black Black Green Black Black\nBlack Blue Black Blue Black Black Blue Black Blue Black\nGreen Black Black Blue Black Black Blue Black Black Green\nBlack Black Black Black Red Red Black Black Black Black\nBlack Blue Black Black Blue Blue Black Black Blue Black\nBlack Black Blue Black Green Green Black Blue Black Black\nRed Red Black Black Black Black Black Black Red Red\nBlack Black Black Red Black Black Red Black Black Black\nGreen Black Green Black Red Red Black Green Black Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Black Green Black\nBlack Black Black Black Black Red Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Red Black Green\nBlack Black Black Black Black Black Black Red Blue Red\nBlack Black Black Black Black Black Black Green Black Black\n\nOutput:\nBlack Black Red Green Black Black Green Red Black Black\nBlack Green Black Red Black Black Red Black Green Black\nBlack Blue Black Black Red Red Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Red Black\nGreen Black Black Black Black Black Black Black Black Green\nBlack Black Black Blue Blue Blue Blue Black Black Black\nGreen Black Red Black Black Black Black Red Black Green\nRed Blue Red Black Black Black Black Red Blue Red\nBlack Black Green Black Black Black Black Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Red Green Black\nBlack Black Black Black Black Red Black Red Black Black\nBlack Black Black Black Black Black Black Blue Red Black\nBlack Black Black Black Black Green Red Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Blue Black\nBlack Black Black Black Black Black Red Black Green Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Green Black Black Black Black Green Black Black\nBlack Green Red Black Black Black Black Red Green Black\nBlack Black Red Black Red Red Black Red Black Black\nBlack Red Blue Black Black Black Black Blue Red Black\nBlack Green Black Red Green Green Red Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Red Black Black Red Black Blue Black\nBlack Green Black Red Black Black Red Black Green Black\nBlack Black Red Red Black Black Red Red Black Black\nBlack Red Black Black Black Black Black Black Red Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black\nYellow Orange Gray Black Black Black Black Black\nYellow Black Gray Red Blue Blue Black Black\nBlack Black Black Black Black Blue Orange Black\nBlack Black Black Black Orange Blue Orange Orange\nBlack Black Black Brown Green Blue Blue Black\nBlack Black Black Black Green Blue Blue Gray\nBlack Black Black Black Black Pink Pink Orange\nBlack Black Black Black Black Black Pink Orange\n\nOutput:\nBlack Black Black Black Black Black Pink Orange\nBlack Black Black Black Black Pink Pink Orange\nBlack Black Black Black Green Blue Blue Gray\nBlack Black Black Brown Green Blue Blue Black\nBlack Black Black Black Orange Blue Orange Orange\nBlack Black Black Black Black Blue Orange Black\nYellow Black Gray Red Blue Blue Black Black\nYellow Orange Gray Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black\nYellow Orange Gray Black Black Black Black Black\nYellow Black Gray Red Blue Blue Black Black\nBlack Black Black Black Black Blue Orange Black\nBlack Black Black Black Orange Blue Orange Orange\nBlack Black Black Brown Green Blue Blue Black\nBlack Black Black Black Green Blue Blue Gray\nBlack Black Black Black Black Pink Pink Orange\nBlack Black Black Black Black Black Pink Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Yellow Brown Brown Brown Blue Black\nYellow Yellow Brown Green Orange Yellow Blue\nBlack Black Black Yellow Red Red Black\nBlack Black Black Yellow Red Red Black\nYellow Yellow Brown Green Orange Yellow Blue\nOrange Yellow Brown Brown Brown Blue Black\n\nOutput:\nOrange Yellow Brown Brown Brown Blue Black\nYellow Yellow Brown Green Orange Yellow Blue\nBlack Black Black Yellow Red Red Black\nBlack Black Black Yellow Red Red Black\nYellow Yellow Brown Green Orange Yellow Blue\nOrange Yellow Brown Brown Brown Blue Black\nOrange Yellow Brown Brown Brown Blue Black\nYellow Yellow Brown Green Orange Yellow Blue\nBlack Black Black Yellow Red Red Black\nBlack Black Black Yellow Red Red Black\nYellow Yellow Brown Green Orange Yellow Blue\nOrange Yellow Brown Brown Brown Blue Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGray Gray Yellow Gray Pink Gray Yellow Gray Gray\nGray Gray Red Blue Gray Blue Red Gray Gray\nGray Brown Red Red Red Red Red Brown Gray\nBlue Gray Green Brown Purple Brown Green Gray Blue\nBlue Orange Brown Brown Purple Brown Brown Orange Blue\nOrange Orange Purple Brown Orange Brown Purple Orange Orange\n\nOutput:\nOrange Orange Purple Brown Orange Brown Purple Orange Orange\nBlue Orange Brown Brown Purple Brown Brown Orange Blue\nBlue Gray Green Brown Purple Brown Green Gray Blue\nGray Brown Red Red Red Red Red Brown Gray\nGray Gray Red Blue Gray Blue Red Gray Gray\nGray Gray Yellow Gray Pink Gray Yellow Gray Gray\nGray Gray Yellow Gray Pink Gray Yellow Gray Gray\nGray Gray Red Blue Gray Blue Red Gray Gray\nGray Brown Red Red Red Red Red Brown Gray\nBlue Gray Green Brown Purple Brown Green Gray Blue\nBlue Orange Brown Brown Purple Brown Brown Orange Blue\nOrange Orange Purple Brown Orange Brown Purple Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Pink Green Black Black Black Black Black\nBlack Brown Brown Green Red Black Black Black Black\nBlack Black Orange Gray Pink Red Black Black Black\nYellow Yellow Green Brown Brown Pink Yellow Green Purple\nYellow Green Green Brown Purple Yellow Yellow Black Black\nYellow Green Brown Brown Purple Brown Black Black Black\nYellow Brown Brown Purple Purple Red Red Black Black\nGreen Red Red Purple Purple Red Red Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Red Red Purple Purple Red Red Red Black\nYellow Brown Brown Purple Purple Red Red Black Black\nYellow Green Brown Brown Purple Brown Black Black Black\nYellow Green Green Brown Purple Yellow Yellow Black Black\nYellow Yellow Green Brown Brown Pink Yellow Green Purple\nBlack Black Orange Gray Pink Red Black Black Black\nBlack Brown Brown Green Red Black Black Black Black\nBlack Pink Pink Green Black Black Black Black Black\nBlack Pink Pink Green Black Black Black Black Black\nBlack Brown Brown Green Red Black Black Black Black\nBlack Black Orange Gray Pink Red Black Black Black\nYellow Yellow Green Brown Brown Pink Yellow Green Purple\nYellow Green Green Brown Purple Yellow Yellow Black Black\nYellow Green Brown Brown Purple Brown Black Black Black\nYellow Brown Brown Purple Purple Red Red Black Black\nGreen Red Red Purple Purple Red Red Red Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Black Black Green Green Black Black Orange Orange Yellow Yellow Purple Purple Black Black Black Black Black Black\nOrange Orange Black Black Green Green Black Black Orange Orange Yellow Yellow Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Green Green Black Black Blue Blue Black Black Yellow Yellow Gray Gray Pink Pink Black Black\nBlack Black Black Black Green Green Black Black Blue Blue Black Black Yellow Yellow Gray Gray Pink Pink Black Black\nBlack Black Blue Blue Black Black Gray Gray Orange Orange Black Black Blue Blue Green Green Black Black Black Black\nBlack Black Blue Blue Black Black Gray Gray Orange Orange Black Black Blue Blue Green Green Black Black Black Black\nPurple Purple Black Black Black Black Yellow Yellow Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black\nPurple Purple Black Black Black Black Yellow Yellow Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Orange Orange Black Black Purple Purple Pink Pink Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Orange Orange Black Black Purple Purple Pink Pink Black Black\nBlack Black Green Green Black Black Red Red Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Green Green Black Black Red Red Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Blue Blue Gray Gray Black Black Brown Brown\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Blue Blue Gray Gray Black Black Brown Brown\nBlack Black Black 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 Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Black Black Green Green Black Black Orange Orange Yellow Yellow Purple Purple Black Black Black Black Black Black\nOrange Orange Black Black Green Green Black Black Orange Orange Yellow Yellow Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Green Green Black Black Blue Blue Black Black Black Black Gray Gray Pink Pink Black Black\nBlack Black Black Black Green Green Black Black Blue Blue Black Black Black Black Gray Gray Pink Pink Black Black\nBlack Black Blue Blue Black Black Gray Gray Blue Blue Blue Blue Black Black Green Green Black Black Black Black\nBlack Black Blue Blue Black Black Gray Gray Blue Blue Blue Blue Black Black Green Green Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Orange Orange Black Black Black Black Purple Purple Pink Pink Black Black\nBlack Black Black Black Black Black Brown Brown Orange Orange Black Black Black Black Purple Purple Pink Pink Black Black\nBlack Black Green Green Black Black Red Red Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Green Green Black Black Red Red Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Blue Blue Gray Gray Black Black Brown Brown\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Blue Blue Gray Gray Black Black Brown Brown\nBlack Black Black 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 Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBrown Brown Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBrown Brown 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 Blue Blue Purple Purple Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Brown Brown Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black Brown Brown\nBlack Black Gray Gray Black Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black Brown Brown\nYellow Yellow Black Black Red Red Black Black Black Black Purple Purple Black Black Black Black Blue Blue Blue Blue\nYellow Yellow Black Black Red Red Black Black Black Black Purple Purple Black Black Black Black Blue Blue Blue Blue\nGreen Green Black Black Yellow Yellow Black Black Black Black Green Green Purple Purple Black Black Black Black Pink Pink\nGreen Green Black Black Yellow Yellow Black Black Black Black Green Green Purple Purple Black Black Black Black Pink Pink\nBlack Black Green Green Black Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Green Green Black Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Black Black Blue Blue\nPurple Purple Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Black Black Blue Blue\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Gray Gray Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Green Green Black Black Black Black Gray Gray Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\n\nOutput:\nBrown Brown Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBrown Brown 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 Blue Blue Purple Purple Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Brown Brown Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black Brown Brown\nBlack Black Gray Gray Black Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black Brown Brown\nYellow Yellow Black Black Red Red Black Black Black Black Purple Purple Black Black Black Black Blue Blue Blue Blue\nYellow Yellow Black Black Red Red Black Black Black Black Purple Purple Black Black Black Black Blue Blue Blue Blue\nGreen Green Black Black Yellow Yellow Black Black Purple Purple Black Black Black Black Black Black Black Black Pink Pink\nGreen Green Black Black Yellow Yellow Black Black Purple Purple Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Green Green Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Black Black Blue Blue\nPurple Purple Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Black Black Blue Blue\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Gray Gray Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Green Green Black Black Black Black Gray Gray Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Pink Pink Green Green Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Green Green Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Brown Brown Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Purple Purple Black Black Brown Brown Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Brown Brown Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Brown Brown Black Black Black Black Gray Gray Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Green Green Blue Blue Black Black Black Black Brown Brown Black Black Black Black Gray Gray Gray Gray\nBlack Black Green Green Blue Blue Black Black Black Black Brown Brown Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red 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\nPink Pink Black Black Orange Orange Black Black Red Red Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nPink Pink Black Black Orange Orange Black Black Red Red Black Black Yellow Yellow Black Black Yellow Yellow Black Black\n\nOutput:\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Pink Pink Green Green Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Green Green Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Purple Purple 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 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 Yellow Yellow Black Black Black Black Black Black Purple Purple Black Black Gray Gray Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Purple Purple Black Black Gray Gray Black Black\nYellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red 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\nPink Pink Black Black Orange Orange Black Black Red Red Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nPink Pink Black Black Orange Orange Black Black Red Red Black Black Yellow Yellow Black Black Yellow Yellow Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Red Red Black Black Gray Gray Black Black Black Black Blue Blue Black Black Red Red\nBlack Black Black Black Red Red Black Black Gray Gray Black Black Black Black Blue Blue Black Black Red Red\nGray Gray Brown Brown Black Black Black Black Gray Gray Black Black Black Black Black Black Brown Brown Black Black\nGray Gray Brown Brown Black Black Black Black Gray Gray Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nPink Pink Black Black Black Black Brown Brown Black Black Red Red Black Black Brown Brown Orange Orange Black Black\nPink Pink Black Black Black Black Brown Brown Black Black Red Red Black Black Brown Brown Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Gray Gray Black Black Blue Blue Black Black Red Red\nBlack Black Black Black Black Black Black Black Orange Orange Gray Gray Black Black Blue Blue Black Black Red Red\nRed Red Green Green Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nRed Red Green Green Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Purple Purple Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Purple Purple Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black 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 Red Red Black Black Gray Gray Black Black Black Black Blue Blue Black Black Red Red\nBlack Black Black Black Red Red Black Black Gray Gray Black Black Black Black Blue Blue Black Black Red Red\nGray Gray Brown Brown Black Black Black Black Gray Gray Black Black Black Black Black Black Brown Brown Black Black\nGray Gray Brown Brown Black Black Black Black Gray Gray Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nPink Pink Black Black Black Black Brown Brown Black Black Black Black Black Black Brown Brown Orange Orange Black Black\nPink Pink Black Black Black Black Brown Brown Black Black Black Black Black Black Brown Brown Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Blue Blue Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Blue Blue Black Black Red Red\nRed Red Green Green Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nRed Red Green Green Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Purple Purple Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Purple Purple Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black 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 Purple\nBlack Black Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Purple Purple Purple Purple Purple\nBlack Yellow Purple Purple Purple Purple Purple\nBlack Yellow Purple Purple Purple Purple Purple\nBlack Yellow Purple Purple Purple Purple Purple\nBlack Yellow Purple Purple Purple Purple Purple\nBlack Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Pink\nBlack Black Green Green Green Green Black\nBlack Black Green Green Green Green Black\nBlack Black Green Green Green Green Black\nBlack Black Green Green Green Green Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Green Pink Pink Pink Pink Pink\nBlack Green Pink Pink Pink Pink Pink\nBlack Green Pink Pink Pink Pink Pink\nBlack Green Pink Pink Pink Pink Pink\nBlack Green Pink Pink Pink Pink Pink\nBlack Green Green Green Green Green Green\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Green Black Black Black\nBlack Black Green Green Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Green Orange Orange Orange Orange Orange\nBlack Green Orange Orange Orange Orange Orange\nBlack Green Orange Orange Orange Orange Orange\nBlack Green Orange Orange Orange Orange Orange\nBlack Green Orange Orange Orange Orange Orange\nBlack Green Green Green Green Green Green\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black\nBlack Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Pink Pink Pink Pink Pink\nBlack Gray Pink Pink Pink Pink Pink\nBlack Gray Pink Pink Pink Pink Pink\nBlack Gray Pink Pink Pink Pink Pink\nBlack Gray Pink Pink Pink Pink Pink\nBlack Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Black Black Black Black Black Black Black Black Brown\nBlack Pink Black Black Black Black Black Black Yellow Black\nBlack Black Purple Black Black Black Black Red Black Black\nBlack Black Black Blue Black Black Purple Black Black Black\nBlack Black Black Black Pink Brown Black Black Black Black\nBlack Black Black Black Orange Gray Black Black Black Black\nBlack Black Black Pink Black Black Green Black Black Black\nBlack Black Gray Black Black Black Black Brown Black Black\nBlack Yellow Black Black Black Black Black Black Blue Black\nRed Black Black Black Black Black Black Black Black Green\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Green\nBlack Blue Black Black Black Black Black Black Green Black\nBlack Black Blue Black Black Black Black Green Black Black\nBlack Black Black Blue Black Black Green Black Black Black\nBlack Black Black Black Blue Green Black Black Black Black\nBlack Black Black Black Green Blue Black Black Black Black\nBlack Black Black Green Black Black Blue Black Black Black\nBlack Black Green Black Black Black Black Blue Black Black\nBlack Green Black Black Black Black Black Black Blue Black\nGreen Black Black Black Black Black Black Black Black Blue\n\n\nExample 2\nInput:\nOrange Black Black Black Black Black Green\nBlack Yellow Black Black Black Orange Black\nBlack Black Pink Black Brown Black Black\nBlack Black Black Brown Black Black Black\nBlack Black Yellow Black Pink Black Black\nBlack Yellow Black Black Black Red Black\nGreen Black Black Black Black Black Brown\n\nOutput:\nBlue Black Black Black Black Black Green\nBlack Blue Black Black Black Green Black\nBlack Black Blue Black Green Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Green Black Blue Black Black\nBlack Green Black Black Black Blue Black\nGreen Black Black Black Black Black Blue\n\n\nExample 3\nInput:\nGreen Black Black Black Black Black Gray\nBlack Orange Black Black Black Pink Black\nBlack Black Red Black Gray Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Purple Black Blue Black Black\nBlack Brown Black Black Black Green Black\nRed Black Black Black Black Black Green\n\nOutput:\nBlue Black Black Black Black Black Green\nBlack Blue Black Black Black Green Black\nBlack Black Blue Black Green Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Green Black Blue Black Black\nBlack Green Black Black Black Blue Black\nGreen Black Black Black Black Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Black Black Black Black Red\nBlack Green Black Black Black Black Black Red Black\nBlack Black Red Black Black Black Brown Black Black\nBlack Black Black Gray Black Green Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Green Black Gray Black Black Black\nBlack Black Blue Black Black Black Pink Black Black\nBlack Yellow Black Black Black Black Black Blue Black\nBrown Black Black Black Black Black Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Black Black Black Black Black Black Green\nBlack Blue Black Black Black Black Black Green Black\nBlack Black Blue Black Black Black Green Black Black\nBlack Black Black Blue Black Green Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Green Black Blue Black Black Black\nBlack Black Green Black Black Black Blue Black Black\nBlack Green Black Black Black Black Black Blue Black\nGreen Black Black Black Black Black Black Black Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black 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\nBlack 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 Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Pink\nGreen Green Black Black Black Pink Black Black Black Black Black Orange Orange Orange Orange Black Black Purple Purple Black Pink Pink\nGreen Green Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Purple Purple Pink Pink Pink\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Pink\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nBlack Orange Orange 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 Red Red Red Red Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Orange Orange Black Black Orange Orange Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Blue Black Black Blue Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Blue Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Gray 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\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\nBrown Brown Brown Brown\nBrown Brown Brown Brown\nBrown Brown Brown Brown\nBlack Brown Brown Black\nBlack 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\nBlack Black Orange Black Black Purple Black Black Black Black Black Black Black\nBlack Orange Orange Black Purple Blue Black Orange Black Black Black Black Black\nBlack Blue Black Green Black Green Black Black Black Black Black Black Black\nBlack Blue Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Green Black Green Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Orange Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Purple Black Purple Orange Black Black Black Black Black Black\nBlack Orange Orange Blue Purple Blue Orange Orange Black Black Black Black Black\nBlack Blue Black Green Black Green Black Blue Black Black Black Black Black\nBlack Blue Black Green Black Green Black Blue Black Black Black Black Black\nBlack Black Black Green Black Green Black Black Black Black Black Black Black\nBlack Black Yellow Orange Yellow Orange Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue Red Black Black\nBlack Black Black Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Orange Black Orange Green Black\nBlack Black Black Black Black Black Black Purple Pink Black Black Black\nBlack Black Black Black Black Black Orange Yellow Yellow Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Gray Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Red Blue Black Black\nBlack Black Black Black Black Black Blue Brown Brown Brown Blue Black\nBlack Black Black Black Black Black Green Orange Black Orange Green Black\nBlack Black Black Black Black Black Black Purple Pink Purple Black Black\nBlack Black Black Black Black Black Orange Yellow Yellow Yellow Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Pink Black Black Pink Black Black Black Black Black Black Black Black\nBlack Gray Pink Purple Black Pink Gray Black Black Black Black Black Black Black\nBlack Gray Pink Black Orange Pink Black Black Black Black Black Black Black Black\nRed Orange Orange Red Red Orange Black Black Black Black Black Black Black Black\nRed Black Gray Orange Orange Black Pink Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Black Black Pink Black Black Black Black Black Black Black Black\nBlack Gray Pink Purple Purple Pink Gray Black Black Black Black Black Black Black\nBlack Gray Pink Orange Orange Pink Gray Black Black Black Black Black Black Black\nRed Orange Orange Red Red Orange Orange Red Black Black Black Black Black Black\nRed Pink Gray Orange Orange Gray Pink Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Black Orange Gray Gray Black Orange Black Black Black\nBlack Black Black Black Pink Orange Black Yellow Black Yellow Orange Pink Black Black\nBlack Black Black Pink Brown Pink Yellow Yellow Yellow Yellow Pink Brown Black Black\nBlack Black Black Black Green Pink Black Black Black Pink Pink Green Red Black\nBlack Black Black Red Green Black Green Pink Pink Black Green Black Red Black\nBlack Black Black Orange Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Orange Black Brown Black Orange Black Brown Brown Black Black Black\nBlack Black Black Black Brown Black Black Orange Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Pink Black Black Pink Gray Black Black Black\nBlack Black Black Black Black Gray Pink Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Orange Orange Gray Gray Orange Orange Pink Black Black\nBlack Black Black Black Pink Orange Yellow Yellow Yellow Yellow Orange Pink Black Black\nBlack Black Black Pink Brown Pink Yellow Yellow Yellow Yellow Pink Brown Pink Black\nBlack Black Black Red Green Pink Pink Black Black Pink Pink Green Red Black\nBlack Black Black Red Green Green Green Pink Pink Green Green Green Red Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Orange Black Brown Brown Orange Orange Brown Brown Black Orange Black\nBlack Black Black Black Brown Orange Orange Orange Orange Orange Orange Brown Black Black\nBlack Black Black Black Black Gray Pink Black Black Pink Gray Black Black Black\nBlack Black Black Black Black Gray Pink Black Black Pink 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (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 Purple Purple Blue Black\nGray Gray Brown Purple Purple Blue Black\nGray Gray Black Blue Blue Black Black\nBlack Purple Purple Black Black Blue Blue\nBlack Purple Purple Black Black Blue Blue\nBlack Black Black Black Black Black Black\nBrown Purple Yellow Black Black Gray Black\n\nOutput:\nBlack Black Black Black Black Black Black\nGray Gray Black Black Black Black Black\nGray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black\n\n\nExample 2\nInput:\nBlack Black Black Black Pink Pink Orange\nBlack Black Black Black Pink Gray Gray\nBlack Black Black Black Orange Gray Gray\nBlack Black Green Green Black Black Black\nBlack Black Green Orange Orange Black Black\nBlack Black Green Orange Orange Black Black\nPink Black Gray Green Purple Black Orange\n\nOutput:\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black\nBlack Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Orange\n\n\nExample 3\nInput:\nBlack Black Blue Blue Black Black Black\nGreen Green Blue Yellow Yellow Black Black\nGreen Green Black Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Black Black\nPink Pink Pink Yellow Yellow Blue Blue\nPink Pink Pink Gray Black Yellow Yellow\nBlue Gray Gray Yellow Green Yellow Pink\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black\nPink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Blue Black Black Black Black\nRed Blue Blue Brown Brown Brown Black\nRed Red Black Gray Gray Brown Black\nBlack Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black\nPurple Purple Gray Black Black Black Black\nPurple Blue Gray Gray Black Black Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black\nPurple Black Black Black Black Black Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nGreen Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack 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 Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack 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:\nRed Black Gray Gray Black Purple\nRed Gray Gray Gray Gray Purple\nRed Gray Gray Black Black Purple\nRed Gray Gray Black Black Purple\nRed Gray Gray Black Black Purple\nRed Black Gray Gray Gray Purple\nRed Black Gray Gray Gray Purple\n\nOutput:\nRed Red Black Gray Gray Black Purple Purple\nRed Red Gray Gray Gray Gray Purple Purple\nRed Red Gray Gray Black Black Purple Purple\nRed Red Gray Gray Black Black Purple Purple\nRed Red Gray Gray Black Black Purple Purple\nRed Red Black Gray Gray Gray Purple Purple\nRed Red Black Gray Gray Gray Purple Purple\n\n\nExample 2\nInput:\nBrown Orange Orange Orange Orange Orange Orange Green\nBrown Orange Orange Orange Orange Black Black Green\nBrown Orange Orange Orange Orange Black Black Green\nBrown Orange Orange Orange Orange Orange Orange Green\n\nOutput:\nBrown Brown Orange Orange Orange Orange Orange Orange Green Green\nBrown Brown Orange Orange Orange Orange Black Black Green Green\nBrown Brown Orange Orange Orange Orange Black Black Green Green\nBrown Brown Orange Orange Orange Orange Orange Orange Green Green\n\n\nExample 3\nInput:\nGray Brown Brown Black Black Black Red\nGray Brown Brown Brown Black Black Red\nGray Brown Brown Brown Brown Black Red\nGray Brown Brown Brown Brown Brown Red\nGray Brown Brown Brown Brown Brown Red\n\nOutput:\nGray Gray Brown Brown Black Black Black Red Red\nGray Gray Brown Brown Brown Black Black Red Red\nGray Gray Brown Brown Brown Brown Black Red Red\nGray Gray Brown Brown Brown Brown Brown Red Red\nGray Gray Brown Brown Brown Brown Brown Red Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Blue Blue Brown\nRed Blue Blue Blue Brown\nRed Black Blue Blue Brown\nRed Blue Blue Blue Brown\nRed Blue Blue Blue Brown\nRed Black Blue Blue Brown\nRed Blue Blue Blue Brown\nRed Black Blue Blue 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 Red Black Blue Blue Brown Brown\nRed Red Blue Blue Blue Brown Brown\nRed Red Black Blue Blue Brown Brown\nRed Red Blue Blue Blue Brown Brown\nRed Red Blue Blue Blue Brown Brown\nRed Red Black Blue Blue Brown Brown\nRed Red Blue Blue Blue Brown Brown\nRed Red Black Blue Blue Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Black Orange Orange Black Orange Black\nBlack Black Orange Black Orange Black Orange Black\nBlack Orange Black Orange Black Black Orange Black\nBlack Orange Orange Black Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Black\nBlack Black Orange Black Orange Orange Black Orange\nOrange Orange Orange Black Orange Orange Orange Black\nPink Pink Black Pink Black Pink Black Black\nPink Black Pink Pink Black Pink Pink Black\nPink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Black Pink Black\nBlack Black Black Pink Pink Pink Black Black\nBlack Pink Pink Black Pink Pink Black Pink\nPink Black Pink Black Pink Pink Black Black\n\nOutput:\nPink Pink Black Pink Black Pink Black Black\nPink Black Pink Pink Black Pink Pink Black\nPink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Black Pink Black\nBlack Black Black Pink Pink Pink Black Black\nBlack Pink Pink Black Pink Pink Black Pink\nPink Black Pink Black Pink Pink Black Black\nOrange Orange Black Orange Orange Black Orange Black\nBlack Black Orange Black Orange Black Orange Black\nBlack Orange Black Orange Black Black Orange Black\nBlack Orange Orange Black Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Black\nBlack Black Orange Black Orange Orange Black Orange\nOrange Orange Orange Black Orange Orange Orange Black\n\n\nExample 2\nInput:\nBlack Black Orange Orange Orange Black Orange\nOrange Orange Black Orange Orange Orange Black\nOrange Black Orange Orange Black Orange Black\nBlack Orange Orange Black Orange Black Orange\nOrange Orange Orange Orange Orange Orange Black\nYellow Yellow Yellow Yellow Yellow Black Yellow\nYellow Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Black\nBlack Yellow Black Yellow Black Black Black\nYellow Yellow Black Yellow Black Black Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Black Yellow\nYellow Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Black\nBlack Yellow Black Yellow Black Black Black\nYellow Yellow Black Yellow Black Black Yellow\nBlack Black Orange Orange Orange Black Orange\nOrange Orange Black Orange Orange Orange Black\nOrange Black Orange Orange Black Orange Black\nBlack Orange Orange Black Orange Black Orange\nOrange Orange Orange Orange Orange Orange Black\n\n\nExample 3\nInput:\nBlack Gray Gray Black Gray Black Gray\nBlack Black Black Black Black Gray Gray\nGray Gray Black Black Black Gray Black\nBlack Black Black Gray Black Gray Black\nBlack Gray Black Gray Gray Black Gray\nGray Black Black Black Black Gray Black\nBlack Brown Black Brown Black Brown Brown\nBlack Brown Black Brown Black Black Brown\nBrown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Brown Black\nBlack Black Brown Black Brown Black Black\nBrown Black Brown Black Black Black Brown\n\nOutput:\nBlack Brown Black Brown Black Brown Brown\nBlack Brown Black Brown Black Black Brown\nBrown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Brown Black\nBlack Black Brown Black Brown Black Black\nBrown Black Brown Black Black Black Brown\nBlack Gray Gray Black Gray Black Gray\nBlack Black Black Black Black Gray Gray\nGray Gray Black Black Black Gray Black\nBlack Black Black Gray Black Gray Black\nBlack Gray Black Gray Gray Black Gray\nGray Black Black Black Black Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Black Pink Pink Black Black Pink Black\nPink Pink Black Pink Black Pink Pink Pink Black\nPink Black Pink Black Pink Black Black Black Black\nBlack Black Black Pink Black Black Pink Black Pink\nGray Gray Black Black Black Gray Black Black Gray\nGray Black Gray Black Black Gray Gray Black Black\nBlack Gray Black Black Gray Gray Black Gray Black\nBlack Gray Gray Black Black Gray Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Black Black Black Gray Black Black Gray\nGray Black Gray Black Black Gray Gray Black Black\nBlack Gray Black Black Gray Gray Black Gray Black\nBlack Gray Gray Black Black Gray Gray Black Black\nBlack Pink Black Pink Pink Black Black Pink Black\nPink Pink Black Pink Black Pink Pink Pink Black\nPink Black Pink Black Pink Black Black Black Black\nBlack Black Black Pink Black Black Pink Black Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Brown Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Yellow Brown Yellow Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Purple Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Orange Purple Orange Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green 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 Black Black Black Black Black\nBlack Black Black Black Black Green Orange Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Yellow Green Green Green Green Green Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Yellow Black Green Black Black Black Black Black Black Black Brown Pink Black Black Black Black Black\nBlack Black Black Yellow Brown Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Green Yellow Green Yellow Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Green Black Black Black Black Pink Brown Pink Black Black Black Black\nBlack Black Black Yellow Green Yellow Green Yellow Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Brown Pink Brown Pink Brown Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Gray 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\nBlack Black Black Black Black Black Black Black Black Black Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Red Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Purple Red Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Green Red Green Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Gray Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Pink Gray Pink Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Red Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Brown Red Brown Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red 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 Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Orange Orange\nBlack Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Orange Orange Orange Orange Black Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Black Orange Orange Orange Orange Black\nBlack Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Orange Orange Black Black Black Black Orange Orange Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Orange Orange\nBlack Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Orange Orange Orange Orange Black Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Black Orange Orange Orange Orange Black\nBlack Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Orange Orange Black Black Black Black Orange Orange Orange\n\n\nExample 2\nInput:\nOrange Black Black Green Black Black Black Green Black Black\nBlack Green Green Green Black Black Black Green Green Green\nBlack Green Green Green Green Black Green Green Green Green\nBlack Green Green Green Green Black Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Black Black Black Green Black Black\nBlack Green Green Green Black Black Black Green Green Green\nBlack Green Green Green Green Black Green Green Green Green\nBlack Green Green Green Green Black Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPurple Green Green Black Black Black Black Green Black Black\nBlack Green Green Black Black Black Black Green Green Black\nBlack Green Green Black Black Black Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green\nBlack Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Green Black Black Black Black Green Black Black\nBlack Green Green Black Black Black Black Green Green Black\nBlack Green Green Black Black Black Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green\nBlack Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Pink Pink Pink Pink Pink Pink Black Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Black Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Black Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Pink Pink Pink Pink Pink Black Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Black Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Black Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Black Pink Pink\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 Gray\nBlack Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Black\nBlack Black Blue Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Gray\nGray Gray Gray Black Black Black Black\nBlack Black Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Black\nBlack Gray Black Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Black Gray Black Black Black Black\nBlack Black Gray Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Brown\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Black Brown Brown Brown Brown Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Brown\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Black\nBlack Yellow Black Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow 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 Brown\nBrown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Black Brown Brown Brown Black\nBrown Black Brown Brown Brown Brown Black Black\nBrown Brown Brown Black Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown 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 Orange Gray Black Black Black Black Black Black Black\nPink Green Yellow Gray Black Black Black Black Black Black\nBlack Green Gray Gray Black Black Black Black Black Black\nPink Black Black Red Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Green\nBlack Black Black Blue Blue Blue Blue Blue Pink Pink\nBlack Black Black Black Black Black Blue Blue Pink Pink\nBlack Black Black Black Black Black Black Black Orange Orange\n\nOutput:\nBlack Orange Gray Black Black Black Black Black Orange Orange\nPink Green Yellow Gray Black Black Blue Blue Pink Pink\nBlack Green Gray Gray Blue Blue Blue Blue Pink Pink\nPink Brown Black Red Black Black Black Black Black Green\nBrown Brown Black Red Black Black Black Black Black Green\nBlack Green Gray Blue Blue Blue Blue Blue Pink Pink\nPink Green Yellow Gray Black Black Blue Blue Pink Pink\nBlack Orange Gray Black Black Black Black Black Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Green Green\nBlack Black Black Black Black Red Black\nBlack Black Black Black Black Black Brown\nBlack Black Black Black Gray Black Brown\nBlack Black Black Gray Gray Black Black\nBlack Black Black Gray Black Purple Black\nPurple Purple Purple Yellow Orange Black Black\nBrown Blue Green Black Red Brown Black\nPink Pink Black Green Black Black Gray\nPurple Black Yellow Green Green Yellow Yellow\n\nOutput:\nPurple Black Yellow Green Green Green Green\nPink Pink Black Green Black Red Gray\nBrown Blue Green Black Red Brown Brown\nPurple Purple Purple Yellow Gray Black Brown\nBlack Black Black Gray Gray Purple Black\nBlack Black Black Gray Gray Purple Black\nPurple Purple Purple Yellow Orange Black Brown\nBrown Blue Green Black Red Brown Brown\nPink Pink Black Green Black Red Gray\nPurple Black Yellow Green Green Yellow Yellow\n\n\nExample 3\nInput:\nYellow Green Brown Brown Purple Black Black\nYellow Green Black Black Red Black Black\nYellow Black Black Black Black Black Black\nGreen Purple Blue Blue Yellow Orange Black\nBlack Red Blue Red Black Black Yellow\nGray Orange Black Black Black Yellow Yellow\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Blue Blue Black\nBlack Black Black Black Blue Black Black\n\nOutput:\nYellow Green Brown Brown Purple Black Black\nYellow Green Black Black Red Blue Black\nYellow Black Black Black Black Yellow Black\nGreen Purple Blue Blue Yellow Orange Yellow\nBlack Red Blue Red Black Black Yellow\nGray Orange Blue Blue Yellow Yellow Yellow\nYellow Black Black Black Black Yellow Black\nYellow Green Black Black Blue Blue Black\nYellow Green Brown Brown Blue Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Yellow Yellow Black Green Black Black Black\nBlack Brown Green Green Brown Red Black Black Black\nPink Brown Orange Brown Brown Red Black Black Black\nBlack Green Gray Brown Brown Brown Purple Purple Black\nBlack Pink Pink Black Purple Purple Purple Purple Purple\nRed Red Black Black Yellow Brown Black Black Red\nBlack Pink Pink Yellow Yellow Black Black Red Black\nBlack Black Purple Black Black Black Black Red Red\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 Yellow Yellow Yellow Black Green Black Black Black\nBlack Brown Green Green Brown Red Black Red Red\nPink Brown Orange Brown Brown Red Black Red Black\nRed Green Gray Brown Brown Brown Purple Purple Red\nBlack Pink Pink Black Purple Purple Purple Purple Purple\nRed Red Gray Brown Yellow Brown Purple Purple Red\nPink Pink Pink Yellow Yellow Red Black Red Black\nBlack Brown Purple Green Brown Red Black Red Red\nBlack Yellow Yellow Yellow 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:\nBlack Black Black Pink Black Black Orange Brown Black Black Black Orange Black Yellow 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 Purple Yellow Black Black Black Orange Black Purple Black Purple Black\nBlack Black Black Black Black Black Black Brown Black Black Pink Black Black Black Black Black Pink\nBlack Black Black Black Black Black Gray Black Black Black Red Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Green Black Gray Black Black\nPurple Black 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 Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\n\nOutput:\nBlack Black Black Pink Black Black Orange Brown Black Brown Orange Black Black Pink 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 Purple Yellow Black Yellow Purple Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Red Black Black Black Green Black Black Black Black Black Purple\nBlack Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Brown Black Black Black Black\nPurple Black Green Black Black Black Black Black Black Black Black Black Black Black Green Black Purple\nBlack Black Black Black Black Black Black Black Black Black 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:\nPurple Black Black Black Black Black Black Black Black Black Red Purple Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue 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 Black Orange Black Black Pink Black Black Black Brown Black Black\nOrange 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 Orange Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Blue Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Orange Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Brown Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Blue Black Black Black Blue Black Black Black Green Black Pink\nBlack Black Black Red Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Gray Black Black Gray Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Pink Black Black Black\nBrown Black Black Black Black Black Purple Black Black Purple Black Black Black Black Black Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Purple Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Pink Black Black Black Gray Yellow Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Purple Black Black Purple Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Gray Yellow Yellow Gray Black Black Black Pink Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow\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 Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Orange Orange Orange\nBlack Black Orange Orange Orange Black Black Orange Orange Orange\nBlack Black Orange Orange Orange Black Black Orange Orange Orange\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 Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nYellow Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black 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\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 Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nOrange Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Red Red Red Black Black Black Blue 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 Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Red Red Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black\nRed Black Black Red Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Blue Blue Black Black Black Blue Blue Black Black\nBlack Blue Blue Black Black Blue Blue Blue 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 Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Red Red Black Black Black Red Red Black Black\nBlack Red Red Black Black Red Red Red Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Blue Black Blue\nBlack Black Yellow Yellow Yellow Yellow Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Blue Black Green Green Black Black\nBlack Black Blue Blue Blue Black Green Green Black Black\nBlack Black Black Black Blue Black Green Green 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 Red Black Red\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black\nBlack Black Red Black Black Blue Blue Black Black Black\nBlack Black Red Black Black Blue Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Red Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Red 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black 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 Blue\nYellow Black Black Black Black Black Blue Black\nBlack Yellow Black Black Black Blue Black Black\nBlack Black Yellow Black Blue Black Black Black\nBlack Black Black Yellow Black Black Black Black\nBlack Black Green Black Red Black Black Black\nBlack Green Black Black Black Red Black Black\nGreen Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Black Black Black Black Blue Black Black\nBlack Black Yellow Black Black Black Blue Black Black Black\nBlack Black Black Yellow Black Blue Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Green Black Red Black Black Black Black\nBlack Black Green Black Black Black Red Black Black Black\nBlack Green Black Black Black Black Black Red 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 Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Black Black Black Black Black Blue Black Black\nBlack Black Black Yellow Black Black Black Blue Black Black Black\nBlack Black Black Black Yellow Black Blue Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Green Black Red Black Black Black Black\nBlack Black Black Green Black Black Black Red Black Black Black\nBlack Black Green Black Black Black Black Black Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black Blue\nBlack Yellow Black Black Black Black Black Blue Black\nBlack Black Yellow Black Black Black Blue Black Black\nBlack Black Black Yellow Black Blue Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Green Black Red Black Black Black\nBlack Black Green Black Black Black Red Black Black\nBlack Green Black Black Black Black Black Red Black\nGreen Black Black Black Black Black Black Black Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Gray Gray Gray Black Yellow Yellow Black\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nYellow Black Black Black Black Yellow Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\n\nOutput:\nYellow\n\n\nExample 2\nInput:\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Brown Brown Black\nPurple Black Brown Brown Brown Black Black Brown Brown Brown\nGreen Black Black Brown Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Black Yellow Black\nBlack Blue Blue Blue Black Black Black Yellow Yellow Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\n\nOutput:\nPurple\n\n\nExample 3\nInput:\nRed Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Purple Black\nBlack Black Black Yellow Yellow Yellow Black Purple Purple Purple\nBlack Black Black Black Black Black Black Purple Purple Purple\nBlack Black Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Black Red Black Black Black Black Black\nBlack Black Purple Black Green Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\n\nOutput:\nRed\n\n\nHere is the input grid for the test example:\nInput:\nPurple Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Purple 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 Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow 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```\nPurple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Blue Blue Purple Purple\nBlack Black Black Black Black Black Black Black Blue Blue Purple Purple\nGray Gray Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\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 Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black\nBlue Blue Purple Purple Black Black Black Black Black Black\nBlue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Gray Gray Black Black\nBlack Black Yellow Yellow Black Black Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Red Red\nBlack Black Gray Gray Gray Gray Gray Gray Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Blue Purple Purple\nBlack Black Black Black Blue Blue Purple Purple\nBlue Blue Gray Gray Purple Purple Purple Purple\nBlue Blue Gray Gray Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Yellow Yellow\nBlack Black Black Black Purple Purple Yellow Yellow\nBlack Black Brown Brown Orange Orange Green Green\nBlack Black Brown Brown Orange Orange Green Green\n\nOutput:\nPurple Purple Purple Purple Yellow Yellow Green Green\nPurple Purple Purple Purple Yellow Yellow Green Green\nBlue Blue Purple Purple Purple Purple Orange Orange\nBlue Blue Purple Purple Purple Purple Orange Orange\nBlack Black Gray Gray Black Black Brown Brown\nBlack Black Gray Gray Black Black Brown Brown\nBlack Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Red Red Red Red Yellow Yellow\nBlack Black Red Red Red Red Yellow Yellow\nBlack Black Red Red Black Black Yellow Yellow\nBlack Black Red Red Black Black Yellow Yellow\nBlack Black Red Red Black Black Black Black\nBlack Black Red Red Black Black Black Black\nBlack Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black\nGray Gray Purple Purple Black Black Black Black\nGray Gray Purple Purple Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Blue Blue Purple Purple Purple Purple\nRed Red Red Red Red Red Blue Blue Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Gray Gray Purple Purple\nBlack Black Black Black Black Black Black Black Gray Gray Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Black Black Orange Orange Orange Orange\nBlack Black Purple Purple Black Black Orange Orange Orange Orange\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black\nPurple Purple Orange Orange Black Black Black Black Black Black Black Black\nPurple Purple Orange Orange Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Gray Gray\nPurple Purple Black Black Black Black Black Black Black Black Gray Gray\nPurple Purple Purple Purple Purple Purple Green Green Black Black Gray Gray\nPurple Purple Purple Purple Purple Purple Green Green Black Black Gray Gray\nBlack Black Black Black Black Black Green Green Green Green Gray Gray\nBlack Black Black Black Black Black Green Green Green Green Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Black Brown Black Purple Black Purple Black Yellow Black Purple\nBlack Purple Black Yellow Black Blue Black Gray Black Purple Black\nBlue Black Gray Black Yellow Black Purple Black Blue Black Gray\nBlack Brown Black Purple Black Brown Black Brown Black Gray Black\nYellow Black Yellow Black Blue Black Purple Black Blue Black Yellow\nBlack Yellow Black Blue Black Yellow Black Gray Black Purple Black\nBlue Black Brown Black Gray Black Purple Black Gray Black Yellow\nBlack Yellow Black Gray Black Blue Black Gray Black Purple Black\nBlue Black Gray Black Purple Black Purple Black Yellow Black Gray\nBlack Gray Black Yellow Black Brown Black Brown Black Brown Black\nPurple Black Yellow Black Blue Black Gray Black Gray Black Blue\nBlack Brown Black Purple Black Blue Black Blue Black Gray Black\nBrown Black Yellow Black Gray Black Blue Black Blue Black Purple\n\nOutput:\nBrown Yellow Yellow Blue Yellow Blue Gray Purple Brown Brown Purple\nBrown Yellow Yellow Blue Yellow Blue Gray Purple Brown Brown Black\nBrown Yellow Yellow Blue Yellow Blue Gray Purple Brown Brown Gray\nBrown Yellow Yellow Blue Yellow Blue Gray Purple Brown Brown Black\nBrown Yellow Yellow Blue Yellow Blue Gray Purple Brown Brown Yellow\nBrown Yellow Yellow Blue Yellow Blue Gray Purple Brown Brown Black\nBrown Yellow Yellow Blue Yellow Blue Gray Purple Brown Brown Yellow\nBrown Yellow Yellow Blue Yellow Blue Gray Purple Brown Brown Black\nBrown Yellow Yellow Blue Yellow Blue Gray Purple Brown Brown Gray\nBrown Yellow Yellow Blue Yellow Blue Gray Purple Brown Brown Black\nBrown Yellow Yellow Blue Yellow Blue Gray Purple Brown Brown Blue\nBrown Yellow Yellow Blue Yellow Blue Gray Purple Brown Brown Black\nBrown Yellow Yellow Blue Yellow Blue Gray Purple Brown Brown Purple\n\n\nExample 2\nInput:\nBlack Orange Black Gray Black Pink Black Orange Black Purple Black Purple Black\nPurple Black Pink Black Pink Black Purple Black Purple Black Pink Black Green\nBlack Orange Black Purple Black Green Black Green Black Orange Black Orange Black\nPurple Black Green Black Orange Black Pink Black Orange Black Gray Black Purple\nBlack Green Black Orange Black Green Black Gray Black Pink Black Gray Black\nPurple Black Gray Black Purple Black Purple Black Purple Black Gray Black Pink\nBlack Pink Black Gray Black Purple Black Pink Black Pink Black Gray Black\nGreen Black Pink Black Gray Black Green Black Green Black Green Black Pink\nBlack Pink Black Green Black Purple Black Pink Black Purple Black Orange Black\nGray Black Purple Black Gray Black Orange Black Orange Black Orange Black Orange\n\nOutput:\nBlack Orange Black Purple Orange Purple Green Purple Pink Green Pink Gray Black\nPurple Black Pink Purple Orange Purple Green Purple Pink Green Pink Gray Green\nBlack Orange Black Purple Orange Purple Green Purple Pink Green Pink Gray Black\nPurple Black Green Purple Orange Purple Green Purple Pink Green Pink Gray Purple\nBlack Green Black Purple Orange Purple Green Purple Pink Green Pink Gray Black\nPurple Black Gray Purple Orange Purple Green Purple Pink Green Pink Gray Pink\nBlack Pink Black Purple Orange Purple Green Purple Pink Green Pink Gray Black\nGreen Black Pink Purple Orange Purple Green Purple Pink Green Pink Gray Pink\nBlack Pink Black Purple Orange Purple Green Purple Pink Green Pink Gray Black\nGray Black Purple Purple Orange Purple Green Purple Pink Green Pink Gray Orange\n\n\nExample 3\nInput:\nPink Black Green Black Gray Black Pink Black Green Black Green Black Pink Black\nBlack Green Black Gray Black Gray Black Gray Black Pink Black Gray Black Gray\nGray Black Pink Black Gray Black Gray Black Gray Black Green Black Pink Black\nBlack Pink Black Green Black Gray Black Pink Black Pink Black Green Black Pink\nGreen Black Green Black Green Black Pink Black Pink Black Pink Black Gray Black\nBlack Green Black Green Black Gray Black Green Black Green Black Pink Black Pink\nGreen Black Gray Black Green Black Pink Black Pink Black Pink Black Gray Black\nBlack Green Black Gray Black Pink Black Gray Black Green Black Green Black Green\nGray Black Gray Black Green Black Green Black Gray Black Pink Black Green Black\nBlack Gray Black Pink Black Gray Black Gray Black Green Black Pink Black Gray\n\nOutput:\nPink Black Green Black Green Gray Pink Green Green Green Green Gray Gray Black\nBlack Green Black Gray Green Gray Pink Green Green Green Green Gray Gray Gray\nGray Black Pink Black Green Gray Pink Green Green Green Green Gray Gray Black\nBlack Pink Black Green Green Gray Pink Green Green Green Green Gray Gray Pink\nGreen Black Green Black Green Gray Pink Green Green Green Green Gray Gray Black\nBlack Green Black Green Green Gray Pink Green Green Green Green Gray Gray Pink\nGreen Black Gray Black Green Gray Pink Green Green Green Green Gray Gray Black\nBlack Green Black Gray Green Gray Pink Green Green Green Green Gray Gray Green\nGray Black Gray Black Green Gray Pink Green Green Green Green Gray Gray Black\nBlack Gray Black Pink Green Gray Pink Green Green Green Green Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Brown Black Brown Black Brown Black Gray Black Gray Black\nBlack Purple Black Red Black Purple Black Gray Black Gray Black Brown\nGray Black Brown Black Gray Black Red Black Brown Black Red Black\nBlack Purple Black Gray Black Purple Black Purple Black Red Black Red\nPurple Black Gray Black Purple Black Red Black Purple Black Purple Black\nBlack Brown Black Gray Black Purple Black Gray Black Purple Black Red\nGray Black Brown Black Brown Black Gray Black Purple Black Brown Black\nBlack Brown Black Red Black Purple Black Purple Black Purple Black Purple\nPurple Black Brown Black Red Black Brown Black Purple Black Purple Black\nBlack Purple Black Purple Black Red Black Purple Black Gray Black Red\nRed Black Gray Black Brown Black Purple Black Brown Black Red Black\nBlack Red Black Brown Black Brown Black Red Black Brown 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```\nPurple Gray Purple Purple Brown Gray Brown Purple Purple Red Red Black\nPurple Gray Purple Purple Brown Gray Brown Purple Purple Red Red Brown\nPurple Gray Purple Purple Brown Gray Brown Purple Purple Red Red Black\nPurple Gray Purple Purple Brown Gray Brown Purple Purple Red Red Red\nPurple Gray Purple Purple Brown Gray Brown Purple Purple Red Red Black\nPurple Gray Purple Purple Brown Gray Brown Purple Purple Red Red Red\nPurple Gray Purple Purple Brown Gray Brown Purple Purple Red Red Black\nPurple Gray Purple Purple Brown Gray Brown Purple Purple Red Red Purple\nPurple Gray Purple Purple Brown Gray Brown Purple Purple Red Red Black\nPurple Gray Purple Purple Brown Gray Brown Purple Purple Red Red Red\nPurple Gray Purple Purple Brown Gray Brown Purple Purple Red Red Black\nPurple Gray Purple Purple Brown Gray Brown Purple Purple Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Purple Purple Orange Orange Pink Pink Yellow Yellow Pink Pink\nYellow Yellow Purple Purple Orange Orange Pink Pink Yellow Yellow Pink Pink\nBrown Brown Purple Purple Gray Gray Yellow Yellow Orange Orange Yellow Yellow\nBrown Brown Purple Purple Gray Gray Yellow Yellow Orange Orange Yellow Yellow\nGreen Green Green Green Yellow Yellow Orange Orange Brown Brown Orange Orange\nGreen Green Green Green Yellow Yellow Orange Orange Brown Brown Orange Orange\nGray Gray Yellow Yellow Blue Blue Orange Orange Gray Gray Purple Purple\nGray Gray Yellow Yellow Blue Blue Orange Orange Gray Gray Purple Purple\nYellow Yellow Yellow Yellow Purple Purple Gray Gray Orange Orange Gray Gray\nYellow Yellow Yellow Yellow Purple Purple Gray Gray Orange Orange Gray Gray\nGreen Green Orange Orange Gray Gray Purple Purple Green Green Orange Orange\nGreen Green Orange Orange Gray Gray Purple Purple Green Green Orange Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Gray Gray Black Black\nGray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Gray Gray\n\n\nExample 2\nInput:\nGreen Green Pink Pink Orange Orange Yellow Yellow Blue Blue Red Red\nGreen Green Pink Pink Orange Orange Yellow Yellow Blue Blue Red Red\nGreen Green Pink Pink Blue Blue Gray Gray Red Red Orange Orange\nGreen Green Pink Pink Blue Blue Gray Gray Red Red Orange Orange\nBrown Brown Blue Blue Purple Purple Red Red Gray Gray Red Red\nBrown Brown Blue Blue Purple Purple Red Red Gray Gray Red Red\nBlue Blue Purple Purple Red Red Brown Brown Pink Pink Orange Orange\nBlue Blue Purple Purple Red Red Brown Brown Pink Pink Orange Orange\nBlue Blue Red Red Brown Brown Pink Pink Green Green Pink Pink\nBlue Blue Red Red Brown Brown Pink Pink Green Green Pink Pink\nRed Red Yellow Yellow Pink Pink Yellow Yellow Blue Blue Purple Purple\nRed Red Yellow Yellow Pink Pink Yellow Yellow Blue Blue Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Green Orange Orange Gray Gray Brown Brown Yellow Yellow Yellow Yellow\nGreen Green Orange Orange Gray Gray Brown Brown Yellow Yellow Yellow Yellow\nRed Red Gray Gray Blue Blue Yellow Yellow Purple Purple Yellow Yellow\nRed Red Gray Gray Blue Blue Yellow Yellow Purple Purple Yellow Yellow\nGray Gray Red Red Yellow Yellow Blue Blue Gray Gray Yellow Yellow\nGray Gray Red Red Yellow Yellow Blue Blue Gray Gray Yellow Yellow\nOrange Orange Yellow Yellow Red Red Gray Gray Blue Blue Gray Gray\nOrange Orange Yellow Yellow Red Red Gray Gray Blue Blue Gray Gray\nYellow Yellow Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink\nYellow Yellow Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink\nPurple Purple Gray Gray Red Red Pink Pink Red Red Brown Brown\nPurple Purple Gray Gray Red Red Pink Pink Red Red Brown Brown\n\nOutput:\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Black Black Gray Gray Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Pink Pink Gray Gray Green Green Pink Pink\nGray Gray Gray Gray Pink Pink Gray Gray Green Green Pink Pink\nBrown Brown Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray\nBrown Brown Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray\nPink Pink Gray Gray Pink Pink Gray Gray Brown Brown Gray Gray\nPink Pink Gray Gray Pink Pink Gray Gray Brown Brown Gray Gray\nGray Gray Pink Pink Gray Gray Brown Brown Brown Brown Brown Brown\nGray Gray Pink Pink Gray Gray Brown Brown Brown Brown Brown Brown\nBlue Blue Gray Gray Pink Pink Pink Pink Gray Gray Blue Blue\nBlue Blue Gray Gray Pink Pink Pink Pink Gray Gray Blue Blue\nGray Gray Brown Brown Brown Brown Pink Pink Purple Purple Orange Orange\nGray Gray Brown Brown Brown Brown Pink Pink Purple Purple 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```\nGray Gray Gray Gray Black Black Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Black Black Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Black Black Black Black Gray Gray Black Black Black Black\nGray Gray Black Black Black Black Gray Gray Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black 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\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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\nGray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray 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\nPurple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Orange Orange Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Red Red\nGreen Green Orange Orange Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Red Red\nPink Pink Black Black Black Black Gray Gray Blue Blue Black Black Black Black Red Red Black Black Black Black\nPink Pink Black Black Black Black Gray Gray Blue Blue Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Yellow Yellow Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Red Red Green Green Black Black Gray Gray Gray Gray\nBlack Black Purple Purple Black Black Black Black Black Black Red Red Green Green Black Black Gray Gray Gray Gray\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Green Green\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Green Green\nGray Gray Black Black Black Black Black Black Red Red Black Black Gray Gray Yellow Yellow Black Black Black Black\nGray Gray Black Black Black Black Black Black Red Red Black Black Gray Gray Yellow Yellow Black Black Black Black\nBlack Black Purple Purple Pink Pink Orange Orange Purple Purple Orange Orange Black Black Black Black Gray Gray Black Black\nBlack Black Purple Purple Pink Pink Orange Orange Purple Purple Orange Orange Black Black Black Black Gray Gray Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Red Red Black Black Black Black Black Black Brown Brown Black Black Black Black Purple Purple Black Black\nBlack Black Red Red Black Black Black Black Black Black Brown Brown Black Black Black Black Purple Purple Black Black\nGray Gray Red Red Blue Blue Green Green Black Black Black Black Purple Purple Black Black Black Black Black Black\nGray Gray Red Red Blue Blue Green Green Black Black Black Black Purple Purple 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 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 Blue Blue Brown Brown Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Brown Brown 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\n\n\nExample 2\nInput:\nBlack Black Black Black Pink Pink Gray Gray Black Black Black Black Black Black Purple Purple Blue Blue Yellow Yellow\nBlack Black Black Black Pink Pink Gray Gray Black Black Black Black Black Black Purple Purple Blue Blue Yellow Yellow\nBlack Black Black Black Pink Pink Red Red Pink Pink Red Red Black Black Red Red Black Black Black Black\nBlack Black Black Black Pink Pink Red Red Pink Pink Red Red Black Black Red Red Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Blue Blue Purple Purple Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Black Black Blue Blue Purple Purple Blue Blue Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Green Green Yellow Yellow Purple Purple Pink Pink Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Green Green Yellow Yellow Purple Purple Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Red Red Black Black Black Black Black Black Brown Brown Red Red Black Black\nPink Pink Black Black Black Black Red Red Black Black Black Black Black Black Brown Brown Red Red Black Black\nBlack Black Purple Purple Brown Brown Black Black Black Black Red Red Black Black Black Black Black Black Purple Purple\nBlack Black Purple Purple Brown Brown Black Black Black Black Red Red Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Blue Blue 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 Black\nBlack Black Black Black Black Black Orange Orange Black Black Orange Orange Blue Blue Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Orange Orange Blue Blue Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Blue Blue 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Green Green Black Black Gray Gray Black Black Orange Orange Black Black Black Black Black Black Blue Blue\nBlack Black Green Green Black Black Gray Gray Black Black Orange Orange Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Green Green Blue Blue Pink Pink Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Green Green Blue Blue Pink Pink Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Orange Orange Red Red Black Black Black Black Yellow Yellow Black Black\nBlack Black Brown Brown Black Black Black Black Orange Orange Red Red Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nPurple Purple Purple Purple Brown Brown Pink Pink Black Black Red Red Pink Pink Black Black Red Red Black Black\nPurple Purple Purple Purple Brown Brown Pink Pink Black Black Red Red Pink Pink Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Brown Brown Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Brown Brown Black Black Pink Pink Black Black\nOrange Orange Black Black Pink Pink Purple Purple Black Black Black Black Orange Orange Black Black Black Black Pink Pink\nOrange Orange Black Black Pink Pink Purple Purple Black Black Black Black Orange Orange Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Orange Orange Black Black Black Black Black Black\n\nOutput:\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 Blue Blue Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Gray Gray 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Yellow Yellow Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Yellow Yellow Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow 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 Purple Purple Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nGreen Green Gray Gray Orange Orange Gray Gray Black Black Black Black Purple Purple Black Black Black Black Pink Pink\nGreen Green Gray Gray Orange Orange Gray Gray Black Black Black Black Purple Purple Black Black Black Black Pink Pink\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Red Red Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Red Red Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Gray Gray Black Black Blue Blue Blue Blue\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Gray Gray Black Black Blue Blue Blue Blue\nBlack Black Black Black Green Green Orange Orange Black Black Black Black Black Black Blue Blue Yellow Yellow Pink Pink\nBlack Black Black Black Green Green Orange Orange Black Black Black Black Black Black Blue Blue Yellow Yellow Pink Pink\nBlue Blue Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Pink Pink Black Black Black Black Black Black Green Green Brown Brown Purple Purple\nBrown Brown Brown Brown Black Black Pink Pink Black Black Black Black Black Black Green Green Brown Brown Purple Purple\nPurple Purple Blue Blue Brown Brown Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nPurple Purple Blue Blue Brown Brown Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Red Red Red Red Black Black Red Red Red Black Black Black\nBlack Red Red Red Red Black Black Red Red Red Black Black Black\nBlack Red Red Red Red Black Black Red Red Red Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\n\n\nExample 2\nInput:\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Red Red Black Black Black Red Black\nBlack Red Red Black Red Red Red Black Black Red Red Black\nBlack Red Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Black Black Red Red Black Black\nBlack Black Black Red Red Red Black Black Red Red Black Black\nBlack Black Black Red Red Red Black Black Red Red Black Black\nBlack Black Black Red Red Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Red\nRed Red\nRed Red\nRed Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Black 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\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\n\nOutput:\nRed Red Red\nRed Red Red\nRed Red 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 Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Red\nRed 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 Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black Red Red Red Red Red Red\nBlack Black Black Black Blue Blue Red Red Black Black Red Red Red Red Red Red\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nRed Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack 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 Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Green Green Green Green Green Green\nBlack Black Black Black Green Green Green Green Black Black Green Green Green Green Green Green\nBlack Black Black Black Green Green 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\nGray Gray Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nGray Gray Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green 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 Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Red Red Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Red Red Yellow Yellow Yellow Yellow 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 Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\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 Red Red Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Red Red Red Red Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Blue Blue Black Black Black Black Red Red Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Green Green Green Green Black Black\nBlack Black Black Black Gray Gray Gray Gray Green Green Black Black Black Black Green Green Black Black\nBlack Black Black Black Gray Gray Gray Gray Green Green Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nPurple Orange Pink Yellow Pink Brown\nBlack Black Black Black Black Black\n\nOutput:\nBrown Pink Yellow Pink Orange Purple\nBrown Pink Yellow Pink Orange Purple\n\n\nExample 2\nInput:\nPink Orange Yellow Blue Red\nBlack Black Black Black Black\n\nOutput:\nRed Blue Yellow Orange Pink\nRed Blue Yellow Orange Pink\n\n\nExample 3\nInput:\nOrange Gray Brown Yellow Yellow\nBlack Black Black Black Black\n\nOutput:\nYellow Yellow Brown Gray Orange\nYellow Yellow Brown Gray Orange\n\n\nHere is the input grid for the test example:\nInput:\nGray Pink Gray Green Pink Brown Gray\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Brown Pink Green Gray Pink Gray\nGray Brown Pink Green Gray 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:\nBlack Orange Orange Black Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange\nBlack Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Black Black\nOrange Orange Orange Black Orange Black Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Black Black Black Orange Black Orange Black Orange Orange Orange Orange Black Orange Black\nOrange Orange Orange Black Orange Orange Black Black Orange Orange Black Orange Black Orange Orange Black Orange Black Orange Orange\nBlack Orange Orange Orange Black Black Black Orange Black Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black\nOrange Black Orange Orange Black Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Black Orange Black Black Black Orange\nOrange Orange Orange Black Black Orange Orange Orange Orange Orange Black Black Orange Black Orange Orange Orange Orange Black Black\nBlack Orange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Orange\nBlack Orange Black Orange Orange Orange Orange Orange Black Orange Black Black Orange Orange Orange Orange Orange Orange Orange Black\nOrange Black Black Orange Orange Orange Black Orange Black Orange Orange Black Orange Orange Black Orange Orange Orange Orange Black\nOrange Orange Orange Black Orange Orange Orange Black Orange Black Orange Black Black Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black\nOrange Orange Black Orange Orange Orange Orange Orange Orange Orange Red Orange Orange Black Orange Orange Black Black Orange Black\nOrange Orange Black Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange\nBlack Orange Orange Orange Orange Black Orange Orange Black Black Orange Black Black Orange Orange Black Orange Orange Orange Black\nOrange Orange Orange Orange Black Orange Black Orange Black Orange Orange Black Black Orange Black Orange Orange Orange Black Orange\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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Yellow Black Yellow Black Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Yellow\nYellow Black Yellow Black Black Yellow Yellow Yellow Black Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Black Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Yellow Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Yellow\nBlack Black Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black\nBlack Yellow Yellow Black Yellow Yellow Black Black Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow\nBlack Yellow Yellow Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Black Yellow Yellow\nBlack Black Yellow Yellow Black Yellow Black Yellow Yellow Red Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow Black Black\nBlack Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Yellow Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow\nBlack Yellow Black Black Black Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Yellow Yellow Black Yellow Black Yellow Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow\nYellow Black Black Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Black Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow\nYellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Yellow Black Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Black Yellow\nBlack Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Black Pink Pink Black\nPink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Pink Pink Pink Black Pink Black Black Pink\nBlack Black Pink Black Pink Pink Pink Pink Pink Pink Black Black Pink Black Black Pink Pink Pink Pink Pink\nBlack Black Black Red Pink Black Black Black Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Black Pink Black Pink Pink Black Pink Pink\nBlack Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Black\nPink Black Pink Pink Pink Black Black Pink Pink Pink Pink Pink Black Pink Black Black Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Black Pink Pink Black Pink Pink Black Pink Pink Pink Pink\nBlack Pink Black Pink Black Pink Pink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Black Pink\nPink Pink Black Pink Black Pink Black Black Black Black Black Black Black Black Pink Pink Black Pink Pink Pink\nPink Black Pink Black Black Black Pink Pink Black Pink Black Pink Pink Pink Pink Pink Black Black Pink Black\nBlack Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Black\nPink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Pink Black Black Pink Black Black Black Pink\nBlack Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink Pink Pink Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Brown Brown Black Black Black\nBlack Black Pink Pink Black Pink Pink Brown Brown Brown Brown Black Black\nBlack Black Pink Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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:\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\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\nRed Red Black Red Red Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black\nYellow Red Red Red Yellow Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Black Black Black Yellow Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Brown Brown Brown Brown Brown Brown Black Black\nRed Red Red Red Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\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 Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Pink Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black 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```\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack 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\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Purple Black Black Black Black Blue Blue Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack 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\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Purple Black Black Black Black Blue Blue Blue 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 Pink Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Orange Orange Orange Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Orange Black Orange Black Black Black Black\nBlack Black Black Pink Pink Pink Purple Purple Black Purple Black Black Black Black Black\nBlack Black Black Black Pink Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Purple Black Purple Purple Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Red Red Red Black Black Black Black\nBlack Black Gray Gray Gray Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Orange Orange Black Black Black Black Pink Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue 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\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 Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue 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\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 Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Brown Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nYellow Black Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Black Yellow Yellow Yellow Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange 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 Blue Blue Black Black Black Black Black\nYellow Black Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Black Yellow Yellow Yellow Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Red Pink Gray Yellow Pink Red Purple\nRed Gray Purple Yellow Gray Blue Orange Orange\nPink Pink Orange Pink Green Blue Gray Pink\nPink Red Red Green Blue Orange Green Orange\nGray Yellow Yellow Pink Gray Yellow Pink Red\nPink Orange Red Gray Pink Purple Red Pink\nRed Blue Green Orange Blue Pink Pink Red\nBlue Gray Pink Yellow Gray Orange Pink Red\n\nOutput:\nRed Yellow Orange Pink Blue Orange Yellow Green\nYellow Pink Green Blue Pink Purple Gray Gray\nOrange Orange Gray Orange Red Purple Pink Orange\nOrange Yellow Yellow Red Purple Gray Red Gray\nPink Blue Blue Orange Pink Blue Orange Yellow\nOrange Gray Yellow Pink Orange Green Yellow Orange\nYellow Purple Red Gray Purple Orange Orange Yellow\nPurple Pink Orange Blue Pink Gray Orange Yellow\n\n\nExample 2\nInput:\nGray Green Green Purple Pink Red Pink\nRed Blue Yellow Green Gray Red Purple\nBlue Pink Orange Yellow Green Red Red\nRed Yellow Green Pink Orange Gray Red\nPurple Blue Orange Red Orange Green Pink\nGreen Yellow Blue Green Purple Pink Purple\nPurple Green Gray Yellow Orange Green Blue\n\nOutput:\nPink Red Red Green Orange Yellow Orange\nYellow Purple Blue Red Pink Yellow Green\nPurple Orange Gray Blue Red Yellow Yellow\nYellow Blue Red Orange Gray Pink Yellow\nGreen Purple Gray Yellow Gray Red Orange\nRed Blue Purple Red Green Orange Green\nGreen Red Pink Blue Gray Red Purple\n\n\nExample 3\nInput:\nBlue Orange Blue Red Gray Purple Pink Gray Purple\nGray Pink Blue Red Orange Blue Blue Purple Yellow\nRed Green Gray Pink Green Yellow Blue Gray Green\nOrange Red Yellow Purple Green Purple Purple Orange Blue\nPurple Yellow Pink Orange Orange Pink Gray Yellow Yellow\nPurple Blue Orange Gray Red Red Orange Pink Orange\nGreen Gray Gray Green Yellow Green Gray Gray Pink\n\nOutput:\nPurple Gray Purple Yellow Pink Green Orange Pink Green\nPink Orange Purple Yellow Gray Purple Purple Green Blue\nYellow Red Pink Orange Red Blue Purple Pink Red\nGray Yellow Blue Green Red Green Green Gray Purple\nGreen Blue Orange Gray Gray Orange Pink Blue Blue\nGreen Purple Gray Pink Yellow Yellow Gray Orange Gray\nRed Pink Pink Red Blue Red Pink Pink Orange\n\n\nHere is the input grid for the test example:\nInput:\nGreen Gray Gray Green Blue Orange Pink Red Blue\nOrange Orange Pink Orange Green Orange Yellow Orange Purple\nGray Yellow Gray Purple Yellow Blue Red Green Blue\nRed Gray Orange Red Orange Green Pink Red Red\nYellow Green Green Green Purple Blue Orange Yellow Green\nBlue Green Purple Orange Blue Blue Purple Red Purple\nYellow Red Green Orange Gray Gray Pink Yellow Orange\nGray Purple Gray Gray Pink Gray Green Gray Orange\nGray Yellow Yellow Gray Pink Yellow Pink Blue Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Pink Pink Red Purple Gray Orange Yellow Purple\nGray Gray Orange Gray Red Gray Blue Gray Green\nPink Blue Pink Green Blue Purple Yellow Red Purple\nYellow Pink Gray Yellow Gray Red Orange Yellow Yellow\nBlue Red Red Red Green Purple Gray Blue Red\nPurple Red Green Gray Purple Purple Green Yellow Green\nBlue Yellow Red Gray Pink Pink Orange Blue Gray\nPink Green Pink Pink Orange Pink Red Pink Gray\nPink Blue Blue Pink Orange Blue Orange Purple Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black Gray Gray\nBlack Black Black Black Pink Pink Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow 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 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 Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Gray Gray\nBlack Black Black Black Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Purple Purple Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Orange Orange Black Black\n\nOutput:\nBlack Black Black Black Black Black Purple Purple Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nGray Gray Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nGray Gray Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Orange Orange 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 Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Red Red Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Red Red Black Black Black Black\nBrown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBrown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Red Red Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Red Red Black Black Black Black\nBrown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBrown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Yellow Yellow Red Red Pink Pink Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Yellow Yellow Red Red 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 Gray Gray Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray 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\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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\nGreen Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Yellow Yellow Red Red Pink Pink Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Yellow Yellow Red Red Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black Blue Blue Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Red Red Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Red Red 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Red Red Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Red Red Black Black Black Black Black Black Pink Pink 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\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Red Red Blue Blue Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black Red Red Blue Blue Black Black Black Black Blue Blue 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\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Red Red Purple Purple Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black Red Red Purple Purple Black Black Black Black Pink Pink Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red\nBlack Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Red Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Red Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Pink Pink Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red 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 Red Red Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Purple Purple Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Purple Purple Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Red Purple Purple Black Black Black Black Black Black Black Black Black Black Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Blue Blue Black Black Blue Blue Red Red Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Black Black Blue Blue Red Red Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red 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\nBlue Blue Red Red Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Red Red Black Black Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Pink Pink Black Black Purple Purple Red Red Black Black Black Black Pink Pink\nBlack Black Black Black Pink Pink Black Black Purple Purple Red Red Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red 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\nPurple Purple Red Red Black Black Red Red Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Red Red Black Black Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 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 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Black Gray\nBlack Black Gray Black Gray\nGray Black Yellow Black Gray\nGray Gray Gray Gray Black\nBlack Gray Gray Gray Black\n\nOutput:\nYellow Yellow Yellow Black Yellow\nBlack Black Yellow Black Yellow\nYellow Black Black Black Yellow\nYellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Black\n\n\nExample 2\nInput:\nBlack Black Gray Gray Black\nGray Gray Black Black Gray\nGray Gray Green Gray Black\nGray Gray Gray Gray Black\nBlack Gray Gray Black Gray\n\nOutput:\nBlack Black Green Green Black\nGreen Green Black Black Green\nGreen Green Black Green Black\nGreen Green Green Green Black\nBlack Green Green Black Green\n\n\nExample 3\nInput:\nBlack Black Black Gray Gray\nBlack Black Gray Black Black\nBlack Gray Green Black Gray\nBlack Black Black Gray Black\nGray Gray Gray Black Gray\n\nOutput:\nBlack Black Black Green Green\nBlack Black Green Black Black\nBlack Green Black Black Green\nBlack Black Black Green Black\nGreen Green Green Black Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Gray Gray Gray\nBlack Gray Gray Gray Black\nBlack Gray Gray Black Black\nBlack Gray Gray Black Gray\nGray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Gray Gray Gray\nBlack Gray Gray Gray Black\nBlack Gray Black Black Black\nBlack Gray Gray Black Gray\nGray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Pink Pink Yellow Black Black\nBlack Black Black Black Black Orange Black Pink Black Green Black Black\nBlack Black Black Black Black Red Black Pink Brown Red Red Black\nBlack Black Black Black Black Red Black Pink Pink Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Gray Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Pink Pink Pink Black Black\nBlack Black Black Black Black Orange Black Pink Black Pink Black Black\nBlack Black Black Black Black Red Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Red Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Gray Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Purple Purple Blue Red Red Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Blue Blue Blue Black Black Black Black\nBlack Black Yellow Pink Black Black Black Black Red Black Black Black Black\nBlack Black Yellow Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Red Orange Orange Red Black Black Black Black\nBlack Black Black Black Black Red Orange Orange Red Black Black Black Black\nBlack Brown Red Yellow Blue Green Purple Purple Green Black Black Black Black\nBlack Black Green Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Green Brown Brown Brown Black Black Black Black Black Black Black\nBlack Brown Red Yellow Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Purple Purple Blue Red Red Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Blue Blue Blue Black Black Black Black\nBlack Black Yellow Pink Black Black Black Black Red Black Black Black Black\nBlack Black Yellow Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Blue Brown Black Black Black Black Black Black\nBlack Black Black Blue Blue 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 Yellow Yellow Brown Green Black Black Black\nBlack Black Black Black Yellow Yellow Gray Purple Black Black Black\nBlack Black Black Black Orange Purple Purple Purple Black Black Black\nBlack Black Black Black Yellow Yellow Gray Purple Black Black Black\nBlack Black Black Black Yellow Yellow Brown Green Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Pink Yellow Yellow Black Black Black Black Black Black\nBlack Black Pink Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Brown Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Yellow Pink Black Black Black Black Black Black\nBlack Black Black Yellow Pink Black Black Black Blue Orange Blue\nBlack Black Black Yellow Pink Black Black Black Blue Orange Blue\nBlack Black Black Yellow Pink Black Blue Black Orange Orange Orange\nBlack Black Black Yellow Pink Black Black Black Brown Black Brown\nBlack Black Black Black Black Black Black Black Blue Blue Black\nBlack Brown Pink Green Red Pink Black Pink Pink Pink Pink\nBlack Brown Pink Green Purple Pink Black Orange Pink Pink Orange\nBlack Brown Pink Green Purple Pink Black Orange Red Red Orange\nBlack Brown Pink Green Red Pink Black Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Yellow Pink Black Black Black Black Black Black\nBlack Black Black Yellow Pink Black Black Black Blue Blue Blue\nBlack Black Black Yellow Pink Black Black Black Blue Blue Blue\nBlack Black Black Yellow Pink Black Blue Black Blue Blue Blue\nBlack Black Black Yellow Pink Black Black Black Blue Black Blue\nBlack Black Black Black Black Black Black Black Blue Blue Black\nBlack Brown Pink Green Red Pink Black Blue Blue Blue Blue\nBlack Brown Pink Green Purple Pink Black Blue Blue Blue Blue\nBlack Brown Pink Green Purple Pink Black Blue Blue Blue Blue\nBlack Brown Pink Green Red Pink Black 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:\nGray Red Green Gray Pink Pink Green\nRed Purple Purple Pink Green Yellow Brown\nPink Brown Brown Red Blue Yellow Brown\nYellow Red Brown Pink Purple Pink Pink\nPink Gray Brown Pink Gray Pink Red\nBrown Red Gray Yellow Blue Red Red\nPink Pink Gray Green Gray Blue Pink\n\nOutput:\nBlue Gray Gray Purple Green Green Purple\nPurple Red Red Purple Purple Green Yellow\nPurple Blue Yellow Brown Pink Yellow Pink\nPink Purple Green Purple Purple Red Blue\nBlue Brown Gray Gray Gray Pink Pink\nGreen Brown Gray Green Pink Green Purple\nPink Green Purple Red Purple Gray Purple\n\n\nExample 2\nInput:\nYellow Brown Pink\nGreen Brown Gray\nYellow Blue Green\n\nOutput:\nPurple Pink Blue\nGray Gray Yellow\nRed Blue Red\n\n\nExample 3\nInput:\nRed Blue Gray Gray\nGray Red Green Blue\nGreen Brown Blue Yellow\nYellow Blue Brown Red\n\nOutput:\nPink Yellow Red Green\nPink Blue Yellow Gray\nYellow Green Gray Yellow\nGreen Pink Blue Red\n\n\nHere is the input grid for the test example:\nInput:\nYellow Brown Purple Yellow\nBrown Blue Green Pink\nBrown Yellow Blue Purple\nPurple Yellow Gray Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Purple Brown Red\nBrown Blue Yellow Pink\nGray Yellow Red Red\nRed Gray Gray Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Purple Purple Purple Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Purple Purple Purple Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Purple Purple Purple Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Pink Pink Pink Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Pink Pink Pink Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Pink Pink Pink Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Green Green Green Brown Brown Brown Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Green Green Green Brown Brown Brown Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Green Green Green Brown Brown Brown Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Green Green Green Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Green Green Green Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Green Green Green Gray Gray Gray Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Black Black Black Blue Blue Blue Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Black Black Black Blue Blue Blue Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Black Black Black Blue Blue Blue Orange Orange Orange\nRed Red Red Orange Orange Orange Black Black Black Orange Orange Orange Red Red Red\nRed Red Red Orange Orange Orange Black Black Black Orange Orange Orange Red Red Red\nRed Red Red Orange Orange Orange Black Black Black Orange Orange Orange Red Red Red\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\n\nOutput:\nPurple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Purple Purple Purple\nGreen Green Green Purple Purple Purple Green Green Green Purple Purple Purple Green Green Green\nGreen Green Green Purple Purple Purple Green Green Green Purple Purple Purple Green Green Green\nGreen Green Green Purple Purple Purple Green Green Green Purple Purple Purple Green Green Green\nPurple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\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 Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray\nGray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray\nGray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray\n\nOutput:\nPink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink\nPink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink\nPink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink\nPink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink\nPink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input 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 Pink Pink Pink Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Purple\nBlack Black Black Black Black Black Red Black\nBlack Blue Pink Black Black Red Black Black\nBlack Blue Blue Yellow Blue Black Black Black\nBlack Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Blue Yellow Black Black Black Black\nBlue Blue Pink Black Blue Red Black Black\nBlue Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Purple\n\nOutput:\nBlack Black Black Black Black Black Black Purple\nBlue Black Black Black Black Red Red Red\nBlue Blue Pink Black Blue Red Black Black\nBlack Blue Blue Yellow Blue Black Black Black\nBlack Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Black\nBlack Blue Blue Yellow Blue Black Black Black\nBlue Blue Pink Black Blue Red Black Black\nBlue Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Purple\n\n\nExample 2\nInput:\nBlack Brown Brown Brown Brown Black\nBlack Black Gray Gray Black Black\nBlue Black Gray Gray Gray Blue\nPurple Yellow Red Black Black Purple\nBlack Yellow Black Red Yellow Black\nBlue Black Gray Black Gray Black\nBlack Black Gray Gray Black Black\nBlack Brown Brown Brown Brown Black\n\nOutput:\nBlack Brown Brown Brown Brown Black\nBlack Black Gray Gray Black Black\nBlue Black Gray Gray Gray Blue\nPurple Yellow Red Red Yellow Purple\nPurple Yellow Red Red Yellow Purple\nBlue Black Gray Gray Gray Blue\nBlack Black Gray Gray Black Black\nBlack Brown Brown Brown Brown Black\n\n\nExample 3\nInput:\nPurple Orange Pink Red Red Black\nBlack Orange Black Blue Red Black\nBlack Orange Black Purple Black Purple\nGray Black Blue Black Red Red\nPurple Orange Pink Red Red Black\nPurple Orange Black Red Red Black\nGray Orange Blue Blue Red Red\nPink Orange Black Purple Black Purple\nGray Black Blue Blue Red Black\nBlack Black Pink Red Red Black\n\nOutput:\nPurple Orange Pink Red Red Black\nGray Orange Blue Blue Red Black\nPink Orange Black Purple Black Purple\nGray Orange Blue Blue Red Red\nPurple Orange Pink Red Red Black\nPurple Orange Pink Red Red Black\nGray Orange Blue Blue Red Red\nPink Orange Black Purple Black Purple\nGray Orange Blue Blue Red Black\nPurple Orange Pink Red Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Orange Orange Blue Black Black Black Black\nOrange Orange Black Black Black Brown Blue Black\nBlack Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Blue\nOrange Orange Black Black Black Brown Blue Black\nBlack Black Orange Black Orange Orange 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 Orange Orange Blue Orange Orange Blue Black\nOrange Orange Black Black Black Brown Blue Black\nBlack Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Blue\nOrange Orange Black Black Black Brown Blue Black\nBlack Orange Orange Blue Orange Orange Blue Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Yellow Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Yellow\nBlack Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black\nBlack Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Black\nBlack Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black\nBlack Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Blue Black Blue Blue 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 Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Blue Black Blue Blue 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 Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow 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 Pink Black Black Black Blue Black Black\nBlack Purple Black Black Black Yellow Black Black Gray\nBlack Black Orange Black Orange Purple Black Black Black\nRed Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Purple Black Black Pink\nBlack Orange Black Yellow Orange Black Black Black Black\nPurple Black Black Orange Black Black Black Yellow Black\nBlue Orange Black Black Orange Black Black Black Black\nBlack Gray Black Black Black Black Black Pink Black\n\nOutput:\nPurple Pink Pink Pink Yellow Blue Blue Blue Gray\nPurple Pink Pink Pink Yellow Blue Blue Blue Gray\nPurple Purple Purple Orange Yellow Yellow Yellow Gray Gray\nRed Orange Orange Orange Orange Orange Purple Pink Pink\nRed Red Orange Yellow Purple Purple Purple Pink Pink\nOrange Orange Orange Yellow Purple Purple Purple Pink Pink\nOrange Orange Orange Yellow Yellow Orange Yellow Yellow Yellow\nPurple Purple Orange Orange Orange Orange Yellow Yellow Yellow\nBlue Blue Orange Orange Orange Orange Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Purple Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Green\nPink Green Black Black Black Blue Black Black Black\nBlack Pink Green Black Red Black Black Black Yellow\nPurple Black Black Brown Black Black Black Black Yellow\nBlack Black Black Pink Gray Black Purple Blue Black\nBlack Black Purple Black Black Black Black Black Yellow\nBlack Pink Black Black Purple Black Brown Brown Black\nBlack Black Black Black Red Black Red Black Orange\n\nOutput:\nBlack Purple Purple Purple Black Black Black Blue Blue\nPink Purple Purple Purple Blue Blue Blue Blue Blue\nPink Pink Green Green Blue Blue Blue Green Green\nPink Pink Green Green Blue Blue Blue Yellow Yellow\nPink Pink Pink Green Red Red Purple Yellow Yellow\nPurple Purple Brown Brown Brown Gray Purple Yellow Yellow\nPink Purple Pink Pink Pink Gray Purple Purple Blue\nPink Purple Purple Purple Purple Purple Brown Yellow Yellow\nPink Pink Pink Purple Purple Purple Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Gray Yellow Brown Black Gray Black Black Black\nYellow Green Yellow Brown Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black\nGray Black Black Gray Black Black Purple Black Black\nBlack Black Black Black Yellow Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Orange\nBlack Black Black Brown Black Black Black Black Yellow\nBlack Black Gray Pink Blue Black Red Black Black\n\nOutput:\nGray Gray Gray Yellow Brown Gray Gray Black Black\nGray Gray Gray Yellow Brown Gray Gray Black Black\nYellow Yellow Green Yellow Brown Purple Purple Purple Black\nGreen Green Green Gray Gray Purple Purple Purple Black\nGray Gray Gray Gray Gray Purple Purple Purple Black\nOrange Orange Brown Yellow Yellow Yellow Black Orange Orange\nOrange Orange Brown Brown Brown Black Black Orange Orange\nBrown Brown Brown Brown Brown Blue Red Orange Orange\nBlack Gray Brown Brown Brown Blue Red Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nGray Blue Purple Pink Black Black Black Pink Red\nBlack Black Black Black Black Black Black Black Gray\nYellow Black Orange Black Brown Black Black Black Red\nBlack Black Black Black Orange Black Black Black Black\nBlue Black Black Yellow Black Blue Black Black Brown\nBlack Black Black Black Purple Black Black Green Black\nGreen Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Purple Black Orange Black\nBlack Gray Gray Black Black Black Black Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Blue Purple Pink Black Pink Pink Pink\nGray Gray Blue Purple Pink Brown Pink Pink Pink\nYellow Yellow Orange Orange Brown Brown Black Gray Gray\nYellow Yellow Orange Orange Brown Brown Blue Red Red\nBlue Blue Yellow Orange Orange Orange Blue Brown Brown\nBlue Blue Yellow Yellow Yellow Blue Blue Brown Brown\nGreen Green Black Purple Purple Purple Green Green Green\nGreen Green Gray Gray Purple Purple Purple Blue Blue\nGray Gray Gray Gray Purple Purple Purple Orange Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black 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 Black Black Black 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 Black Black Black 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 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 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nRed Red Red Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Red Red Red Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Red Red Red Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Orange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange\nBlue Blue Blue Orange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange\nBlue Blue Blue Orange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nRed Red Red Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Red Red Red Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Red Red Red Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Red Red Red Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black 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 Black Black Black 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 Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black 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 Black Black Black 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 Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\n\n\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```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Black Black Black Black\nPurple Purple Purple Black Black Black Black\nPurple Purple Purple Yellow Yellow Black Black\nPurple Purple Purple Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Purple Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPink 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 Black Black\nBlack Green Green Green Green Black Black\nBlack Green Green Green Green Black Black\nBlack Green Green Green Green Black Black\n\nOutput:\nPink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Green Black Black\nBlack Green Green Green Green Black Black\nBlack Green Green Green Green Black Black\nBlack Green Green Green Pink Black Black\n\n\nExample 3\nInput:\nOrange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Green Black Black Black\nBlack Black Green Green Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange Orange Black Black Black Black Black\nOrange Orange Black Black Black Black Black\nBlack Black Green Green Black Black Black\nBlack Black Green Orange Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink\nBlack Black Black Black Pink Pink Pink\nBlack Black Black Black Pink Pink Pink\nBlack 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```\nGray Gray Gray Black Black Black Black\nGray Gray Gray Black Black Black Black\nGray Gray Gray Black Black Black Black\nGray Gray Gray Black Pink Pink Pink\nBlack Black Black Black Pink Pink Pink\nBlack Black Black Black Pink Pink Pink\nBlack Black Black Black Pink 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 Blue Gray Green Gray Blue Black Black Black Black Black Black\nGray Pink Purple Brown Yellow Brown Black Black Black Black Black Black\nGray Red Yellow Pink Purple Orange Black Black Black Black Black Black\nPurple Blue Blue Brown Green Orange Black Black Black Black Black Black\nPink Blue Purple Yellow Orange Green Black Black Black Black Black Black\nBlue Orange Purple Pink Orange Gray Black Black Black Black Black Black\nGray Brown Yellow Yellow Red Green Black Black Black Black Black Black\n\nOutput:\nPink Blue Gray Green Gray Blue Pink Blue Gray Green Gray Blue\nGray Pink Purple Brown Yellow Brown Gray Pink Purple Brown Yellow Brown\nGray Red Yellow Pink Purple Orange Gray Red Yellow Pink Purple Orange\nPurple Blue Blue Brown Green Orange Purple Blue Blue Brown Green Orange\nPink Blue Purple Yellow Orange Green Pink Blue Purple Yellow Orange Green\nBlue Orange Purple Pink Orange Gray Blue Orange Purple Pink Orange Gray\nGray Brown Yellow Yellow Red Green Gray Brown Yellow Yellow Red Green\n\n\nExample 2\nInput:\nOrange Red Pink Green Green Black Black Black Black Black\nOrange Yellow Purple Green Gray Black Black Black Black Black\nBrown Red Purple Orange Blue Black Black Black Black Black\nPink Gray Blue Red Pink Black Black Black Black Black\nBrown Yellow Blue Orange Orange Black Black Black Black Black\nOrange Pink Pink Pink Purple Black Black Black Black Black\nPink Gray Pink Brown Brown Black Black Black Black Black\nGray Brown Blue Pink Gray Black Black Black Black Black\nPink Gray Green Pink Brown Black Black Black Black Black\n\nOutput:\nOrange Red Pink Green Green Orange Red Pink Green Green\nOrange Yellow Purple Green Gray Orange Yellow Purple Green Gray\nBrown Red Purple Orange Blue Brown Red Purple Orange Blue\nPink Gray Blue Red Pink Pink Gray Blue Red Pink\nBrown Yellow Blue Orange Orange Brown Yellow Blue Orange Orange\nOrange Pink Pink Pink Purple Orange Pink Pink Pink Purple\nPink Gray Pink Brown Brown Pink Gray Pink Brown Brown\nGray Brown Blue Pink Gray Gray Brown Blue Pink Gray\nPink Gray Green Pink Brown Pink Gray Green Pink Brown\n\n\nExample 3\nInput:\nGreen Brown Pink Yellow Pink Black Black Black Black Black\nGreen Blue Red Green Gray Black Black Black Black Black\nGreen Yellow Blue Blue Blue Black Black Black Black Black\nRed Pink Gray Blue Yellow Black Black Black Black Black\nPink Brown Yellow Yellow Gray Black Black Black Black Black\nBlue Pink Green Gray Gray Black Black Black Black Black\nPurple Purple Purple Blue Yellow Black Black Black Black Black\nPurple Green Purple Gray Orange Black Black Black Black Black\nPink Gray Green Pink Gray Black Black Black Black Black\nGray Orange Pink Green Pink Black Black Black Black Black\nPurple Purple Red Pink Red Black Black Black Black Black\nYellow Gray Purple Blue Green Black Black Black Black Black\n\nOutput:\nGreen Brown Pink Yellow Pink Green Brown Pink Yellow Pink\nGreen Blue Red Green Gray Green Blue Red Green Gray\nGreen Yellow Blue Blue Blue Green Yellow Blue Blue Blue\nRed Pink Gray Blue Yellow Red Pink Gray Blue Yellow\nPink Brown Yellow Yellow Gray Pink Brown Yellow Yellow Gray\nBlue Pink Green Gray Gray Blue Pink Green Gray Gray\nPurple Purple Purple Blue Yellow Purple Purple Purple Blue Yellow\nPurple Green Purple Gray Orange Purple Green Purple Gray Orange\nPink Gray Green Pink Gray Pink Gray Green Pink Gray\nGray Orange Pink Green Pink Gray Orange Pink Green Pink\nPurple Purple Red Pink Red Purple Purple Red Pink Red\nYellow Gray Purple Blue Green Yellow Gray Purple Blue Green\n\n\nHere is the input grid for the test example:\nInput:\nGreen Red Green Green Gray Blue Black Black Black Black Black Black\nRed Red Gray Gray Orange Purple Black Black Black Black Black Black\nGreen Blue Gray Blue Orange Brown Black Black Black Black Black Black\nOrange Green Gray Blue Red Pink Black Black Black Black Black Black\nYellow Gray Yellow Pink Yellow Red Black Black Black Black Black Black\nBrown Green Blue Blue Green Purple Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Red Green Green Gray Blue Green Red Green Green Gray Blue\nRed Red Gray Gray Orange Purple Red Red Gray Gray Orange Purple\nGreen Blue Gray Blue Orange Brown Green Blue Gray Blue Orange Brown\nOrange Green Gray Blue Red Pink Orange Green Gray Blue Red Pink\nYellow Gray Yellow Pink Yellow Red Yellow Gray Yellow Pink Yellow Red\nBrown Green Blue Blue Green Purple Brown Green Blue Blue Green Purple\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Blue Gray Blue\nGray Blue Gray Blue\nGray Blue Gray Blue\nGray Blue Gray Blue\nGray Blue Gray Blue\nGray Blue Gray Blue\nGray Blue Gray Blue\n\nOutput:\nGray Blue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray Blue\n\n\nExample 2\nInput:\nGray Red Gray Red Gray\nGray Red Gray Red Gray\nGray Red Gray Red Gray\nGray Red Gray Red Gray\nGray Red Gray Red Gray\nGray Red Gray Red Gray\n\nOutput:\nGray Red Gray Red Gray Gray Red Gray Red Gray\nGray Red Gray Red Gray Gray Red Gray Red Gray\nGray Red Gray Red Gray Gray Red Gray Red Gray\nGray Red Gray Red Gray Gray Red Gray Red Gray\nGray Red Gray Red Gray Gray Red Gray Red Gray\nGray Red Gray Red Gray Gray Red Gray Red Gray\n\n\nExample 3\nInput:\nPink Red Pink Red\nPink Red Pink Red\nPink Red Pink Red\nPink Red Pink Red\nPink Red Pink Red\nPink Red Pink Red\n\nOutput:\nPink Red Pink Red Pink Red Pink Red\nPink Red Pink Red Pink Red Pink Red\nPink Red Pink Red Pink Red Pink Red\nPink Red Pink Red Pink Red Pink Red\nPink Red Pink Red Pink Red Pink Red\nPink Red Pink Red Pink Red Pink Red\n\n\nHere is the input grid for the test example:\nInput:\nYellow Green Yellow Green\nYellow Green Yellow Green\nYellow Green Yellow Green\nYellow Green Yellow Green\nYellow Green Yellow Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Green Yellow Green Yellow Green Yellow Green\nYellow Green Yellow Green Yellow Green Yellow Green\nYellow Green Yellow Green Yellow Green Yellow Green\nYellow Green Yellow Green Yellow Green Yellow Green\nYellow Green Yellow Green Yellow Green Yellow Green\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Blue Black Black Gray Gray Gray\nGray Green Gray Gray Gray Gray Gray Gray Gray Black Blue Blue Blue Black Gray Gray Gray\nGray Gray Gray Gray Gray Green Gray Gray Gray Blue Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Blue Blue Blue Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Blue Black Black Gray Gray Gray\nGray 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\nGray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green 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\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Green Black Black Green Black Black Gray Gray Gray\nGray Green Gray Gray Gray Gray Gray Green Gray Black Green Black Black Black Gray Gray Gray\nGray Gray Green Gray Gray Green Green Green Green Green Black Green Green Blue Gray Gray Gray\nGray Gray Gray Green Gray Green Gray Gray Green Black Black Green Green Black Gray Gray Gray\nGray Gray Gray Gray Green Gray Gray Green Gray Black Green Blue Black Green Gray Gray Gray\nGray Gray Gray Green Gray Green Green Gray Gray Green Gray Gray Gray Gray Green Gray Gray\nGray Gray Green Gray Gray Green Green Gray Green Gray Gray Gray Gray Gray Gray Green Gray\nGray Green Gray Gray Green Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Green\nGray Gray Gray Green Gray Gray Green Gray Green Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Green Gray Gray Green Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Black Black Green Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Green Green Green Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Green Green Green Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Green Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Black Black Blue Black Black\nYellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Green Black Black Black Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Black Black Green Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Orange Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Orange Orange Orange Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Orange Orange Orange Orange Orange Pink Pink Purple Pink\nPink Pink Pink Pink Pink Black Orange Orange Orange Black Pink Pink Pink Pink\nPurple Pink Pink Pink Pink Black Black Orange Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Purple Pink Purple Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Pink Purple Pink Pink Purple Pink Pink\nPink Pink Pink Pink Pink Purple Pink Purple Pink Pink Purple Pink Pink Pink\nPink Pink Pink Pink Purple Black Purple Orange Black Purple Pink Pink Pink Pink\nPink Pink Pink Purple Pink Purple Black Black Purple Black Pink Pink Pink Pink\nPink Pink Purple Pink Purple Orange Purple Black Black Purple Purple Purple Purple Pink\nPink Purple Pink Pink Pink Black Black Purple Black Purple Pink Pink Pink Pink\nPurple Pink Pink Pink Pink Black Black Orange Purple Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Purple Pink Purple Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Pink Pink Pink Purple Pink Pink Pink\nPink Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Red Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Black Black Black Blue Black Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Black Blue Blue Blue Blue Blue Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Black Blue Blue Blue Blue Blue Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Purple Purple\nRed Purple Purple Purple Purple Purple Purple Black Blue Blue Blue Blue Blue Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Black Blue Blue Blue Blue Blue Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Black Black Black Blue Black Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Purple Red Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Purple Red Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Red Purple Purple Purple Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Red Purple Red Purple Red Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Red Purple Purple Purple Red Red Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Red Purple Purple Black Red Black Red Black Black Black Purple Purple\nPurple Purple Purple Red Purple Purple Purple Red Black Red Black Black Black Black Purple Purple\nPurple Purple Red Purple Purple Purple Red Black Red Black Black Black Black Black Purple Purple\nPurple Red Purple Purple Purple Red Red Blue Black Black Black Black Black Red Purple Purple\nRed Purple Purple Purple Purple Purple Purple Red Black Black Black Black Red Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Black Red Black Black Red Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Black Black Red Red Black Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Pink Black Black Black Black Pink Pink\nBlack Pink Pink Black Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Black Pink Pink\nBlack Pink Pink Black Black Black Black Pink\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 Pink Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink 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\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Black Pink Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Black Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Black Black Black\nBlack Black Yellow Black Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Black Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Black Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Black Yellow Black Black\nBlack Black Black Black Yellow Black Yellow 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 Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Black Black Pink\nBlack Black Black Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Black Black\nBlack Pink Black Black Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nRed Red Red Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Red Red Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Red Red Red\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Red Red Red\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\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 Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple\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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Blue Blue Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Blue Blue Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Gray Gray Pink Pink Black Black Yellow Yellow Yellow Yellow Black Black Pink Pink Gray Gray\nBlack Black Black Black Gray Gray Pink Pink Black Black Yellow Yellow Yellow Yellow Black Black Pink Pink Gray Gray\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Red Red Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Red Red Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Pink Pink Orange Orange Black Black Gray Gray Gray Gray Black Black Orange Orange Pink Pink\nBlack Black Black Black Pink Pink Orange Orange Black Black Gray Gray Gray Gray Black Black Orange Orange Pink Pink\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\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 Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink 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 Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 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 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\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 Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Green Green Black Black Brown Brown Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Green Green Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Black Black Green Black Black\nBlue Blue Blue Blue Blue Blue Yellow Blue Blue\nBlack Black Black Blue Black Black Green Black Black\nGreen Green Green Yellow Green Green Green Green Green\nBlack Black Black Blue Black Black Green Black Black\nBlack Black Black Blue Black Black Green Black Black\nBlack Black Black Blue Black Black Green Black Black\nBlack Black Black Blue Black Black Green Black Black\nBlack Black Black Blue Black Black Green Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Blue Black Black Black Green Black Black\nBlack Black Blue Black Black Black Green Black Black\nBlack Black Blue Black Black Black Green Black Black\nBlue Blue Blue Blue Blue Blue Yellow Blue Blue\nBlack Black Blue Black Black Black Green Black Black\nGreen Green Yellow Green Green Green Green Green Green\nBlack Black Blue Black Black Black Green Black Black\nBlack Black Blue Black Black Black Green Black Black\nBlack Black Blue Black Black Black Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Yellow Green Green Green Green Green Green\nBlack Black Blue Black Green Black Black Black Black\nBlue Blue Blue Blue Yellow Blue Blue Blue Blue\nBlack Black Blue Black Green Black Black Black Black\nBlack Black Blue Black Green Black Black Black Black\nBlack Black Blue Black Green Black Black Black Black\nBlack Black Blue Black Green Black Black Black Black\nBlack Black Blue Black Green Black Black Black Black\nBlack Black Blue Black Green Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Black Blue Black Black Black Black\nBlack Black Green Black Blue Black Black Black Black\nBlack Black Green Black Blue Black Black Black Black\nGreen Green Green Green Yellow Green Green Green Green\nBlue Blue Yellow Blue Blue Blue Blue Blue Blue\nBlack Black Green Black Blue Black Black Black Black\nBlack Black Green Black Blue Black Black Black Black\nBlack Black Green Black Blue Black Black Black Black\nBlack Black Green Black Blue Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Brown Purple Gray Black Black Black Black Black Black Gray\nBlack Pink Brown Purple Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Pink Brown Purple Gray Black Black Black Black Black Black Gray\nBlack Pink Brown Purple Gray Black Black Black Black Black Black Gray\nBlack Pink Brown Purple Gray Black Black Black Black Black Black Gray\nBlack Pink Brown Purple Gray Black Black Black Black Black Black Gray\nBlack Pink Brown Purple Gray Black Black Black Black Black Black Gray\nBlack Pink Brown Purple Gray Black Black Black Black Black Black Gray\nBlack Pink Brown Purple Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Pink Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\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\nOutput:\nBlack Pink Black Black Black Black Black Black Black Black Black Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Black Black Black Black Black Black Black Black Black Pink\nBlack Pink Black Black Black Black Black Black Black Black Black Pink\nBlack Pink Black Black Black Black Black Black Black Black Black Pink\nBlack Pink Black Black Black Black Black Black Black Black Black Pink\nBlack Pink Black Black Black Black Black Black Black Black Black Pink\nBlack Pink Black Black Black Black Black Black Black Black Black Pink\nBlack Pink Black Black Black Black Black Black Black Black Black Pink\nBlack Pink Black Black Black Black Black Black Black Black Black Pink\nBlack Pink Black Black Black Black Black Black Black Black Black Pink\nBlack Pink Black Black Black Black Black 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\nExample 2\nInput:\nRed Green Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nRed Green Pink Blue Black Black Black Black Black Black Blue Black Black Black\nRed Green Pink Blue Black Black Black Black Black Black Blue Black Black Black\nRed Green Pink Blue Black Black Black Black Black Black Blue Black Black Black\nRed Green Pink Blue Black Black Black Black Black Black Blue Black Black Black\nRed Green Pink Blue Black Black Black Black Black Black Blue Black Black Black\nRed Green Pink Blue Black Black Black Black Black Black Blue Black Black Black\nRed Green Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nRed Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nRed Green Green Green Green Green Green Green Green Green Green Green Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Black Black Black Black Black Black Black Black Black Black Red Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black\n\n\nExample 3\nInput:\nBlack Black Red Green Green Green Green Green Green Green Green Green Green\nBlack Black Red Green Black Black Black Black Black Black Black Green Black\nBlack Black Red Green Black Black Black Black Black Black Black Green Black\nBlack Black Red Green Black Black Black Black Black Black Black Green Black\nBlack Black Red Green Black Black Black Black Black Black Black Green Black\nBlack Black Red Green Black Black Black Black Black Black Black Green Black\nBlack Black Red Green Black Black Black Black Black Black Black Green Black\nBlack Black Red Green Black Black Black Black Black Black Black Green Black\nBlack Black Red Green Green Green Green Green Green Green Green Green Green\nBlack Black Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Green Pink Black Black Black Black Black Black Black Black Pink Black\nGray Green Pink Black Black Black Black Black Black Black Black Pink Black\nGray Green Pink Black Black Black Black Black Black Black Black Pink Black\nGray Green Pink Black Black Black Black Black Black Black Black Pink Black\nGray Green Pink Black Black Black Black Black Black Black Black Pink Black\nGray Green Pink Black Black Black Black Black Black Black Black Pink Black\nGray Green Pink Black Black Black Black Black Black Black Black Pink Black\nGray Green Pink Black Black Black Black Black Black Black Black Pink Black\nGray Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Green Black Red Blue Black Black Black Black\nBlack Black Green Green Red Red Red Blue Black Black Black\nBlack Green Blue Green Green Red Blue Green Blue Black Black\nBlack Blue Blue Blue Green Blue Green Green Green Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Black Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Green Black Black Black\nGreen Green Green Green Green Black Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Black Black Black\nBlack Green Green Green Red Green Red Red Red Black Black\nBlack Red Green Red Red Blue Green Red Green Black Black\nBlack Black Red Red Blue Blue Blue Green Black Black Black\nBlack Black Black Red Black Blue Green Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red\nBlack Blue Black Black Red Red Red Red Red\nBlue Blue Blue Black Red Red Red Red Black\nBlack Red Black Red Green Red Red Black Black\nRed Red Red Green Green Green Black Black Black\nBlack Red Black Green Green Green Black Black Black\nBlack Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Blue Black Red Red Red Black Black Black\nBlue Blue Blue Red Red Red Black Black Black\nBlack Blue Black Blue Red Blue Blue Black Black\nGreen Green Green Black Blue Blue Blue Blue Black\nBlack Green Black Black Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Green Black Black Black Black Green Black\nBlack Black Green Green Green Blue Black Green Green Green\nBlack Green Green Green Blue Blue Blue Green Green Black\nGreen Green Green Green Green Green Blue Blue Green Black\nBlack Green Green Green Green Green Green Green Black Black\nBlack Black Blue Green Green Green Green Green Black Black\nBlack Blue Blue Blue Green Red Green Black Black Black\nBlue Blue Blue Blue Red Red Red Black Black Black\nBlack Blue Blue Blue Black Red Blue Blue Black Black\nBlack Black Blue Black Black Black Blue Black Black Black\n\nOutput:\nBlack Black Green Black Black Black Green Black Black Black\nBlack Green Green Green Black Blue Green Green Black Black\nGreen Green Green Green Blue Blue Blue Black Black Black\nBlack Green Green Green Red Blue Red Black Black Black\nBlack Black Green Red Red Red Red Red Black Black\nBlack Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Green Green Red Black\nBlack Red Red Red Green Green Green Red Red Black\nBlack Black Red Red Red Green Black Red Red Red\nBlack Black Black Red Black Black Black Black Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Blue Black Black Blue Black Black\nRed Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Green Black\nBlack Blue Blue Blue Red Green Green Green\nBlack Red Blue Red Red Red Green Black\nRed Red Red Red Red Red Red Black\nRed Red Red Red Red Red Black Black\nBlack Red Red Black Red Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Blue Blue Black Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Green Blue Blue Blue Red Black\nBlack Green Green Green Blue Red Red Red\nGreen Green Green Green Green Green Red Black\nBlue Green Green Green Green Green Green Black\nBlack Blue Green Black Black Green Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Red Red Black Gray Gray Black Black Black Black\nBlue Blue Black Black Black Black Red Red Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray\nGray Gray Gray Gray Gray Gray Gray Orange Orange Orange Gray Blue Blue Blue Gray\nGray Gray Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Green Green Green Black Black Black Black Black Red Red Red Red Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Green Green Green Purple Purple Purple Purple Purple Red Red Red Red Purple Purple Purple\nPurple Green Green Green Purple Purple Purple Purple Purple Red Red Red Red Purple Purple Purple\nPurple Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Gray Gray Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Gray Gray Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Gray Gray Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Yellow Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Green Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Green Green Green Black Black Black\nBlack Black Green Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Green Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Green Black Black\nBlack Black Black Green Green Green Black\nBlack Black Black Black Green Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Black Gray Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Gray Gray Gray Black Black\nBlack Black Black Gray 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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGreen Green Green Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGreen Green Green Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGreen Green Green Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nGreen Green Green Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nGreen Green Green Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nGreen Green Green Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nBlue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red 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\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBlack Black Black Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBlack Black Black Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBlack Black Black Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBlack Black Black Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBlack Black Black Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBlack Black Black Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBlack Black Black Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBlack Black Black Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBlack Black Black Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBlack Black Black Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBlack Black Black Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBlack Black Black Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBlack Black Black Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBlack Black Black Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBlack Black Black Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBlack Black Black Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBlack Black Black Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nRed Red Red Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nRed Red Red Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nRed Red Red Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Purple Purple Purple Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBlack Black Black Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBlack Black Black Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBlack Black Black Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBlack Black Black Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBlack Black Black Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBlack Black Black Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBlack Black Black Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBlack Black Black Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBlack Black Black Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBlack Black Black Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBlack Black Black Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBlack Black Black Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBlack Black Black Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBlack Black Black Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBlack Black Black Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBlack Black Black Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBlack Black Black Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nPurple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nPurple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nPurple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nGreen Green Green Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nGreen Green Green Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nGreen Green Green Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nRed Red Red Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nRed Red Red Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nRed Red Red Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Red Red Red Green Green Green Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nOrange Orange Orange Gray Gray Gray Black Black Black Black Black Black\nOrange Orange Orange Gray Gray Gray Black Black Black Black Black Black\nOrange Orange Orange Gray Gray Gray Black Black Black Black Black Black\nYellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black\nYellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black\nYellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Blue\nBlack Red Black Black Black Black Red Black\nRed Black Black Black Blue Black Green Black\nBlack Black Black Black Black Black Black Black\nGray Black Pink Yellow Black Black Black Black\nBlue Brown Red Black Black Black Blue Black\nBlack Black Red Black Black Black Red Black\nBlack Black Black Black Black Brown Black Red\nBlack Black Black Black Black Black Black Black\nBlue Black Brown Black Blue Black Brown Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Black Black Black Red Gray Black Blue Black Black\nBlack Black Black Black Black Black Brown Black Black Black Blue Black\nBlack Black Brown Black Black Blue Blue Pink Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Brown Black Black Blue Red Black Black Green Blue Black\nBlack Black Black Black Blue Black Black Black Black Black Black Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Red Black\nBlack Red Blue Black Blue Black Black\nRed Black Black Blue Black Black Black\nGreen Red Black Black Black Black Black\nBrown Black Red Black Black Black Black\nRed Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Red Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Brown Green Blue Black Black\nBlack Black Black Brown Black Black Blue Black Blue Black\nBlack Black Black Brown Black Blue Black Black Red Black\nBlack Blue Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Gray Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Red Blue Black Black\nBlack Blue Black Yellow Green Red Black\nBlack Black Black Black Black Blue Black\nBlue Black Black Black Black Purple Black\nRed Black Pink Blue Black Blue Black\nBlack Black Black Brown Blue Black Black\nBlack Black Black Black Black Black Purple\nBlack Black Black Black Green Black Black\nBlack Black Blue Black Red Black Black\nBlack Black Black Black Pink Red Black\nBlue Black Black Black Black Black Black\n\nOutput:\nRed Black Black Black Black Black Blue Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black\nBlack Black Red Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Brown Red Black Black Yellow Blue\nBlack Pink Blue Green Black Red Black Black Black Green Red\nBlack Blue Black Black Black Black Red Purple Red Blue Black\nBlack Black Black Black Purple Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Red Red Black Blue Red\nBlack Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Blue Black Black\nRed Yellow Black Black Red Blue Blue Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Orange Black\nBlack Black Black Black Black Black Purple Black Brown\nBlack Black Black Blue Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Blue Pink Black Black\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Green Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Blue\nBlack Black Black Black Green Red Black Black Blue\nBlack Purple Black Black Black Red Red Black Black\nBlack Black Orange Black Black Black Black Black Red\nBlack Brown Black Black Black Black Black Black Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Orange Black\nBlack Black Black Black Black Pink Black Black\nBlack Black Black Black Yellow Black Black Black\nBlack Black Black Pink Black Black Black Black\nBlack Black Brown Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black\n\nOutput:\nGray Black Black Black Black Black Black Gray\nBlack Purple Black Black Black Black Purple Black\nBlack Black Brown Black Black Brown Black Black\nBlack Black Black Pink Pink Black Black Black\nBlack Black Black Pink Pink Black Black Black\nBlack Black Brown Black Black Brown Black Black\nBlack Purple Black Black Black Black Purple Black\nGray Black Black Black Black Black Black Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Red Black Black Black Black\nBlack Green Black Black Black Black Black\nPink Black Black Black Black Black Black\n\nOutput:\nPink Black Black Black Black Black Pink\nBlack Green Black Black Black Green Black\nBlack Black Red Black Red Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Red Black Red Black Black\nBlack Green Black Black Black Green Black\nPink Black Black Black Black Black Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Brown Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Yellow Black Black Black Black\nBlack Red Black Black Black Black Black\nGreen Black Black Black Black Black Black\n\nOutput:\nGreen Black Black Black Black Black Green\nBlack Red Black Black Black Red Black\nBlack Black Yellow Black Yellow Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Yellow Black Yellow Black Black\nBlack Red Black Black Black Red Black\nGreen Black Black Black Black Black Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Black Black Black Black Black Black Blue\nBlack Brown Black Black Black Black Black Brown Black\nBlack Black Gray Black Black Black Gray Black Black\nBlack Black Black Brown Black Brown Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Brown Black Brown Black Black Black\nBlack Black Gray Black Black Black Gray Black Black\nBlack Brown Black Black Black Black Black Brown Black\nBlue Black Black Black Black Black Black Black Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Pink Pink\nPink Yellow Yellow Yellow Pink\nPink Yellow Yellow Yellow Pink\nPink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Yellow Yellow Yellow Pink Yellow Pink Black Black Black\nPink Yellow Yellow Yellow Pink Yellow Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Yellow Yellow Yellow Pink Yellow Pink Black Black Black\nPink Pink Pink 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\n\n\nExample 2\nInput:\nOrange Orange Orange Orange\nOrange Yellow Yellow Orange\nOrange Yellow Yellow Orange\nOrange Yellow Yellow Orange\nOrange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Black Black\nOrange Yellow Yellow Orange Yellow Orange Black Black\nOrange Yellow Yellow Orange Yellow Orange Black Black\nOrange Yellow Yellow Orange Yellow Orange Black Black\nOrange Orange Orange Orange Orange Orange Black Black\nOrange Yellow Yellow Orange Yellow Orange Black Black\nOrange Orange Orange Orange Orange Orange 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:\nGray Gray Gray Gray Gray\nGray Brown Brown Brown Gray\nGray Brown Brown Brown Gray\nGray Brown Brown Brown Gray\nGray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Brown Brown Brown Gray Brown Gray Black Black Black\nGray Brown Brown Brown Gray Brown Gray Black Black Black\nGray Brown Brown Brown Gray Brown Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Brown Brown Brown Gray Brown Gray Black Black Black\nGray Gray Gray Gray 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\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink\nPink Gray Pink\nPink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Black Black\nPink Gray Pink Pink Black Black\nPink Pink Pink Pink Black Black\nPink Pink 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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 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 Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue 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 Blue 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 Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue 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 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 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\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 Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nPink Yellow Yellow Yellow Yellow Pink Black Black Black Black Black Black Black Black Black Black Black\nPink Yellow Yellow Yellow Yellow Pink Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Orange Black Black Black Black Black Black Black Black Black Black\nBlue Yellow Green Blue Orange Black Black Black Black Black Black Black Black Black Black\nBlue Yellow Green Blue Orange Black Black Black Black Black Black Black Black Black Black\nBlue Green Green Blue Orange Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Green Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Green Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Green Green Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nGreen Green Green Green Green Red Black Black Black Black Black Black Black Black Black Black\nGreen Purple Brown Purple Green Red Black Black Black Black Black Black Black Black Black Black\nGreen Brown Brown Brown Green Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Brown Red Green Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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:\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Brown Black Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Brown Brown Brown Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Brown Black Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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:\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Pink Pink Blue Pink Brown Black Black Black Black Black Black Black Black\nBrown Pink Pink Pink Pink Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Blue Blue Blue Brown Black Black Black Black Black Black Black Black Black\nBrown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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```\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Pink Pink Black Pink Brown Black Black Black Black Black Black Black Black\nBrown Pink Pink Pink Pink Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBrown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Gray Blue Gray Blue Black\nBlack Blue Gray Blue Gray Black\nBlack Gray Blue Gray Blue Black\nBlack Blue Gray Blue Gray Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Blue Gray Blue Gray Black\nBlack Gray Blue Gray Blue Black\nBlack Blue Gray Blue Gray Black\nBlack Gray Blue Gray Blue Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Pink Red Pink Red Pink Red Black\nBlack Red Pink Red Pink Red Pink Black\nBlack Pink Red Pink Red Pink Red Black\nBlack Red Pink Red Pink Red Pink Black\nBlack Pink Red Pink Red Pink Red Black\nBlack Red Pink Red Pink Red Pink Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Red Pink Red Pink Red Pink Black\nBlack Pink Red Pink Red Pink Red Black\nBlack Red Pink Red Pink Red Pink Black\nBlack Pink Red Pink Red Pink Red Black\nBlack Red Pink Red Pink Red Pink Black\nBlack Pink Red Pink Red Pink Red Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Brown Orange Brown Orange Brown Orange Black\nBlack Orange Brown Orange Brown Orange Brown Black\nBlack Brown Orange Brown Orange Brown Orange Black\nBlack Orange Brown Orange Brown Orange Brown Black\nBlack Brown Orange Brown Orange Brown Orange Black\nBlack Orange Brown Orange Brown Orange Brown Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Orange Brown Orange Brown Orange Brown Black\nBlack Brown Orange Brown Orange Brown Orange Black\nBlack Orange Brown Orange Brown Orange Brown Black\nBlack Brown Orange Brown Orange Brown Orange Black\nBlack Orange Brown Orange Brown Orange Brown Black\nBlack Brown Orange Brown Orange Brown Orange 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\nBlack Yellow Brown Yellow Brown Black\nBlack Brown Yellow Brown Yellow Black\nBlack Yellow Brown Yellow Brown Black\nBlack Brown Yellow Brown Yellow 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 Brown Yellow Brown Yellow Black\nBlack Yellow Brown Yellow Brown Black\nBlack Brown Yellow Brown Yellow Black\nBlack Yellow Brown Yellow Brown 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:\nGray Orange Gray Orange Gray Purple Purple Black Gray Purple Orange Orange\nBlack Orange Purple Black Gray Black Orange Gray Black Orange Black Orange\nOrange Purple Orange Orange Black Purple Purple Gray Black Purple Orange Black\nOrange Black Gray Black Orange Black Black Gray Gray Black Black Black\nBlack Gray Purple Black Purple Orange Orange Black Gray Purple Black Black\nBlack Gray Black Black Purple Black Gray Black Black Black Orange Orange\nBlack Gray Purple Orange Gray Purple Orange Black Purple Purple Orange Purple\nPurple Black Black Black Purple Gray Gray Purple Black Black Gray Gray\n\nOutput:\nOrange Orange Gray Orange Gray Purple Purple Black Gray Purple Orange Orange\nBlack Orange Purple Black Gray Black Orange Gray Black Orange Black Orange\nOrange Purple Orange Orange Black Purple Purple Gray Black Purple Orange Black\nOrange Black Gray Black Orange Black Black Gray Gray Black Black Black\nBlack Gray Purple Black Purple Orange Orange Black Gray Purple Black Black\nBlack Gray Black Black Purple Black Gray Black Black Black Orange Orange\nBlack Gray Purple Orange Gray Purple Orange Black Purple Purple Orange Purple\nOrange Black Black Black Purple Gray Gray Purple Black Black Gray Orange\n\n\nExample 2\nInput:\nBlack Purple Orange Black Orange Black Black Gray Gray Gray\nBlack Orange Purple Black Purple Black Black Gray Gray Black\nOrange Orange Gray Gray Gray Black Black Gray Purple Black\nPurple Gray Orange Black Orange Black Orange Black Black Purple\nGray Orange Gray Orange Purple Purple Purple Black Orange Purple\nOrange Black Black Purple Black Black Gray Orange Gray Purple\nBlack Orange Purple Purple Purple Black Orange Gray Black Orange\n\nOutput:\nOrange Purple Orange Black Orange Black Black Gray Gray Orange\nBlack Orange Purple Black Purple Black Black Gray Gray Black\nOrange Orange Gray Gray Gray Black Black Gray Purple Black\nPurple Gray Orange Black Orange Black Orange Black Black Purple\nGray Orange Gray Orange Purple Purple Purple Black Orange Purple\nOrange Black Black Purple Black Black Gray Orange Gray Purple\nOrange Orange Purple Purple Purple Black Orange Gray Black Orange\n\n\nExample 3\nInput:\nOrange Black Orange Pink Orange Blue Orange Blue Black Black Pink\nOrange Pink Blue Black Blue Orange Black Pink Orange Black Orange\nOrange Black Black Orange Pink Black Orange Blue Pink Black Pink\nBlack Blue Black Orange Pink Gray Pink Black Black Black Blue\nPink Blue Black Blue Blue Pink Orange Black Blue Black Blue\nBlack Pink Pink Pink Pink Blue Blue Orange Black Black Black\nBlack Orange Black Pink Black Orange Black Blue Black Black Blue\n\nOutput:\nGray Black Orange Pink Orange Blue Orange Blue Black Black Gray\nOrange Pink Blue Black Blue Orange Black Pink Orange Black Orange\nOrange Black Black Orange Pink Black Orange Blue Pink Black Pink\nBlack Blue Black Orange Pink Gray Pink Black Black Black Blue\nPink Blue Black Blue Blue Pink Orange Black Blue Black Blue\nBlack Pink Pink Pink Pink Blue Blue Orange Black Black Black\nGray Orange Black Pink Black Orange Black Blue Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Purple Red Orange Orange Purple Red Black\nOrange Red Black Red Purple Orange Black Black Black\nPurple Orange Orange Orange Purple Black Orange Orange Black\nPurple Black Orange Black Black Black Purple Black Red\nOrange Black Red Red Pink Black Black Black Black\nRed Black Black Red Red Black Purple Orange Black\nPurple Purple Red Red Purple Red Black Purple Red\nRed Orange Orange Purple Black Black Red Black Purple\nRed Black Orange Black Purple Orange Orange Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black Purple Red Orange Orange Purple Red Pink\nOrange Red Black Red Purple Orange Black Black Black\nPurple Orange Orange Orange Purple Black Orange Orange Black\nPurple Black Orange Black Black Black Purple Black Red\nOrange Black Red Red Pink Black Black Black Black\nRed Black Black Red Red Black Purple Orange Black\nPurple Purple Red Red Purple Red Black Purple Red\nRed Orange Orange Purple Black Black Red Black Purple\nPink Black Orange Black Purple Orange Orange Purple 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:\nRed Red Black Black Black Black\nRed Red Black Black Black Black\nRed Red Black Black Black Black\nRed Red Black Black Black Black\nRed Red Black Black Black Black\nRed Red Black Black Black Black\nRed Red Black Black Black Black\nRed Red Black Black Black Black\nRed Red Black Black Black Black\nRed Red Black Black Black Black\n\nOutput:\nGreen Green Black Black Black Black\nGreen Green Black Black Black Black\nGreen Green Black Black Black Black\nGreen Green Black Black Black Black\nGreen Green Black Black Black Black\nGreen Green Black Black Black Black\nGreen Green Black Black Black Black\nGreen Green Black Black Black Black\nGreen Green Black Black Black Black\nGreen Green Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\n\nOutput:\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nRed Red Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black\n\nOutput:\nGreen Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Red Green Green Red Red Blue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue Green Green\nRed Red Red Red Green Green Red Red Blue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue Green Green\nGreen Green Green Green Black Black Green Green Red Red Red Red Blue Blue Red Red Red Red Blue Blue\nGreen Green Green Green Black Black Green Green Red Red Red Red Blue Blue Red Red Red Red Blue Blue\nBlue Blue Yellow Yellow Red Red Yellow Yellow Black Black Red Red Green Green Yellow Yellow Black Black Yellow Yellow\nBlue Blue Yellow Yellow Red Red Yellow Yellow Black Black Red Red Green Green Yellow Yellow Black Black Yellow Yellow\nBlue Blue Red Red Green Green Blue Blue Green Green Blue Blue Yellow Yellow Red Red Black Black Red Red\nBlue Blue Red Red Green Green Blue Blue Green Green Blue Blue Yellow Yellow Red Red Black Black Red Red\nBlue Blue Red Red Blue Blue Green Green Black Black Black Black Blue Blue Green Green Green Green Red Red\nBlue Blue Red Red Blue Blue Green Green Black Black Black Black Blue Blue Green Green Green Green Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Green Green Green Green Blue Blue Red Red Black Black Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Green Green Green Green Blue Blue Red Red Black Black Red Red\nGreen Green Green Green Yellow Yellow Red Red Red Red Black Black Red Red Yellow Yellow Blue Blue Green Green\nGreen Green Green Green Yellow Yellow Red Red Red Red Black Black Red Red Yellow Yellow Blue Blue Green Green\nBlack Black Red Red Black Black Red Red Red Red Green Green Green Green Black Black Yellow Yellow Red Red\nBlack Black Red Red Black Black Red Red Red Red Green Green Green Green Black Black Yellow Yellow Red Red\nBlack Black Yellow Yellow Green Green Black Black Red Red Blue Blue Blue Blue Red Red Yellow Yellow Red Red\nBlack Black Yellow Yellow Green Green Black Black Red Red Blue Blue Blue Blue Red Red Yellow Yellow Red Red\nGreen Green Black Black Yellow Yellow Yellow Yellow Green Green Red Red Yellow Yellow Yellow Yellow Black Black Green Green\nGreen Green Black Black Yellow Yellow Yellow Yellow Green Green Red Red Yellow Yellow Yellow Yellow Black Black Green Green\n\nOutput:\nGreen Green Green Green Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green\nGreen Green Green Green Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green\nGreen Green Green Green Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green\nGreen Green Green Green Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green\nGray Gray Gray Gray Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nGray Gray Gray Gray Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nGray Gray Gray Gray Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nGray Gray Gray Gray Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nGray Gray Gray Gray Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nGray Gray Gray Gray Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nGray Gray Gray Gray Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nGray Gray Gray Gray Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Gray Gray Gray Gray Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Red Red Yellow Yellow Yellow Yellow Red Red Green Green Yellow Yellow Green Green Red Red Green Green\nBlack Black Red Red Yellow Yellow Yellow Yellow Red Red Green Green Yellow Yellow Green Green Red Red Green Green\nYellow Yellow Black Black Red Red Yellow Yellow Green Green Black Black Black Black Green Green Blue Blue Red Red\nYellow Yellow Black Black Red Red Yellow Yellow Green Green Black Black Black Black Green Green Blue Blue Red Red\nGreen Green Yellow Yellow Red Red Blue Blue Green Green Black Black Yellow Yellow Red Red Green Green Yellow Yellow\nGreen Green Yellow Yellow Red Red Blue Blue Green Green Black Black Yellow Yellow Red Red Green Green Yellow Yellow\nRed Red Red Red Blue Blue Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Black Black\nRed Red Red Red Blue Blue Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Black Black\nYellow Yellow Yellow Yellow Black Black Blue Blue Yellow Yellow Black Black Black Black Red Red Black Black Red Red\nYellow Yellow Yellow Yellow Black Black Blue Blue Yellow Yellow Black Black Black Black Red Red Black Black Red Red\nGreen Green Black Black Blue Blue Blue Blue Black Black Green Green Yellow Yellow Green Green Red Red Black Black\nGreen Green Black Black Blue Blue Blue Blue Black Black Green Green Yellow Yellow Green Green Red Red Black Black\nGreen Green Red Red Red Red Black Black Blue Blue Red Red Blue Blue Red Red Blue Blue Yellow Yellow\nGreen Green Red Red Red Red Black Black Blue Blue Red Red Blue Blue Red Red Blue Blue Yellow Yellow\nYellow Yellow Green Green Blue Blue Green Green Red Red Blue Blue Green Green Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Green Green Blue Blue Green Green Red Red Blue Blue Green Green Yellow Yellow Yellow Yellow Black Black\nRed Red Green Green Green Green Yellow Yellow Black Black Yellow Yellow Yellow Yellow Blue Blue Green Green Green Green\nRed Red Green Green Green Green Yellow Yellow Black Black Yellow Yellow Yellow Yellow Blue Blue Green Green Green Green\nYellow Yellow Red Red Green Green Blue Blue Blue Blue Black Black Red Red Blue Blue Red Red Yellow Yellow\nYellow Yellow Red Red Green Green Blue Blue Blue Blue Black Black Red Red Blue Blue Red Red Yellow Yellow\n\nOutput:\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nGreen Green Green Green Green Green Green Green Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nGreen Green Green Green Green Green Green Green Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nGreen Green Green Green Green Green Green Green Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Gray Gray Gray Gray Green Green Green Green Black Black Black Black\nGreen Green Green Green Black Black Black Black Gray Gray Gray Gray Green Green Green Green Black Black Black Black\nGreen Green Green Green Black Black Black Black Gray Gray Gray Gray Green Green Green Green Black Black Black Black\nGreen Green Green Green Black Black Black Black Gray Gray Gray Gray Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Green Green Black Black Black Black Gray Gray Gray Gray Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Black Black Black Gray Gray Gray Gray Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Black Black Black Gray Gray Gray Gray Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Black Black Black Gray Gray Gray Gray Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Yellow Yellow Black Black Yellow Yellow Green Green Blue Blue Blue Blue Black Black Black Black Red Red\nBlack Black Yellow Yellow Black Black Yellow Yellow Green Green Blue Blue Blue Blue Black Black Black Black Red Red\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Black Black Black Black Blue Blue Red Red Red Red\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Black Black Black Black Blue Blue Red Red Red Red\nGreen Green Black Black Red Red Black Black Black Black Red Red Green Green Green Green Red Red Black Black\nGreen Green Black Black Red Red Black Black Black Black Red Red Green Green Green Green Red Red Black Black\nBlue Blue Green Green Red Red Green Green Green Green Red Red Red Red Green Green Black Black Black Black\nBlue Blue Green Green Red Red Green Green Green Green Red Red Red Red Green Green Black Black Black Black\nRed Red Red Red Black Black Yellow Yellow Blue Blue Red Red Green Green Black Black Red Red Blue Blue\nRed Red Red Red Black Black Yellow Yellow Blue Blue Red Red Green Green Black Black Red Red Blue Blue\nBlue Blue Green Green Green Green Blue Blue Red Red Black Black Red Red Yellow Yellow Green Green Blue Blue\nBlue Blue Green Green Green Green Blue Blue Red Red Black Black Red Red Yellow Yellow Green Green Blue Blue\nRed Red Yellow Yellow Green Green Red Red Black Black Red Red Black Black Red Red Yellow Yellow Green Green\nRed Red Yellow Yellow Green Green Red Red Black Black Red Red Black Black Red Red Yellow Yellow Green Green\nBlue Blue Red Red Yellow Yellow Yellow Yellow Red Red Yellow Yellow Black Black Red Red Green Green Green Green\nBlue Blue Red Red Yellow Yellow Yellow Yellow Red Red Yellow Yellow Black Black Red Red Green Green Green Green\nRed Red Yellow Yellow Black Black Green Green Blue Blue Yellow Yellow Black Black Red Red Black Black Yellow Yellow\nRed Red Yellow Yellow Black Black Green Green Blue Blue Yellow Yellow Black Black Red Red Black Black Yellow Yellow\nBlack Black Blue Blue Blue Blue Yellow Yellow Green Green Black Black Blue Blue Blue Blue Green Green Red Red\nBlack Black Blue Blue Blue Blue Yellow Yellow Green Green Black Black Blue Blue Blue Blue Green Green Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nGray Gray Gray Gray Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green\nGray Gray Gray Gray Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green\nGray Gray Gray Gray Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green\nGray Gray Gray Gray Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nBlue Blue Yellow Yellow Black Black Red Red Green Green Black Black Black Black Black Black Blue Blue Black Black\nBlue Blue Yellow Yellow Black Black Red Red Green Green Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Red Red Green Green Black Black Yellow Yellow Red Red Green Green Black Black Black Black Yellow Yellow\nBlack Black Red Red Green Green Black Black Yellow Yellow Red Red Green Green Black Black Black Black Yellow Yellow\nBlack Black Black Black Blue Blue Red Red Blue Blue Yellow Yellow Red Red Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Blue Blue Red Red Blue Blue Yellow Yellow Red Red Yellow Yellow Yellow Yellow Black Black\nBlue Blue Yellow Yellow Red Red Yellow Yellow Green Green Black Black Red Red Blue Blue Red Red Red Red\nBlue Blue Yellow Yellow Red Red Yellow Yellow Green Green Black Black Red Red Blue Blue Red Red Red Red\nYellow Yellow Red Red Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Green Green Blue Blue\nYellow Yellow Red Red Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Green Green Blue Blue\nYellow Yellow Red Red Blue Blue Black Black Blue Blue Blue Blue Yellow Yellow Green Green Black Black Black Black\nYellow Yellow Red Red Blue Blue Black Black Blue Blue Blue Blue Yellow Yellow Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Red Red Red Red Blue Blue Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Green Green Black Black Red Red Red Red Blue Blue Blue Blue Yellow Yellow Black Black\nBlue Blue Blue Blue Green Green Yellow Yellow Black Black Red Red Blue Blue Red Red Green Green Red Red\nBlue Blue Blue Blue Green Green Yellow Yellow Black Black Red Red Blue Blue Red Red Green Green Red Red\nGreen Green Blue Blue Blue Blue Red Red Green Green Black Black Red Red Yellow Yellow Black Black Blue Blue\nGreen Green Blue Blue Blue Blue Red Red Green Green Black Black Red Red Yellow Yellow Black Black Blue Blue\nBlack Black Red Red Black Black Blue Blue Black Black Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlack Black Red Red Black Black Blue Blue Black Black Red Red Red Red 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```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange 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 Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black\nBlack Black Red Red Black Red Red Black Black Black\nBlack Black Black Red Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Yellow Red Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Red Yellow Yellow Yellow Black Black Black\nBlack Black Red Red Red Red Yellow Black Black Black\nBlack Black Red Red Yellow Red Red Black Black Black\nBlack Black Yellow Red Yellow Yellow Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\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 Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Black Red 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 Yellow Red Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Red Yellow Yellow Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Yellow Black Black Black Black Black\nBlack Black Black Red Yellow Red Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black\nBlack Red Black Black Red Red Red Black Black Black Black\nBlack Black Red Red Black Red Black Red Black Black Black\nBlack Black Black Red Red Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Red Red Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Red Red Yellow Yellow Yellow Black Black Black\nBlack Yellow Red Red Yellow Yellow Yellow Yellow Black Black Black\nBlack Red Yellow Yellow Red Red Red Yellow Black Black Black\nBlack Yellow Red Red Yellow Red Yellow Red Black Black Black\nBlack Yellow Yellow Red Red Red Yellow Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown\nBlack Black Black Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown\nBlack Black Black Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown\nBlack Black Black Blue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Blue Blue Blue\nBlack Black Black Blue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Blue Blue Blue\nBlack Black Black Blue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Blue Blue Blue\nBlack Black Black Orange Orange Orange Green Green Green Yellow Yellow Yellow Green Green Green Blue Blue Blue Red Red Red Blue Blue Blue Blue Blue Blue\nBlack Black Black Orange Orange Orange Green Green Green Yellow Yellow Yellow Green Green Green Blue Blue Blue Red Red Red Blue Blue Blue Blue Blue Blue\nBlack Black Black Orange Orange Orange Green Green Green Yellow Yellow Yellow Green Green Green Blue Blue Blue Red Red Red Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Red Red Red Red Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 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 Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Orange Orange Orange Purple Purple Purple Brown Brown Brown\nBlack Black Black Blue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Orange Orange Orange Purple Purple Purple Brown Brown Brown\nBlack Black Black Blue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Orange Orange Orange Purple Purple Purple Brown Brown Brown\nBlack Black Black Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Orange Orange Orange Blue Blue Blue Brown Brown Brown\nBlack Black Black Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Orange Orange Orange Blue Blue Blue Brown Brown Brown\nBlack Black Black Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Orange Orange Orange Blue Blue Blue Brown Brown Brown\nBlack Black Black Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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:\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown\nGreen Green Green Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Purple Purple Purple\nGreen Green Green Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Purple Purple Purple\nGreen Green Green Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nGreen Green Green Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Brown Brown Brown\nGreen Green Green Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Brown Brown Brown\nGreen Green Green Brown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Green Green Green Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Green Green Green Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Green Green Green Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Green Green Green Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Green Green Green Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Green Green Green Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Brown Brown Brown Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Brown Brown Brown Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Brown Brown Brown Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Pink Pink Pink Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue\nGreen Green Green Green Green Green Pink Pink Pink Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue\nGreen Green Green Green Green Green Pink Pink Pink Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Orange Orange Orange Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Orange Orange Orange Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Orange Orange Orange Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Orange Orange Orange Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Orange Orange Orange Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Orange Orange Orange Purple Purple Purple Brown Brown Brown Brown Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Purple Purple Purple Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Blue Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Pink Pink Pink Blue Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Pink Pink Pink Blue Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Orange Orange Orange Purple Purple Purple Brown Brown Brown Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Orange Orange Orange Purple Purple Purple Brown Brown Brown Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Orange Orange Orange Purple Purple Purple Brown Brown Brown Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Orange Orange Orange Brown Brown Brown Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Orange Orange Orange Brown Brown Brown Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Orange Orange Orange Brown Brown Brown 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 Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray\nBlue 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 Gray\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\nRed Black Black Black Black Black Black\n\nOutput:\nRed Gray Gray Gray Gray Gray Gray\nRed Red Gray Gray Gray Gray Gray\nRed Red Red Gray Gray Gray Gray\nRed Red Red Red Gray Gray Gray\nRed Red Red Red Red Gray Gray\nRed Red Red Red Red Red Gray\nRed Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Brown\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\nRed Black Black Black Black Black Black\n\nOutput:\nRed Brown Brown Brown Brown Brown Brown\nRed Red Brown Brown Brown Brown Brown\nRed Red Red Brown Brown Brown Brown\nRed Red Red Red Brown Brown Brown\nRed Red Red Red Red Brown Brown\nRed Red Red Red Red Red Brown\nRed Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Black Black Black Black Red Red Red Red Black Black Black Black\nRed Red Red Blue Blue Blue Black Red Red Red Red Red Red Red Black\nRed Red Red Blue Blue Blue Black Red Red Red Red Red Red Red Black\nRed Red Red Blue Blue Blue Black Red Red Red Red Red Red Red Black\nRed Red Red Black Black Black Black Black Black Black Black Red Red Red Red\nRed Red Red Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Red\nBlack Black Red Red Black Blue Blue Blue Black Black Black Red Red Red Red\nBlack Black Red Red Black Blue Blue Blue Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Blue Blue Blue Black\nRed Red Red Red Black Black Red Red Black Black Black Blue Blue Blue Black\nRed Red Red Red Black Black Red Red Black Black Black Blue Blue Blue Black\nRed Red Red Red Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\n\nOutput:\nRed Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Red Red Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Red Red Black Blue Blue Blue Black Black Black Black Black Black Black\nRed Red Red Red Black Black Blue Blue Black Black Black Blue Blue Blue Black\nRed Red Red Red Black Black Blue Blue Black Black Black Blue Blue Blue Black\nRed Red Red Red Black Black Blue Blue Black Black Black Blue Blue Blue Black\nRed Red Red Red Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Red Red Red Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Blue Blue Blue Black Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue\nBlack Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Red Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Red Red Black\nBlack Red Red Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Blue Blue Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Red Red Red Black Black Black Black Blue Blue Blue Black Blue Blue Black\nBlack Red Red Red Black Black Black Black Blue Blue Blue Black Blue Blue Black\nBlack Black Blue Blue Blue Black Black Black Blue Blue Blue Black Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue\nBlack Red Red Red Red Blue Blue Blue Blue Blue Blue Black Blue Blue Black\nBlack Blue Blue Blue Blue Black Black Black Black Blue Black Black Blue Blue Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Black Red Red Red Red Black Black Black Black Black Black\nBlack Blue Blue Blue Black Red Red Red Red Black Black Black Black Black Black\nBlack Blue Blue Blue Black Red Red Red Red Black Blue Blue Blue Black Black\nBlack Black Black Black Black Red Red Red Red Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Red Red Red Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Black\nBlack Blue Blue Blue Blue Blue Blue Black Red Red Red Red Black Black Black\nBlack Blue Blue Blue Black Black Black Black Red Red Red Red Blue Blue Blue\nBlack Blue Blue Blue Black Black Black Black Red Red Red Red Blue Blue Blue\nBlack Black Black Black Black Black Black Black Red Red Red Red Blue Blue Blue\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 Blue Black\nBlack Blue Blue Blue Black Red Red Red Red Black Black Black Black Blue Black\nBlack Blue Blue Blue Black Red Red Red Blue Blue Blue Blue Black Blue Black\nBlack Blue Blue Blue Black Red Red Red Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Red Red Red Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Blue Black\nBlack Black Black Black Blue Blue Blue Black Blue Blue Blue Blue Black Blue Black\nBlack Black Black Black Blue Blue Blue Black Blue Blue Blue Blue Black Blue Black\nBlack Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Red Red\nBlack Red Red Black Blue Blue Blue Black Black Blue Blue Blue Black Red Red\nBlack Red Red Black Blue Blue Blue Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Red Red Red Black Black\nBlack Black Black Red Red Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Red Red Black Blue Blue Blue Black Red Red Red Red Black\nBlack Black Black Black Black Black Blue Blue Blue Red Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Red 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 Blue Blue\nBlack Red Red Black Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue\nBlack Red Red Black Blue Blue Blue Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Blue Blue Blue Red Red Red Black Black\nBlack Black Black Blue Blue Black Black Black Black Blue Red Red Red Black Black\nBlack Black Black Blue Blue Black Blue Blue Blue Blue Red Red Red Red Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black\nBlack Pink Black Pink Pink Pink Black\nBlack Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Pink Pink Black Black\nPink Black Pink Pink Pink Pink\nBlack Black Pink Pink Black Black\nPink Black Pink Pink Pink Pink\nPink Pink Pink Black Black Black\nPink Pink Pink Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Orange Orange Orange Orange Black\nBlack Orange Orange Orange Black Black\nBlack Orange Orange Orange Black Black\nBlack Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Black\nBlack Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Black\nOrange Orange Orange Black Orange Orange Black\nOrange Orange Orange Black Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Pink Pink Pink Black\nBlack Pink Pink Pink Black\nBlack Pink Pink Pink 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```\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Purple Yellow Purple Yellow Purple Black Black Black\nBlack Purple Yellow Purple Yellow Purple Yellow Black Black Black\nBlack Yellow Purple Yellow Purple Yellow Purple Black Black Black\nBlack Purple Yellow Purple Yellow Purple Yellow Black Black Black\nBlack Yellow Purple Yellow Purple Yellow Purple Black Black Black\nBlack Purple Yellow Purple Yellow Purple Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Purple Yellow Purple Yellow Purple\nBlack Black Black Black Purple Yellow Purple Yellow Purple Yellow\nBlack Black Black Black Yellow Purple Yellow Purple Yellow Purple\nBlack Black Black Black Purple Yellow Purple Yellow Purple Yellow\nBlack Black Black Black Yellow Purple Yellow Purple Yellow Purple\nBlack Black Black Black Purple Yellow Purple Yellow Purple Yellow\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Yellow Purple Yellow Purple Yellow Purple\nBlack Black Black Black Purple Yellow Purple Yellow Purple Yellow\nBlack Black Black Black Yellow Purple Yellow Purple Yellow Purple\nBlack Black Black Black Purple Yellow Purple Yellow Purple Yellow\nBlack Black Black Black Yellow Purple Yellow Purple Yellow Purple\nBlack Black Black Black Purple Yellow Purple Yellow Purple Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Yellow Purple Yellow Purple Yellow Purple Black Black\nBlack Black Purple Yellow Purple Yellow Purple Yellow Black Black\nBlack Black Yellow Purple Yellow Purple Yellow Purple Black Black\nBlack Black Purple Yellow Purple Yellow Purple Yellow Black Black\nBlack Black Yellow Purple Yellow Purple Yellow Purple Black Black\nBlack Black Purple Yellow Purple Yellow Purple Yellow 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 Pink Pink Black Black\nBlack Pink Black Pink Black\nPink Pink Pink Black Pink\nBlack Black Black Black Black\n\nOutput:\nBlack Pink Black Pink Black\nBlack Black Pink Black Pink\nBlack Pink Black Pink Black\nBlack Black Pink Black Pink\n\n\nExample 2\nInput:\nBlack Orange Orange Orange\nOrange Orange Black Orange\nOrange Orange Black Orange\nOrange Black Black Orange\nBlack Black Orange Black\n\nOutput:\nBlack Black Black Black\nOrange Black Orange Black\nBlack Orange Black Orange\nOrange Black Orange Black\nBlack Orange Black Orange\n\n\nExample 3\nInput:\nGray Gray Gray Gray Black\nBlack Gray Black Black Black\nGray Black Black Gray Black\nBlack Black Black Gray Black\nBlack Black Black Black Black\n\nOutput:\nGray Black Gray Black Gray\nBlack Gray Black Gray Black\nBlack Gray Black Gray Black\nGray Black Gray Black Gray\nGray Black Gray Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Black\nPink Black Black\nBlack Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Pink\nPink Black Black\nBlack Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown 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 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 Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown 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 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 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 Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Black Black Black 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 Black Black Black 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 Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 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 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 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 Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black 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 Gray Gray Gray Black 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 Gray Gray Gray Black Black Black Black Black Black 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 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 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 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 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 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 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 Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange 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 Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange 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 Orange Orange Orange 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Blue Blue Black Black Black Black Black Black Black Black Black Green Blue Blue Black Black Black Black\nBlack Red Green Green Black Black Black Black Black Black Black Black Black Green Green Blue Black Black Black Black\nBlack Blue Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Pink Pink Black Black Black Black Black Black Black Black Black Orange Pink Pink Black Black Black Black\nBlack Yellow Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Pink Black Black Black Black\nBlack Pink Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Green Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Blue Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Blue Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\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 Pink Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Orange Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Pink Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Pink Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Pink Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\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 Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Blue Green Black Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Black Blue Blue Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Red Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Green Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Pink Orange Black Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Yellow Black Pink Pink Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Yellow Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Orange Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Blue Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Blue Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Pink Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Pink Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue 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 Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue 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 Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue 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 Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red 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 Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue 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 Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Blue Blue Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Blue Blue Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Red Red Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Red Red Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue 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 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 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Blue Blue Blue Blue Blue Blue 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 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Blue Blue 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 Blue Blue 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 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black 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 Blue Blue 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue 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 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 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 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 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 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 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 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 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 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 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 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue 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 Blue Blue 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 Blue Blue Black Black Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Red Red Black Black\nBlack 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 Black Black\nBlack 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 Black Black\nBlack 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 Black Black\nBlack 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 Black Black\nBlack 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 Black Black\nBlack 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 Black Black\nBlack 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 Black Black\nBlack 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 Black Black\nBlack 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 Black Black\nBlack 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 Black Black\nBlack 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 Black Black\nBlack 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 Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Pink Pink Blue Blue Green Green Purple Purple Brown Brown Purple Purple Blue Blue\nYellow Yellow Pink Pink Blue Blue Green Green Purple Purple Brown Brown Purple Purple Blue Blue\nGray Gray Brown Brown Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Gray Gray\nGray Gray Brown Brown Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Gray Gray\nYellow Yellow Green Green Orange Orange Purple Purple Gray Gray Pink Pink Pink Pink Purple Purple\nYellow Yellow Green Green Orange Orange Purple Purple Gray Gray Pink Pink Pink Pink Purple Purple\nPurple Purple Yellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow\nPurple Purple Yellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow\nOrange Orange Green Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green\nOrange Orange Green Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green\nPink Pink Gray Gray Purple Purple Orange Orange Yellow Yellow Purple Purple Red Red Orange Orange\nPink Pink Gray Gray Purple Purple Orange Orange Yellow Yellow Purple Purple Red Red Orange Orange\nGreen Green Orange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange Blue Blue\nGreen Green Orange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange Blue Blue\nPink Pink Brown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green\nPink Pink Brown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green\n\nOutput:\nOrange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Gray Gray Pink Pink Yellow Yellow\nOrange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Gray Gray Pink Pink Yellow Yellow\nBlack Black Gray Gray Yellow Yellow Pink Pink Pink Pink Orange Orange Orange Orange Black Black\nBlack Black Gray Gray Yellow Yellow Pink Pink Pink Pink Orange Orange Orange Orange Black Black\nOrange Orange Blue Blue Purple Purple Pink Pink Black Black Brown Brown Brown Brown Pink Pink\nOrange Orange Blue Blue Purple Purple Pink Pink Black Black Brown Brown Brown Brown Pink Pink\nPink Pink Orange Orange Black Black Gray Gray Pink Pink Gray Gray Purple Purple Orange Orange\nPink Pink Orange Orange Black Black Gray Gray Pink Pink Gray Gray Purple Purple Orange Orange\nPurple Purple Blue Blue Purple Purple Yellow Yellow Pink Pink Blue Blue Blue Blue Blue Blue\nPurple Purple Blue Blue Purple Purple Yellow Yellow Pink Pink Blue Blue Blue Blue Blue Blue\nBrown Brown Black Black Pink Pink Purple Purple Orange Orange Pink Pink Green Green Purple Purple\nBrown Brown Black Black Pink Pink Purple Purple Orange Orange Pink Pink Green Green Purple Purple\nBlue Blue Purple Purple Purple Purple Gray Gray Purple Purple Black Black Purple Purple Yellow Yellow\nBlue Blue Purple Purple Purple Purple Gray Gray Purple Purple Black Black Purple Purple Yellow Yellow\nBrown Brown Gray Gray Pink Pink Black Black Brown Brown Purple Purple Gray Gray Blue Blue\nBrown Brown Gray Gray Pink Pink Black Black Brown Brown Purple Purple Gray Gray Blue Blue\n\n\nExample 2\nInput:\nRed Red Purple Purple Gray Gray Pink Pink Gray Gray Yellow Yellow Purple Purple\nRed Red Purple Purple Gray Gray Pink Pink Gray Gray Yellow Yellow Purple Purple\nOrange Orange Blue Blue Green Green Red Red Pink Pink Blue Blue Purple Purple\nOrange Orange Blue Blue Green Green Red Red Pink Pink Blue Blue Purple Purple\nYellow Yellow Orange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink\nYellow Yellow Orange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink\nBlue Blue Orange Orange Brown Brown Pink Pink Green Green Green Green Yellow Yellow\nBlue Blue Orange Orange Brown Brown Pink Pink Green Green Green Green Yellow Yellow\nBrown Brown Brown Brown Purple Purple Purple Purple Brown Brown Pink Pink Orange Orange\nBrown Brown Brown Brown Purple Purple Purple Purple Brown Brown Pink Pink Orange Orange\nRed Red Orange Orange Brown Brown Blue Blue Purple Purple Brown Brown Gray Gray\nRed Red Orange Orange Brown Brown Blue Blue Purple Purple Brown Brown Gray Gray\nYellow Yellow Blue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray\nYellow Yellow Blue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray\n\nOutput:\nGreen Green Pink Pink Black Black Brown Brown Black Black Orange Orange Pink Pink\nGreen Green Pink Pink Black Black Brown Brown Black Black Orange Orange Pink Pink\nPurple Purple Yellow Yellow Blue Blue Green Green Brown Brown Yellow Yellow Pink Pink\nPurple Purple Yellow Yellow Blue Blue Green Green Brown Brown Yellow Yellow Pink Pink\nOrange Orange Purple Purple Orange Orange Yellow Yellow Pink Pink Pink Pink Brown Brown\nOrange Orange Purple Purple Orange Orange Yellow Yellow Pink Pink Pink Pink Brown Brown\nYellow Yellow Purple Purple Gray Gray Brown Brown Blue Blue Blue Blue Orange Orange\nYellow Yellow Purple Purple Gray Gray Brown Brown Blue Blue Blue Blue Orange Orange\nGray Gray Gray Gray Pink Pink Pink Pink Gray Gray Brown Brown Purple Purple\nGray Gray Gray Gray Pink Pink Pink Pink Gray Gray Brown Brown Purple Purple\nGreen Green Purple Purple Gray Gray Yellow Yellow Pink Pink Gray Gray Black Black\nGreen Green Purple Purple Gray Gray Yellow Yellow Pink Pink Gray Gray Black Black\nOrange Orange Yellow Yellow Green Green Blue Blue Brown Brown Yellow Yellow Black Black\nOrange Orange Yellow Yellow Green Green Blue Blue Brown Brown Yellow Yellow Black Black\n\n\nExample 3\nInput:\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Blue Blue\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Blue Blue\nRed Red Brown Brown Green Green Blue Blue Green Green Yellow Yellow Green Green Blue Blue Yellow Yellow\nRed Red Brown Brown Green Green Blue Blue Green Green Yellow Yellow Green Green Blue Blue Yellow Yellow\nBlue Blue Gray Gray Green Green Gray Gray Blue Blue Blue Blue Purple Purple Orange Orange Purple Purple\nBlue Blue Gray Gray Green Green Gray Gray Blue Blue Blue Blue Purple Purple Orange Orange Purple Purple\nPurple Purple Orange Orange Gray Gray Pink Pink Purple Purple Brown Brown Yellow Yellow Brown Brown Pink Pink\nPurple Purple Orange Orange Gray Gray Pink Pink Purple Purple Brown Brown Yellow Yellow Brown Brown Pink Pink\nBlue Blue Blue Blue Brown Brown Green Green Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink\nBlue Blue Blue Blue Brown Brown Green Green Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink\nOrange Orange Gray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green Purple Purple\nOrange Orange Gray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green Purple Purple\nBrown Brown Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Orange Orange Purple Purple Pink Pink\nBrown Brown Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Orange Orange Purple Purple Pink Pink\n\nOutput:\nOrange Orange Yellow Yellow Purple Purple Orange Orange Gray Gray Gray Gray Brown Brown Pink Pink Yellow Yellow\nOrange Orange Yellow Yellow Purple Purple Orange Orange Gray Gray Gray Gray Brown Brown Pink Pink Yellow Yellow\nGreen Green Gray Gray Blue Blue Yellow Yellow Blue Blue Orange Orange Blue Blue Yellow Yellow Orange Orange\nGreen Green Gray Gray Blue Blue Yellow Yellow Blue Blue Orange Orange Blue Blue Yellow Yellow Orange Orange\nYellow Yellow Black Black Blue Blue Black Black Yellow Yellow Yellow Yellow Pink Pink Purple Purple Pink Pink\nYellow Yellow Black Black Blue Blue Black Black Yellow Yellow Yellow Yellow Pink Pink Purple Purple Pink Pink\nPink Pink Purple Purple Black Black Brown Brown Pink Pink Gray Gray Orange Orange Gray Gray Brown Brown\nPink Pink Purple Purple Black Black Brown Brown Pink Pink Gray Gray Orange Orange Gray Gray Brown Brown\nYellow Yellow Yellow Yellow Gray Gray Blue Blue Purple Purple Black Black Green Green Orange Orange Brown Brown\nYellow Yellow Yellow Yellow Gray Gray Blue Blue Purple Purple Black Black Green Green Orange Orange Brown Brown\nPurple Purple Black Black Brown Brown Yellow Yellow Pink Pink Orange Orange Purple Purple Blue Blue Pink Pink\nPurple Purple Black Black Brown Brown Yellow Yellow Pink Pink Orange Orange Purple Purple Blue Blue Pink Pink\nGray Gray Orange Orange Orange Orange Green Green Blue Blue Yellow Yellow Purple Purple Pink Pink Brown Brown\nGray Gray Orange Orange Orange Orange Green Green Blue Blue Yellow Yellow Purple Purple Pink Pink Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Red Red Yellow Yellow\nGray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Red Red Yellow Yellow\nGray Gray Gray Gray Red Red Purple Purple Blue Blue Red Red Yellow Yellow Orange Orange Blue Blue\nGray Gray Gray Gray Red Red Purple Purple Blue Blue Red Red Yellow Yellow Orange Orange Blue Blue\nPurple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow\nPurple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow\nBrown Brown Orange Orange Purple Purple Purple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple\nBrown Brown Orange Orange Purple Purple Purple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple\nYellow Yellow Purple Purple Green Green Gray Gray Orange Orange Red Red Pink Pink Green Green Green Green\nYellow Yellow Purple Purple Green Green Gray Gray Orange Orange Red Red Pink Pink Green Green Green Green\nBlue Blue Red Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange\nBlue Blue Red Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange\nPink Pink Purple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray\nPink Pink Purple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray\nGray Gray Pink Pink Gray Gray Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink\nGray Gray Pink Pink Gray Gray Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink\nPink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue Pink Pink\nPink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown 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```\nBlack Black Pink Pink Purple Purple Blue Blue Pink Pink Blue Blue Brown Brown Green Green Orange Orange\nBlack Black Pink Pink Purple Purple Blue Blue Pink Pink Blue Blue Brown Brown Green Green Orange Orange\nBlack Black Black Black Green Green Pink Pink Yellow Yellow Green Green Orange Orange Purple Purple Yellow Yellow\nBlack Black Black Black Green Green Pink Pink Yellow Yellow Green Green Orange Orange Purple Purple Yellow Yellow\nPink Pink Gray Gray Purple Purple Gray Gray Orange Orange Yellow Yellow Brown Brown Yellow Yellow Orange Orange\nPink Pink Gray Gray Purple Purple Gray Gray Orange Orange Yellow Yellow Brown Brown Yellow Yellow Orange Orange\nGray Gray Purple Purple Pink Pink Pink Pink Orange Orange Yellow Yellow Blue Blue Green Green Pink Pink\nGray Gray Purple Purple Pink Pink Pink Pink Orange Orange Yellow Yellow Blue Blue Green Green Pink Pink\nOrange Orange Pink Pink Blue Blue Black Black Purple Purple Green Green Brown Brown Blue Blue Blue Blue\nOrange Orange Pink Pink Blue Blue Black Black Purple Purple Green Green Brown Brown Blue Blue Blue Blue\nYellow Yellow Green Green Brown Brown Gray Gray Green Green Pink Pink Purple Purple Yellow Yellow Purple Purple\nYellow Yellow Green Green Brown Brown Gray Gray Green Green Pink Pink Purple Purple Yellow Yellow Purple Purple\nBrown Brown Pink Pink Gray Gray Orange Orange Yellow Yellow Purple Purple Purple Purple Brown Brown Black Black\nBrown Brown Pink Pink Gray Gray Orange Orange Yellow Yellow Purple Purple Purple Purple Brown Brown Black Black\nBlack Black Brown Brown Black Black Brown Brown Gray Gray Gray Gray Purple Purple Brown Brown Brown Brown\nBlack Black Brown Brown Black Black Brown Brown Gray Gray Gray Gray Purple Purple Brown Brown Brown Brown\nBrown Brown Black Black Blue Blue Brown Brown Gray Gray Black Black Gray Gray Yellow Yellow Brown Brown\nBrown Brown Black Black Blue Blue Brown Brown Gray Gray Black Black Gray Gray Yellow Yellow Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black\nBlack Black Black Red Red Black Black Black Black\nBlack Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black\nBlack Red Red Black Red Red Black Black Black\nBlack Black Black Black Red Red Black Black Black\nBlack Black Black Black Red Red Black Black Black\nBlack Red Red Black Black Black Black Black Black\nBlack Red Red Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Black Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Red Black Black\nBlack Red Red Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Black\nBlack Yellow Yellow 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Green Black Black Gray\nBlack Black Gray Black Black Gray Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Green Black Black Gray\nBlack Black Gray Black Black Gray Green Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Gray 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 Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Gray Black\n\nOutput:\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Green Green Green 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\nBlack Black Black Black Black Black Gray Black Gray Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nGray Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nGray Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Gray 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\nGray Black Black Black Gray Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Black Green Black Gray Black Green Black Black\nBlack Gray Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Black Gray Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Black Green Green Gray Black Green Black Black\nBlack Gray Black Black Green Gray Gray Green Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Gray Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink\nYellow Yellow Yellow Brown Brown Brown Gray Gray Gray Black Black Black Brown Brown Brown Pink Pink Pink Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Gray Gray Gray Black Black Black Brown Brown Brown Pink Pink Pink Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Gray Gray Gray Black Black Black Brown Brown Brown Pink Pink Pink Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Red Red Red Purple Purple Purple Orange Orange Orange Blue Blue Blue Purple Purple Purple Pink Pink Pink Orange Orange Orange\nBrown Brown Brown Red Red Red Purple Purple Purple Orange Orange Orange Blue Blue Blue Purple Purple Purple Pink Pink Pink Orange Orange Orange\nBrown Brown Brown Red Red Red Purple Purple Purple Orange Orange Orange Blue Blue Blue Purple Purple Purple Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray Gray Green Green Green Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray Gray Green Green Green Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray Gray Green Green Green Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Pink Pink Pink Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Pink Pink Pink Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Pink Pink Pink Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink Green Green Green Brown Brown Brown Brown Brown Brown\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink Green Green Green Brown Brown Brown Brown Brown Brown\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink Green Green Green Brown Brown Brown Brown Brown Brown\nGreen Green Green Black Black Black Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray Green Green Green\nGreen Green Green Black Black Black Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray Green Green Green\nGreen Green Green Black Black Black Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray Green Green Green\n\nOutput:\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Green Green Green Black Black Black\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Green Green Green Black Black Black\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Green Green Green Black Black Black\nYellow Yellow Yellow Brown Brown Brown Gray Gray Gray Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Gray Gray Gray Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Gray Gray Gray Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Brown Brown Brown\nBrown Brown Brown Red Red Red Purple Purple Purple Orange Orange Orange Blue Blue Blue Black Black Black Pink Pink Pink Orange Orange Orange\nBrown Brown Brown Red Red Red Purple Purple Purple Orange Orange Orange Blue Blue Blue Black Black Black Pink Pink Pink Orange Orange Orange\nBrown Brown Brown Red Red Red Purple Purple Purple Orange Orange Orange Blue Blue Blue Black Black Black Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black Green Green Green Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black Green Green Green Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black Green Green Green Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Black Black Black Pink Pink Pink Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Black Black Black Pink Pink Pink Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Black Black Black Pink Pink Pink Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Black Black Black Pink Pink Pink Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Black Black Black Pink Pink Pink Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Black Black Black Pink Pink Pink Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple\nGray Gray Gray Black Black Black Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink Green Green Green Brown Brown Brown Brown Brown Brown\nGray Gray Gray Black Black Black Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink Green Green Green Brown Brown Brown Brown Brown Brown\nGray Gray Gray Black Black Black Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink Green Green Green Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray Green Green Green\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray Green Green Green\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray Green Green Green\n\n\nExample 2\nInput:\nYellow Yellow Yellow Brown Brown Brown Purple Purple Purple Brown Brown Brown Pink Pink Pink Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Purple Purple Purple Brown Brown Brown Pink Pink Pink Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Purple Purple Purple Brown Brown Brown Pink Pink Pink Red Red Red Yellow Yellow Yellow\nPurple Purple Purple Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Blue Blue Blue Black Black Black\nPurple Purple Purple Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Blue Blue Blue Black Black Black\nPurple Purple Purple Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Blue Blue Blue Black Black Black\nGray Gray Gray Purple Purple Purple Red Red Red Orange Orange Orange Red Red Red Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Red Red Red Orange Orange Orange Red Red Red Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Red Red Red Orange Orange Orange Red Red Red Orange Orange Orange Purple Purple Purple\nGreen Green Green Gray Gray Gray Purple Purple Purple Green Green Green Pink Pink Pink Black Black Black Pink Pink Pink\nGreen Green Green Gray Gray Gray Purple Purple Purple Green Green Green Pink Pink Pink Black Black Black Pink Pink Pink\nGreen Green Green Gray Gray Gray Purple Purple Purple Green Green Green Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Brown Brown Brown Green Green Green\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Brown Brown Brown Green Green Green\nPink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Brown Brown Brown Green Green Green\nGray Gray Gray Blue Blue Blue Orange Orange Orange Orange Orange Orange Black Black Black Blue Blue Blue Blue Blue Blue\nGray Gray Gray Blue Blue Blue Orange Orange Orange Orange Orange Orange Black Black Black Blue Blue Blue Blue Blue Blue\nGray Gray Gray Blue Blue Blue Orange Orange Orange Orange Orange Orange Black Black Black Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Red Red Red Green Green Green Black Black Black Pink Pink Pink Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Green Green Green Black Black Black Pink Pink Pink Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Green Green Green Black Black Black Pink Pink Pink Gray Gray Gray\n\nOutput:\nYellow Yellow Yellow Brown Brown Brown Purple Purple Purple Brown Brown Brown Pink Pink Pink Red Red Red Black Black Black\nYellow Yellow Yellow Brown Brown Brown Purple Purple Purple Brown Brown Brown Pink Pink Pink Red Red Red Black Black Black\nYellow Yellow Yellow Brown Brown Brown Purple Purple Purple Brown Brown Brown Pink Pink Pink Red Red Red Black Black Black\nPurple Purple Purple Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black\nPurple Purple Purple Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black\nPurple Purple Purple Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black\nGray Gray Gray Purple Purple Purple Red Red Red Orange Orange Orange Black Black Black Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Red Red Red Orange Orange Orange Black Black Black Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Red Red Red Orange Orange Orange Black Black Black Orange Orange Orange Purple Purple Purple\nGreen Green Green Gray Gray Gray Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nGreen Green Green Gray Gray Gray Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nGreen Green Green Gray Gray Gray Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Blue Blue Blue Black Black Black Blue Blue Blue Pink Pink Pink Brown Brown Brown Green Green Green\nPink Pink Pink Blue Blue Blue Black Black Black Blue Blue Blue Pink Pink Pink Brown Brown Brown Green Green Green\nPink Pink Pink Blue Blue Blue Black Black Black Blue Blue Blue Pink Pink Pink Brown Brown Brown Green Green Green\nGray Gray Gray Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Blue Blue Blue Blue Blue Blue\nGray Gray Gray Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Blue Blue Blue Blue Blue Blue\nGray Gray Gray Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Red Red Red Green Green Green Black Black Black Pink Pink Pink Gray Gray Gray\nBlack Black Black Gray Gray Gray Red Red Red Green Green Green Black Black Black Pink Pink Pink Gray Gray Gray\nBlack Black Black Gray Gray Gray Red Red Red Green Green Green Black Black Black Pink Pink Pink Gray Gray Gray\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Orange Orange Orange Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Orange Orange Orange Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Orange Orange Orange Brown Brown Brown\nBlack Black Black Yellow Yellow Yellow Orange Orange Orange Green Green Green Pink Pink Pink Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Orange Orange Orange Green Green Green Pink Pink Pink Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Orange Orange Orange Green Green Green Pink Pink Pink Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Yellow Yellow Yellow Purple Purple Purple Black Black Black\nBlue Blue Blue Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Yellow Yellow Yellow Purple Purple Purple Black Black Black\nBlue Blue Blue Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Yellow Yellow Yellow Purple Purple Purple Black Black Black\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink Red Red Red Brown Brown Brown Red Red Red Brown Brown Brown Orange Orange Orange Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink Red Red Red Brown Brown Brown Red Red Red Brown Brown Brown Orange Orange Orange Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink Red Red Red Brown Brown Brown Red Red Red Brown Brown Brown Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Black Black Black Gray Gray Gray Purple Purple Purple Green Green Green Blue Blue Blue Purple Purple Purple Brown Brown Brown Orange Orange Orange\nYellow Yellow Yellow Black Black Black Gray Gray Gray Purple Purple Purple Green Green Green Blue Blue Blue Purple Purple Purple Brown Brown Brown Orange Orange Orange\nYellow Yellow Yellow Black Black Black Gray Gray Gray Purple Purple Purple Green Green Green Blue Blue Blue Purple Purple Purple Brown Brown Brown Orange Orange Orange\nBrown Brown Brown Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Green Green Green\nBrown Brown Brown Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Green Green Green\nBrown Brown Brown Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Green Green Green\nGreen Green Green Black Black Black Orange Orange Orange Green Green Green Purple Purple Purple Red Red Red Orange Orange Orange Orange Orange Orange Pink Pink Pink\nGreen Green Green Black Black Black Orange Orange Orange Green Green Green Purple Purple Purple Red Red Red Orange Orange Orange Orange Orange Orange Pink Pink Pink\nGreen Green Green Black Black Black Orange Orange Orange Green Green Green Purple Purple Purple Red Red Red Orange Orange Orange Orange Orange Orange Pink Pink Pink\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Orange Orange Orange Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Orange Orange Orange Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Orange Orange Orange Black Black Black\nBlack Black Black Yellow Yellow Yellow Orange Orange Orange Green Green Green Pink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Orange Orange Orange Green Green Green Pink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Orange Orange Orange Green Green Green Pink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Black Black Black Purple Purple Purple Black Black Black\nBlue Blue Blue Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Black Black Black Purple Purple Purple Black Black Black\nBlue Blue Blue Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Black Black Black Purple Purple Purple Black Black Black\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink Red Red Red Brown Brown Brown Black Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink Red Red Red Brown Brown Brown Black Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink Red Red Red Brown Brown Brown Black Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Black Black Black Gray Gray Gray Purple Purple Purple Black Black Black Blue Blue Blue Purple Purple Purple Brown Brown Brown Orange Orange Orange\nYellow Yellow Yellow Black Black Black Gray Gray Gray Purple Purple Purple Black Black Black Blue Blue Blue Purple Purple Purple Brown Brown Brown Orange Orange Orange\nYellow Yellow Yellow Black Black Black Gray Gray Gray Purple Purple Purple Black Black Black Blue Blue Blue Purple Purple Purple Brown Brown Brown Orange Orange Orange\nBrown Brown Brown Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Green Green Green\nBrown Brown Brown Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Green Green Green\nBrown Brown Brown Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Green Green Green\nGreen Green Green Black Black Black Black Black Black Green Green Green Purple Purple Purple Red Red Red Orange Orange Orange Orange Orange Orange Pink Pink Pink\nGreen Green Green Black Black Black Black Black Black Green Green Green Purple Purple Purple Red Red Red Orange Orange Orange Orange Orange Orange Pink Pink Pink\nGreen Green Green Black Black Black Black Black Black Green Green Green Purple Purple Purple Red Red Red Orange Orange Orange Orange Orange Orange Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink\nBlack Black Black Gray Gray Gray Blue Blue Blue Purple Purple Purple Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Blue Blue Blue Purple Purple Purple Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Blue Blue Blue Purple Purple Purple Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nRed Red Red Black Black Black Green Green Green Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Green Green Green Pink Pink Pink Pink Pink Pink\nRed Red Red Black Black Black Green Green Green Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Green Green Green Pink Pink Pink Pink Pink Pink\nRed Red Red Black Black Black Green Green Green Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Green Green Green Pink Pink Pink Pink Pink Pink\nPink Pink Pink Orange Orange Orange Red Red Red Pink Pink Pink Purple Purple Purple Pink Pink Pink Brown Brown Brown Brown Brown Brown Gray Gray Gray\nPink Pink Pink Orange Orange Orange Red Red Red Pink Pink Pink Purple Purple Purple Pink Pink Pink Brown Brown Brown Brown Brown Brown Gray Gray Gray\nPink Pink Pink Orange Orange Orange Red Red Red Pink Pink Pink Purple Purple Purple Pink Pink Pink Brown Brown Brown Brown Brown Brown Gray Gray Gray\nRed Red Red Pink Pink Pink Yellow Yellow Yellow Green Green Green Brown Brown Brown Orange Orange Orange Blue Blue Blue Pink Pink Pink Black Black Black\nRed Red Red Pink Pink Pink Yellow Yellow Yellow Green Green Green Brown Brown Brown Orange Orange Orange Blue Blue Blue Pink Pink Pink Black Black Black\nRed Red Red Pink Pink Pink Yellow Yellow Yellow Green Green Green Brown Brown Brown Orange Orange Orange Blue Blue Blue Pink Pink Pink Black Black Black\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Gray Gray Gray Purple Purple Purple Gray Gray Gray Green Green Green Green Green Green Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Gray Gray Gray Purple Purple Purple Gray Gray Gray Green Green Green Green Green Green Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Gray Gray Gray Purple Purple Purple Gray Gray Gray Green Green Green Green Green Green Gray Gray Gray\nOrange Orange Orange Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Black Black Black Blue Blue Blue\nOrange Orange Orange Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Black Black Black Blue Blue Blue\nOrange Orange Orange Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Black Black Black Blue Blue Blue\nGray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Purple Purple Purple Pink Pink Pink Purple Purple Purple Blue Blue Blue Orange Orange Orange\nGray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Purple Purple Purple Pink Pink Pink Purple Purple Purple Blue Blue Blue Orange Orange Orange\nGray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Purple Purple Purple Pink Pink Pink Purple Purple Purple Blue Blue Blue Orange Orange Orange\nPink Pink Pink Orange Orange Orange Brown Brown Brown Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Pink Pink Pink\nPink Pink Pink Orange Orange Orange Brown Brown Brown Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Pink Pink Pink\nPink Pink Pink Orange Orange Orange Brown Brown Brown Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue 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```\nPink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Black Black Black\nPink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Black Black Black\nPink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Black Black Black\nBlack Black Black Gray Gray Gray Blue Blue Blue Purple Purple Purple Orange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Blue Blue Blue Purple Purple Purple Orange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Blue Blue Blue Purple Purple Purple Orange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray\nRed Red Red Black Black Black Green Green Green Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Black Black Black Pink Pink Pink Pink Pink Pink\nRed Red Red Black Black Black Green Green Green Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Black Black Black Pink Pink Pink Pink Pink Pink\nRed Red Red Black Black Black Green Green Green Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Orange Orange Orange Red Red Red Pink Pink Pink Purple Purple Purple Black Black Black Brown Brown Brown Brown Brown Brown Gray Gray Gray\nPink Pink Pink Orange Orange Orange Red Red Red Pink Pink Pink Purple Purple Purple Black Black Black Brown Brown Brown Brown Brown Brown Gray Gray Gray\nPink Pink Pink Orange Orange Orange Red Red Red Pink Pink Pink Purple Purple Purple Black Black Black Brown Brown Brown Brown Brown Brown Gray Gray Gray\nRed Red Red Pink Pink Pink Yellow Yellow Yellow Green Green Green Black Black Black Orange Orange Orange Blue Blue Blue Pink Pink Pink Black Black Black\nRed Red Red Pink Pink Pink Yellow Yellow Yellow Green Green Green Black Black Black Orange Orange Orange Blue Blue Blue Pink Pink Pink Black Black Black\nRed Red Red Pink Pink Pink Yellow Yellow Yellow Green Green Green Black Black Black Orange Orange Orange Blue Blue Blue Pink Pink Pink Black Black Black\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Black Black Black Purple Purple Purple Gray Gray Gray Green Green Green Green Green Green Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Black Black Black Purple Purple Purple Gray Gray Gray Green Green Green Green Green Green Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Black Black Black Purple Purple Purple Gray Gray Gray Green Green Green Green Green Green Gray Gray Gray\nOrange Orange Orange Red Red Red Black Black Black Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Black Black Black Blue Blue Blue\nOrange Orange Orange Red Red Red Black Black Black Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Black Black Black Blue Blue Blue\nOrange Orange Orange Red Red Red Black Black Black Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Black Black Black Blue Blue Blue\nGray Gray Gray Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Pink Pink Pink Purple Purple Purple Blue Blue Blue Orange Orange Orange\nGray Gray Gray Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Pink Pink Pink Purple Purple Purple Blue Blue Blue Orange Orange Orange\nGray Gray Gray Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Pink Pink Pink Purple Purple Purple Blue Blue Blue Orange Orange Orange\nBlack Black Black Orange Orange Orange Brown Brown Brown Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Pink Pink Pink\nBlack Black Black Orange Orange Orange Brown Brown Brown Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Pink Pink Pink\nBlack Black Black Orange Orange Orange Brown Brown Brown Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue 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:\nYellow Yellow Yellow Yellow Red\nBlack Black Black Black Yellow\nPink Pink Black Black Yellow\nPink Pink Black Black Yellow\nBlack Black Black Black Yellow\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Green\nGreen Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Green\nGreen Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green\nGreen Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Yellow Yellow Yellow Green\nGreen Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Yellow Yellow Yellow Green\nGreen Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Yellow Yellow Yellow Green\nGreen Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Yellow Yellow Yellow Green\nGreen Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Yellow Yellow Yellow Green\nGreen Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Yellow Yellow Yellow Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nGreen Green Green Gray Pink\nBlack Black Black Black Gray\nRed Red Black Black Green\nRed Red Black Black Green\nBlack Black Black Black Green\n\nOutput:\nGreen 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 Gray Gray Gray Gray Pink Pink Pink Pink Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Green\nGreen Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Green Green Green Green Green\nGreen Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Green Green Green Green Green\nGreen Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Green Green Green Green Green\nGreen Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Green Green Green Green Green\nGreen Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Green Green Green Green Green\nGreen Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Green Green Green Green Green\nGreen Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Green Green Green Green Green\nGreen Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Green Green Green Green Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\n\n\nExample 3\nInput:\nGreen Green Green Green Green\nBlack Black Black Black Green\nBrown Brown Black Black Green\nBrown Brown Black Black Green\nBlack Black Black Black Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Black Black Black Black Black Black Black Green Green Green\nGreen Black Black Black Black Black Black Black Black Green Green Green\nGreen Brown Brown Brown Brown Black Black Black Black Green Green Green\nGreen Brown Brown Brown Brown Black Black Black Black Green Green Green\nGreen Brown Brown Brown Brown Black Black Black Black Green Green Green\nGreen Brown Brown Brown Brown Black Black Black Black Green Green Green\nGreen Black Black Black Black Black Black Black Black Green Green Green\nGreen Black Black Black Black Black Black Black Black Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray\nBlack Black Black Black Gray\nBlack Black Black Black Gray\nPink Pink Black Black Gray\nPink Pink Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green\nGreen Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green\nGreen Black Black Black Black Black Black Black Black Gray Gray Green\nGreen Black Black Black Black Black Black Black Black Gray Gray Green\nGreen Black Black Black Black Black Black Black Black Gray Gray Green\nGreen Black Black Black Black Black Black Black Black Gray Gray Green\nGreen Pink Pink Pink Pink Black Black Black Black Gray Gray Green\nGreen Pink Pink Pink Pink Black Black Black Black Gray Gray Green\nGreen Pink Pink Pink Pink Black Black Black Black Gray Gray Green\nGreen Pink Pink Pink Pink Black Black Black Black Gray Gray Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red\nRed Red Red\nRed 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown\nBrown Brown Brown\nBrown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple\nPurple Purple Purple\nPurple 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:\nBrown Green Green Blue Red Brown\nBrown Green Brown Yellow Orange Blue\nPurple Blue Pink Brown Blue Blue\nGray Blue Blue Gray Gray Gray\nOrange Orange Blue Gray Blue Yellow\nOrange Pink Blue Blue Blue Yellow\n\nOutput:\nBrown Green Green Blue Red Brown Purple Red Red Yellow Green Purple\nBrown Green Brown Yellow Orange Blue Purple Red Purple Blue Orange Yellow\nPurple Blue Pink Brown Blue Blue Brown Yellow Gray Purple Yellow Yellow\nGray Blue Blue Gray Gray Gray Pink Yellow Yellow Pink Pink Pink\nOrange Orange Blue Gray Blue Yellow Orange Orange Yellow Pink Yellow Blue\nOrange Pink Blue Blue Blue Yellow Orange Gray Yellow Yellow Yellow Blue\n\n\nExample 2\nInput:\nYellow Yellow Green Yellow Pink\nGray Gray Green Pink Pink\nBrown Brown Green Blue Blue\nBrown Orange Yellow Brown Purple\nRed Gray Gray Purple Orange\n\nOutput:\nYellow Yellow Green Yellow Pink Blue Blue Red Blue Gray\nGray Gray Green Pink Pink Pink Pink Red Gray Gray\nBrown Brown Green Blue Blue Purple Purple Red Yellow Yellow\nBrown Orange Yellow Brown Purple Purple Orange Blue Purple Brown\nRed Gray Gray Purple Orange Green Pink Pink Brown Orange\n\n\nExample 3\nInput:\nYellow Yellow Blue Gray Gray\nPurple Blue Pink Gray Blue\nOrange Blue Yellow Red Green\nBrown Blue Yellow Orange Brown\nPurple Blue Pink Orange Yellow\nOrange Brown Pink Brown Blue\nOrange Brown Brown Gray Blue\n\nOutput:\nYellow Yellow Blue Gray Gray Blue Blue Yellow Pink Pink\nPurple Blue Pink Gray Blue Brown Yellow Gray Pink Yellow\nOrange Blue Yellow Red Green Orange Yellow Blue Green Red\nBrown Blue Yellow Orange Brown Purple Yellow Blue Orange Purple\nPurple Blue Pink Orange Yellow Brown Yellow Gray Orange Blue\nOrange Brown Pink Brown Blue Orange Purple Gray Purple Yellow\nOrange Brown Brown Gray Blue Orange Purple Purple Pink Yellow\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Blue Blue Yellow Red\nBlue Purple Blue Pink Pink Blue Red\nGray Yellow Yellow Pink Pink Orange Orange\nOrange Yellow Yellow Pink Purple Pink Pink\nOrange Orange Pink Pink Green Gray Purple\nPink Pink Pink Green Green Purple Red\nBrown Pink Red Red Orange Orange 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```\nPurple Purple Purple Blue Blue Yellow Red Brown Brown Brown Yellow Yellow Blue Green\nBlue Purple Blue Pink Pink Blue Red Yellow Brown Yellow Gray Gray Yellow Green\nGray Yellow Yellow Pink Pink Orange Orange Pink Blue Blue Gray Gray Orange Orange\nOrange Yellow Yellow Pink Purple Pink Pink Orange Blue Blue Gray Brown Gray Gray\nOrange Orange Pink Pink Green Gray Purple Orange Orange Gray Gray Red Pink Brown\nPink Pink Pink Green Green Purple Red Gray Gray Gray Red Red Brown Green\nBrown Pink Red Red Orange Orange Green Purple Gray Green Green Orange Orange 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 Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Green Green 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 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 Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black Green Green Black Black\nBlack Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Green Green Black Black Green Green Green Green Black Black\nGreen Green Green Green Black Black Black Black Black Black Green Green Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple 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 Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Black Black Black Black Purple Purple Black Black Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Purple Purple Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Gray Gray Black\nBlack Black Black Black Brown Brown Brown Brown Black Gray Gray Black\nBlue Blue Blue Black Brown Brown Brown Brown Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Green Green Green Black Black Black Black Black Black Orange Orange\nBlack Green Green Green Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Pink Pink Pink Pink Black Black Black Red Red Red\nBlack Black Pink Pink Pink Pink Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Green Pink Purple Brown Gray Red Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple\nBlack Green Green Green Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Brown Brown Brown Black Black Black Black Black Red Red Black Black\nBlack Green Green Green 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\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Gray Gray Black Black Black Black Black Black Yellow Yellow\nBlack Orange Orange Orange Black Black Black Gray Gray Black Black Black Black Black Black Yellow Yellow\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\n\nOutput:\nOrange Green Brown Gray Blue Red Yellow Purple\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 Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nBrown Orange Blue Yellow Gray\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Black Black Blue Blue Blue Blue Black Red Red Red Red Black Black Green Green Green Green\nBrown Brown Black Black Blue Blue Blue Blue Black Red Red Red Red Black Black Green Green Green Green\nBrown Brown Black Black Blue Blue Blue Blue Black Red Red Red Red Black Black Green Green Green Green\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Yellow Yellow Yellow Yellow Black Black Black Black\nOrange Orange Orange Orange Black Black Gray Gray Gray Gray Black Yellow Yellow Yellow Yellow Black Pink Pink Black\nOrange Orange Orange Orange Black Black Gray Gray Gray Gray Black Yellow Yellow Yellow Yellow Black Pink Pink Black\nOrange Orange Orange Orange Black Black Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Orange Blue Gray Red Purple Yellow Pink Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Red\nBlack Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Purple Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Red Black Black Black\nBlack Black Red Red Black Black Black\nBlack Black Black Red Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Purple Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\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 Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Red Red Black Black\nBlack Black Black Black Red Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Purple Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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:\nPink Black Black Black Black Black Black\nPurple Pink Black Black Black Black Black\nBlack Orange Orange Black Black Black Black\nGray Orange Black Pink Black Black Black\nBlack Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black\n\nOutput:\nPink Black Black Pink Black Black Pink\nPurple Pink Black Pink Black Pink Purple\nBlack Orange Orange Pink Orange Orange Black\nGray Orange Black Pink Black Orange Gray\nBlack Black Black Pink Black Black Black\nBlack Orange Black Pink Black Orange Black\n\n\nExample 2\nInput:\nBlue Black Pink Black Black Black\nBlack Orange Blue Black Black Black\nBlack Black Brown Black Black Black\nBlack Black Black Orange Black Black\nBlack Black Green Black Black Black\nBlack Yellow Black Black Black Black\nBlue Black Orange Black Black Black\n\nOutput:\nBlue Black Pink Pink Black Blue\nBlack Orange Blue Blue Orange Black\nBlack Black Brown Brown Black Black\nBlack Black Black Black Black Black\nBlack Black Green Green Black Black\nBlack Yellow Black Black Yellow Black\nBlue Black Orange Orange Black Blue\n\n\nExample 3\nInput:\nYellow Black Green Black Black Black Black\nPurple Orange Black Black Black Black Black\nBlack Purple Green Black Black Black Black\nBlack Blue Black Gray Black Black Black\nOrange Red Purple Black Black Black Black\nBlack Black Black Black Black Black Black\nPink Black Brown Black Black Black Black\n\nOutput:\nYellow Black Green Yellow Green Black Yellow\nPurple Orange Black Yellow Black Orange Purple\nBlack Purple Green Yellow Green Purple Black\nBlack Blue Black Yellow Black Blue Black\nOrange Red Purple Yellow Purple Red Orange\nBlack Black Black Yellow Black Black Black\nPink Black Brown Yellow Brown Black Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBrown Brown Black Black Black\nBlack Black Pink Black Black\nPink Brown Black Black Black\nBlack 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 Brown Black Black\nBrown Brown Brown Brown Brown\nBlack Black Brown Black Black\nPink Brown Brown Brown Pink\nBlack Pink Brown Pink Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Gray Gray Gray Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Gray Gray Gray Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Gray Gray Gray Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Gray Gray Gray Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Gray Gray Gray Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Gray Gray Gray Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray 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\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\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\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 Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Orange Orange Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Orange Orange Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Orange Orange Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Orange Orange Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Orange Orange Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Red Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Red Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Red Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Red Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Red Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Purple Purple Purple Purple Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Purple Purple Purple Purple Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Purple Purple Purple Purple Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Purple Purple Purple Purple Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Purple Purple Purple Purple Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Purple Purple Purple Purple Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Purple Purple Purple Purple Red Red Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Red Red Purple Purple Purple Purple Red Red Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Red Red Red Red Red Red Red Red Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Red Red Red Red Red Red Red Red Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple 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 Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Pink Pink Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Pink Pink Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Pink Pink Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Pink Pink Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink 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 Orange Black\nBlack Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Orange Purple Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Orange Black\nBlack Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black\nBlack Black Black Black Black Orange Purple Black\nBlack Black Black Black Black Orange Black Black\nBlack Orange Black Black Black Orange Black Black\nBlack Pink Black Black Black Orange Black Black\nBlack Black Black Black Black Orange Black Black\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Orange Purple Purple Black Black\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Gray Black Black Black Black Black Black\nPurple Black Blue Black Black Black Black Black Black Black Black\nRed Black Black 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 Purple\nBlack Black Black Black Purple Black Black Black Black Black Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Gray Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black\nRed Black Black 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 Purple\nBlack Black Black Black Purple Black Black Black Black Black Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack 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\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 Purple Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Pink 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 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 Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack 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 Orange Black Black Black Black\nBlack 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 Orange Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange 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 Gray Black Black Black Black Black Black Black Black Black Pink 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 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 Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Gray Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Purple Orange Black Black Black Black Black Brown Black\nBlack Black Black Pink Purple Black Black Gray Black Blue Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Yellow Orange\nBlack Black Black Black Brown Black Black Black Black Green Black Black\nBlack Black Purple Black Pink Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Purple Brown Purple Blue Blue Blue Blue Blue Red Blue\nBlue Blue Blue Orange Brown Blue Blue Pink Blue Green Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Blue Blue Gray Purple\nBlue Blue Blue Blue Red Blue Blue Blue Blue Yellow Blue Blue\nBlue Blue Brown Blue Orange Blue Brown Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Purple Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Yellow Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Blue Blue Blue Blue Blue Blue Blue Blue Green\nBlue Blue Blue Blue Blue Blue Blue Blue Pink Blue\nBlue Yellow Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Green Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Brown Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Brown Black Black Green\nBlack Black Black Black Pink Black Gray Yellow Black Orange Blue\nGreen Black Gray Brown Black Black Black Orange Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Gray Black Black Black Black\nBlue Black Black Pink Black Black Black Black Green Black Black\nBrown Black Black Yellow Black Black Purple Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Red Blue Blue Yellow\nBlue Blue Blue Blue Orange Blue Pink Gray Blue Purple Green\nYellow Blue Pink Red Blue Blue Blue Purple Blue Blue Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Blue Blue Blue Blue Pink Blue Blue Blue Blue\nGreen Blue Blue Orange Blue Blue Blue Blue Yellow Blue Blue\nRed Blue Blue Gray Blue Blue Brown Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nGray Orange Green Gray Black Black Purple Black Black\nGreen Black Black Blue Black Black Purple Black Brown\nOrange Yellow Orange Brown Black Blue Black Black Orange\nYellow Yellow Red Orange Green Black Black Brown Brown\nBlack Black Black Black Pink Gray Gray Orange Gray\nOrange Black Black Black Black Black Blue Green Blue\nBlack Purple Yellow Black Black Black Black Pink Black\nBlack Black Black Gray Black Green Pink Black Yellow\nBlack Pink Brown Green Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Purple Yellow Pink Blue Blue Brown Blue Blue\nYellow Blue Blue Green Blue Blue Brown Blue Red\nPurple Gray Purple Red Blue Green Blue Blue Purple\nGray Gray Black Purple Yellow Blue Blue Red Red\nBlue Blue Blue Blue Orange Pink Pink Purple Pink\nPurple Blue Blue Blue Blue Blue Green Yellow Green\nBlue Brown Gray Blue Blue Blue Blue Orange Blue\nBlue Blue Blue Pink Blue Yellow Orange Blue Gray\nBlue Orange Red Yellow 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 Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue 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 Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue 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 Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\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 Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Green Green Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack 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 Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\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 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 Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 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 Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Red Red 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 Orange Orange Black Black\nBlack Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Blue Blue 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 Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 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 Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red 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 Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Pink Brown Black Pink Brown Black Black Orange Black Black Orange\nBlue Black Yellow Red Black Green Purple Green Purple Black Black Black\nBlack Orange Yellow Black Orange Black Pink Black Black Purple Black Black\nBlack Black Black Pink Black Black Black Black Red Black Black Red\nBlack Black Black Purple Orange Black Orange Black Brown Black Black Black\nYellow Blue Black Black Purple Black Black Black Blue Black Orange Black\nPink Black Black Pink Black Black Purple Black Orange Yellow Red Pink\nYellow Black Red Black Black Purple Black Black Black Red Orange Black\n\nOutput:\nRed Pink Brown Black Pink Brown Black Black Orange Black Black Orange\nYellow Black Red Green Black Blue Purple Blue Purple Black Black Black\nBlack Orange Red Black Orange Black Pink Black Black Purple Black Black\nBlack Black Black Pink Black Black Black Black Green Black Black Green\nBlack Black Black Purple Orange Black Orange Black Brown Black Black Black\nRed Yellow Black Black Purple Black Black Black Yellow Black Orange Black\nPink Black Black Pink Black Black Purple Black Orange Red Green Pink\nRed Black Green Black Black Purple Black Black Black Green Orange Black\n\n\nExample 2\nInput:\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\nOutput:\nBlack Black Green Black Green Brown Black Black Brown Brown\nPurple Pink Orange Black Blue Black Black Orange Yellow Purple\nYellow Black Yellow Purple Black Gray Pink Black Black Black\nRed Black Black Black Black Brown Black Purple Green Gray\nBlack Black Green Brown Yellow Pink Pink Black Purple Yellow\nBlack Black Black Blue Pink Blue Black Black Black Black\nBlack Black Black Blue Black Purple Black Purple Black Black\n\n\nExample 3\nInput:\nBlack Red Black Blue Pink Gray Black Black Yellow Green Purple\nBlack Brown Gray Black Orange Gray Black Black Brown Brown Black\nBlack Black Black Blue Black Black Black Orange Brown Blue Yellow\nBlack Black Black Black Black Brown Black Blue Gray Black Black\nGray Brown Black Black Black Black Black Blue Purple Red Pink\nBlack Black Black Black Yellow Green Yellow Purple Blue Gray Brown\nYellow Gray Black Black Black Black Black Pink Black Pink Black\n\nOutput:\nBlack Green Black Yellow Pink Gray Black Black Red Blue Purple\nBlack Brown Gray Black Orange Gray Black Black Brown Brown Black\nBlack Black Black Yellow Black Black Black Orange Brown Yellow Red\nBlack Black Black Black Black Brown Black Yellow Gray Black Black\nGray Brown Black Black Black Black Black Yellow Purple Green Pink\nBlack Black Black Black Red Blue Red Purple Yellow Gray Brown\nRed Gray Black Black Black Black Black Pink Black Pink Black\n\n\nHere is the input grid for the test example:\nInput:\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\n\nDirectly provide the output grids corresponding to the given test input 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 Yellow Black Gray Black Black\nOrange Black Purple Red Black Pink Black Yellow Black\nBlack Brown Purple Black Purple Black Green Blue Black\nBlack Purple Black Green Brown Black Black Yellow Black\nRed Black Purple Red Yellow Orange Black Black Black\nBlack Green Black Black Orange Brown Red Orange Black\nRed Gray Gray Black Black Brown Black Pink Black\nBlack Pink Black Black Black Pink Purple Yellow Gray\nPurple Brown Black Gray Pink Blue Black Gray Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black 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 Black Black\nBlack Black 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 Black Black\nBlack Black Black Black Gray Blue Black Purple Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Gray Blue Black Purple Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Gray Blue Black Purple Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Gray Blue Black Purple Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Gray Blue Black Purple Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Gray Blue Black Purple Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Gray Blue Black Purple Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Gray Blue Black Purple Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Gray Blue Black Purple Black Black Brown Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Purple Black Black Orange Black Gray Black Red Pink Black Black Black Black Black\nBlack Purple Black Black Orange Black Gray Black Red Pink Black Black Black Black Black\nBlack Purple Black Black Orange Black Gray Black Red Pink Black Black Black Black Black\nBlack Purple Black Black Orange Black Gray Black Red Pink Black Black Black Black Black\nBlack Purple Black Black Orange Black Gray Black Red Pink Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Purple Black Black Orange Black Gray Black Red Pink Black Black Black Black Black\nBlack Purple Black Black Orange Black Gray Black Red Pink Black Black Black Black Black\nBlack Purple Black Black Orange Black Gray Black Red Pink Black Black Black Black Black\nBlack Purple Black Black Orange Black Gray Black Red Pink Black Black Black Black Black\nBlack Purple Black Black Orange Black Gray Black Red Pink Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Red Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Gray Red Black Black Purple Black Black Black Black Black Black\nBlack Black 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 Black Black\nBlack Black 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 Black Black\nBlack Black 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 Black Black\nBlack Black 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 Black Black\nBlack Black 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 Black Black\nBlack Black 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 Black Black\nBlack Black Black Black Black Gray Red Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Gray Red Black Black Purple Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Black Black Black Gray Black Black Black Pink Black Black Orange Black Black Black Black Black Black\nBlack Green Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Green Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Green Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Green Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Green Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Green Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Green Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Green Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Green Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Green Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Green Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Green Black Black Black Gray Black Black Black Pink Black Black Orange Black Black Black Black Black Black\nBlack Green Black Black Black Gray Black Black Black Pink Black Black Orange Black Black Black Black Black Black\nBlack Green Black Black Black Gray Black Black Black Pink Black Black Orange Black Black Black Black Black Black\nBlack Green Black Black Black Gray Black Black Black Pink Black Black Orange Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Yellow Yellow Yellow\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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 Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Red Red Red Red Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Orange Orange Orange Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange Black\nBlack Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Brown Brown 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 Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\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 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\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Pink Pink Pink Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black 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 Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
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