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"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black 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 Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Green Green Green 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 Black Black Black Black Black Black\nBlack Black Black Green Green Green 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green 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\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nRed Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nRed Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nRed Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Green Green Green Green Green Green\nRed Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Green Green Green Green Green Green\nRed Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Green Green Green Green Green Green\nRed Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Green Green Green Green Green Green\nRed Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Green Green Green Green Green Green\nRed Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black 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 Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black 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 Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Red Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Orange Orange Orange Black Black\nBlack Black Red Black Black Black Red Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nYellow 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 Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Red Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Orange Orange Orange Black Black\nBlack Black Yellow Black Black Black Red Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nYellow 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 Red Black Black Black Black\nBlack Black Black Black Black Black Brown 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 Red Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen 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 Green Black Black Black Black\nBlack Black Black Black Black Black Brown 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 Red Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen 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 Purple Black Purple Black Black Black Black\nBlack Black Black Black Red Black Black Red Brown Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Black Green Black Green Red Green Black Black\nBlack Black Red Black Black Black Black Green Black Black\nBlack Black Black Green Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Purple Black Black Black Black\nBlack Black Black Black Orange Black Black Red Brown Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Black Green Black Green Red Green Black Black\nBlack Black Orange Black Black Black Black Green Black Black\nBlack Black Black Green Black Black Black Black Black Black\nOrange 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 Yellow Black Yellow Black Yellow Yellow Black Black Black\nBlack Yellow Red Yellow Black Yellow Red Yellow Black Black\nBlack Yellow Yellow Yellow Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Orange Red Black Black Black Black\nBlack Black Red Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown 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 Yellow Black Yellow Black Yellow Yellow Black Black Black\nBlack Yellow Red Yellow Black Yellow Red Yellow Black Black\nBlack Yellow Yellow Yellow Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Orange Red Black Black Black Black\nBlack Black Brown Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown 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 Red Black Black Green Blue Black Black Green Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Blue Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Blue Black Black Green Red Black Blue Black Black Black\nGreen Black Black Black Black Black Black Red Black Black Black Black\n\nOutput:\nBlack Black Red Black Black Blue Red Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Blue Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Green Red Black Black Blue Green Black\nBlack Black Black Black Green Black Black Black Black Black Black Red\n\n\nExample 2\nInput:\nBlack Black Red Black Blue Red Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Black\nBlack Green Black Black Red Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Red Black\nBlack Green Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Green Blue Black Green Black Black\nBlack Black Black Black Black Black Green Black Green Black\nBlack Black Black Black Black Green Black Black Red Black\nBlack Green Black Black Black Black Black Red 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 Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Green Red Black Black Black Black Black Green\nBlack Green Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Green Black Black\nRed Black Black Black Green Black Blue Black Black Black Black\nGreen Black Black Black Black Green Black Black Red Black Black\nBlack Red Green Blue Green Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Black Black Black Black Black Green Red Black Black Black\nBlack Black Black Blue Black Black Black Black Black Red Black\nBlack Black Red Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Red Black Black Black Green\nBlack Black Green Black Black Red Black Black Black Black Red\nBlack Green Black Black Black Black Red Blue Red Green Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Red Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green\nRed Black Black Red Black Black Black Black Black\nBlue Black Black Green Blue Black Black Black Black\nBlack Black Green Green Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Blue Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Green\nBlack Black Black Black Blue Red Black Black Blue\nBlack Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Red Blue Blue Yellow Yellow Yellow Yellow Red Red Blue Blue\nRed Red Red Red Blue Blue Yellow Yellow Yellow Yellow Red Red Blue Blue\nPurple Purple Red Red Blue Blue Green Green Red Red Yellow Yellow Green Green\nPurple Purple Red Red Blue Blue Green Green Red Red Yellow Yellow Green Green\nBlue Blue Purple Purple Blue Blue Purple Purple Red Red Purple Purple Blue Blue\nBlue Blue Purple Purple Blue Blue Purple Purple Red Red Purple Purple Blue Blue\nYellow Yellow Red Red Blue Blue Purple Purple Yellow Yellow Purple Purple Green Green\nYellow Yellow Red Red Blue Blue Purple Purple Yellow Yellow Purple Purple Green Green\nRed Red Yellow Yellow Purple Purple Red Red Green Green Red Red Yellow Yellow\nRed Red Yellow Yellow Purple Purple Red Red Green Green Red Red Yellow Yellow\nYellow Yellow Blue Blue Green Green Yellow Yellow Yellow Yellow Red Red Purple Purple\nYellow Yellow Blue Blue Green Green Yellow Yellow Yellow Yellow Red Red Purple Purple\nYellow Yellow Red Red Red Red Purple Purple Green Green Purple Purple Blue Blue\nYellow Yellow Red Red Red Red Purple Purple Green Green Purple Purple Blue Blue\nGreen Green Red Red Purple Purple Yellow Yellow Blue Blue Blue Blue Green Green\nGreen Green Red Red Purple Purple Yellow Yellow Blue Blue Blue Blue Green Green\nPurple Purple Yellow Yellow Purple Purple Blue Blue Green Green Green Green Green Green\nPurple Purple Yellow Yellow Purple Purple Blue Blue Green Green Green Green Green Green\nGreen Green Green Green Yellow Yellow Blue Blue Purple Purple Green Green Blue Blue\nGreen Green Green Green Yellow Yellow Blue Blue Purple Purple Green Green Blue Blue\n\nOutput:\nRed Red Yellow Yellow Green Green Yellow Yellow Purple Purple Yellow Yellow Green Green\nRed Red Yellow Yellow Green Green Yellow Yellow Purple Purple Yellow Yellow Green Green\nPurple Purple Yellow Yellow Green Green Green Green Red Red Purple Purple Green Green\nPurple Purple Yellow Yellow Green Green Green Green Red Red Purple Purple Green Green\nBlue Blue Purple Purple Blue Blue Purple Purple Red Red Purple Purple Blue Blue\nBlue Blue Purple Purple Blue Blue Purple Purple Red Red Purple Purple Blue Blue\nYellow Yellow Yellow Yellow Green Green Purple Purple Purple Purple Purple Purple Green Green\nYellow Yellow Yellow Yellow Green Green Purple Purple Purple Purple Purple Purple Green Green\nRed Red Yellow Yellow Purple Purple Red Red Green Green Red Red Purple Purple\nRed Red Yellow Yellow Purple Purple Red Red Green Green Red Red Purple Purple\nYellow Yellow Green Green Green Green Purple Purple Purple Purple Red Red Purple Purple\nYellow Yellow Green Green Green Green Purple Purple Purple Purple Red Red Purple Purple\nPurple Purple Yellow Yellow Red Red Purple Purple Green Green Purple Purple Blue Blue\nPurple Purple Yellow Yellow Red Red Purple Purple Green Green Purple Purple Blue Blue\nGreen Green Red Red Purple Purple Yellow Yellow Blue Blue Blue Blue Green Green\nGreen Green Red Red Purple Purple Yellow Yellow Blue Blue Blue Blue Green Green\nPurple Purple Purple Purple Purple Purple Blue Blue Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Blue Blue Green Green Green Green Green Green\nGreen Green Green Green Yellow Yellow Blue Blue Purple Purple Green Green Blue Blue\nGreen Green Green Green Yellow Yellow Blue Blue Purple Purple Green Green Blue Blue\n\n\nExample 2\nInput:\nRed Red Purple Purple Red Red Yellow Yellow Green Green Green Green Blue Blue\nRed Red Purple Purple Red Red Yellow Yellow Green Green Green Green Blue Blue\nRed Red Purple Purple Purple Purple Purple Purple Red Red Yellow Yellow Green Green\nRed Red Purple Purple Purple Purple Purple Purple Red Red Yellow Yellow Green Green\nBlue Blue Purple Purple Red Red Yellow Yellow Yellow Yellow Red Red Blue Blue\nBlue Blue Purple Purple Red Red Yellow Yellow Yellow Yellow Red Red Blue Blue\nGreen Green Blue Blue Blue Blue Green Green Green Green Yellow Yellow Blue Blue\nGreen Green Blue Blue Blue Blue Green Green Green Green Yellow Yellow Blue Blue\nBlue Blue Purple Purple Yellow Yellow Yellow Yellow Green Green Purple Purple Red Red\nBlue Blue Purple Purple Yellow Yellow Yellow Yellow Green Green Purple Purple Red Red\n\nOutput:\nRed Red Purple Purple Red Red Purple Purple Green Green Green Green Blue Blue\nRed Red Purple Purple Red Red Purple Purple Green Green Green Green Blue Blue\nYellow Yellow Purple Purple Purple Purple Purple Purple Red Red Purple Purple Green Green\nYellow Yellow Purple Purple Purple Purple Purple Purple Red Red Purple Purple Green Green\nGreen Green Purple Purple Yellow Yellow Purple Purple Purple Purple Yellow Yellow Green Green\nGreen Green Purple Purple Yellow Yellow Purple Purple Purple Purple Yellow Yellow Green Green\nGreen Green Blue Blue Green Green Green Green Green Green Yellow Yellow Green Green\nGreen Green Blue Blue Green Green Green Green Green Green Yellow Yellow Green Green\nBlue Blue Purple Purple Yellow Yellow Purple Purple Green Green Purple Purple Yellow Yellow\nBlue Blue Purple Purple Yellow Yellow Purple Purple Green Green Purple Purple Yellow Yellow\n\n\nExample 3\nInput:\nBlue Blue Green Green Green Green Yellow Yellow Red Red Blue Blue Green Green\nBlue Blue Green Green Green Green Yellow Yellow Red Red Blue Blue Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Purple Purple\nPurple Purple Red Red Purple Purple Blue Blue Red Red Blue Blue Purple Purple\nPurple Purple Red Red Purple Purple Blue Blue Red Red Blue Blue Purple Purple\nGreen Green Purple Purple Purple Purple Yellow Yellow Red Red Blue Blue Green Green\nGreen Green Purple Purple Purple Purple Yellow Yellow Red Red Blue Blue Green Green\nBlue Blue Purple Purple Green Green Red Red Blue Blue Green Green Red Red\nBlue Blue Purple Purple Green Green Red Red Blue Blue Green Green Red Red\n\nOutput:\nBlue Blue Green Green Green Green Purple Purple Yellow Yellow Green Green Green Green\nBlue Blue Green Green Green Green Purple Purple Yellow Yellow Green Green Green Green\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Red Red Yellow Yellow Purple Purple\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Red Red Yellow Yellow Purple Purple\nPurple Purple Red Red Purple Purple Green Green Yellow Yellow Green Green Purple Purple\nPurple Purple Red Red Purple Purple Green Green Yellow Yellow Green Green Purple Purple\nGreen Green Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Green Green Green\nGreen Green Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Green Green Green\nBlue Blue Purple Purple Green Green Yellow Yellow Green Green Green Green Red Red\nBlue Blue Purple Purple Green Green Yellow Yellow Green Green Green Green Red Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Green Green Blue Blue Purple Purple Yellow Yellow Blue Blue Green Green Yellow Yellow\nRed Red Green Green Blue Blue Purple Purple Yellow Yellow Blue Blue Green Green Yellow Yellow\nPurple Purple Yellow Yellow Green Green Red Red Red Red Yellow Yellow Green Green Red Red\nPurple Purple Yellow Yellow Green Green Red Red Red Red Yellow Yellow Green Green Red Red\nYellow Yellow Green Green Red Red Red Red Purple Purple Blue Blue Red Red Blue Blue\nYellow Yellow Green Green Red Red Red Red Purple Purple Blue Blue Red Red Blue Blue\nGreen Green Blue Blue Blue Blue Yellow Yellow Red Red Purple Purple Red Red Blue Blue\nGreen Green Blue Blue Blue Blue Yellow Yellow Red Red Purple Purple Red Red Blue Blue\nBlue Blue Blue Blue Blue Blue Green Green Blue Blue Green Green Yellow Yellow Green Green\nBlue Blue Blue Blue Blue Blue Green Green Blue Blue Green Green Yellow Yellow Green Green\nPurple Purple Blue Blue Green Green Purple Purple Green Green Green Green Purple Purple Blue Blue\nPurple Purple Blue Blue Green Green Purple Purple Green Green Green Green Purple Purple Blue Blue\nYellow Yellow Green Green Purple Purple Red Red Purple Purple Green Green Yellow Yellow Blue Blue\nYellow Yellow Green Green Purple Purple Red Red Purple Purple Green Green Yellow Yellow Blue Blue\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Red Red Green Green Yellow Yellow\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Red Red Green Green Yellow Yellow\nYellow Yellow Red Red Purple Purple Red Red Green Green Yellow Yellow Purple Purple Red Red\nYellow Yellow Red Red Purple Purple Red Red Green Green Yellow Yellow Purple Purple Red Red\nBlue Blue Red Red Red Red Blue Blue Purple Purple Purple Purple Purple Purple Yellow Yellow\nBlue Blue Red Red Red Red Blue Blue Purple Purple Purple Purple Purple Purple Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Green Green Blue Blue Purple Purple Yellow Yellow Blue Blue Green Green Purple Purple\nRed Red Green Green Blue Blue Purple Purple Yellow Yellow Blue Blue Green Green Purple Purple\nPurple Purple Purple Purple Green Green Red Red Red Red Yellow Yellow Green Green Yellow Yellow\nPurple Purple Purple Purple Green Green Red Red Red Red Yellow Yellow Green Green Yellow Yellow\nPurple Purple Green Green Yellow Yellow Red Red Purple Purple Green Green Yellow Yellow Green Green\nPurple Purple Green Green Yellow Yellow Red Red Purple Purple Green Green Yellow Yellow Green Green\nGreen Green Blue Blue Green Green Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Green Green\nGreen Green Blue Blue Green Green Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Green Green\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green Purple Purple Green Green\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green Purple Purple Green Green\nPurple Purple Blue Blue Green Green Purple Purple Green Green Green Green Purple Purple Blue Blue\nPurple Purple Blue Blue Green Green Purple Purple Green Green Green Green Purple Purple Blue Blue\nPurple Purple Green Green Purple Purple Red Red Purple Purple Green Green Yellow Yellow Blue Blue\nPurple Purple Green Green Purple Purple Red Red Purple Purple Green Green Yellow Yellow Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Green Green Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Green Green Yellow Yellow\nYellow Yellow Red Red Purple Purple Yellow Yellow Green Green Purple Purple Purple Purple Red Red\nYellow Yellow Red Red Purple Purple Yellow Yellow Green Green Purple Purple Purple Purple Red Red\nGreen Green Yellow Yellow Yellow Yellow Green Green Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Yellow Yellow Yellow Yellow Green Green Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple 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 Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Purple Yellow Orange Black Black\nBlack Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow 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\nPurple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black Black\nYellow Black Black Black Yellow Black Green Black Black\nBlack Black Black Black Black Yellow Black Black Black\nPurple Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black 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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Purple Orange Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\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 Yellow 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 Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black\nBlack Black Green Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Orange Black Black Black Black Black Yellow\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Pink Pink Brown Brown Purple Pink Orange Purple Orange\nPurple Yellow Blue Yellow Green Orange Brown Yellow Purple Gray\nBrown Orange Pink Yellow Green Green Orange Purple Yellow Brown\nYellow Yellow Brown Yellow Purple Blue Purple Blue Blue Purple\nPink Pink Blue Purple Purple Orange Blue Yellow Orange Orange\nOrange Gray Pink Yellow Purple Pink Purple Green Green Green\nOrange Gray Orange Brown Yellow Brown Pink Green Green Green\nBrown Pink Gray Purple Purple Purple Orange Green Green Green\nPink Green Brown Brown Blue Gray Orange Gray Yellow Purple\nBlue Yellow Purple Gray Orange Pink Green Purple Purple Orange\n\nOutput:\nYellow Pink Pink Brown Brown Purple Pink Orange Purple Orange\nPurple Yellow Blue Yellow Green Orange Brown Yellow Purple Gray\nBrown Orange Pink Yellow Green Green Orange Purple Yellow Brown\nYellow Yellow Brown Yellow Purple Blue Purple Blue Blue Purple\nPink Pink Blue Purple Purple Orange Blue Yellow Orange Orange\nOrange Gray Pink Yellow Purple Pink Purple Red Red Red\nOrange Gray Orange Brown Yellow Brown Pink Red Red Red\nBrown Pink Gray Purple Purple Purple Orange Red Red Red\nPink Green Brown Brown Blue Gray Orange Gray Yellow Purple\nBlue Yellow Purple Gray Orange Pink Green Purple Purple Orange\n\n\nExample 2\nInput:\nPurple Green Brown Brown Yellow Purple Blue Brown Orange Yellow\nGreen Pink Green Orange Gray Blue Gray Blue Blue Orange\nOrange Gray Brown Purple Purple Orange Brown Brown Pink Purple\nPurple Brown Brown Gray Orange Yellow Gray Pink Green Yellow\nPurple Green Pink Blue Gray Yellow Brown Blue Pink Gray\nPink Orange Orange Yellow Pink Yellow Brown Pink Purple Blue\nPurple Yellow Orange Pink Pink Pink Blue Blue Green Gray\nGray Gray Gray Pink Pink Pink Orange Yellow Blue Yellow\nGreen Orange Purple Pink Pink Pink Purple Purple Orange Green\nBlue Purple Pink Blue Brown Yellow Blue Pink Green Yellow\n\nOutput:\nPurple Green Brown Brown Yellow Purple Blue Brown Orange Yellow\nGreen Pink Green Orange Gray Blue Gray Blue Blue Orange\nOrange Gray Brown Purple Purple Orange Brown Brown Pink Purple\nPurple Brown Brown Gray Orange Yellow Gray Pink Green Yellow\nPurple Green Pink Blue Gray Yellow Brown Blue Pink Gray\nPink Orange Orange Yellow Pink Yellow Brown Pink Purple Blue\nPurple Yellow Orange Red Red Red Blue Blue Green Gray\nGray Gray Gray Red Red Red Orange Yellow Blue Yellow\nGreen Orange Purple Red Red Red Purple Purple Orange Green\nBlue Purple Pink Blue Brown Yellow Blue Pink Green Yellow\n\n\nExample 3\nInput:\nBrown Blue Orange Brown Green Gray Gray Gray Orange Yellow\nGreen Pink Blue Pink Purple Gray Gray Gray Green Purple\nBlue Brown Pink Green Orange Gray Gray Gray Pink Pink\nYellow Green Orange Blue Purple Green Brown Green Yellow Blue\nYellow Pink Yellow Pink Pink Gray Blue Blue Blue Gray\nPink Purple Pink Gray Brown Orange Blue Orange Purple Gray\nPink Brown Green Blue Orange Brown Brown Brown Brown Brown\nBlue Brown Purple Orange Gray Orange Orange Gray Orange Yellow\nYellow Orange Blue Yellow Orange Gray Blue Purple Brown Orange\nOrange Purple Gray Brown Purple Green Yellow Yellow Purple Green\n\nOutput:\nBrown Blue Orange Brown Green Red Red Red Orange Yellow\nGreen Pink Blue Pink Purple Red Red Red Green Purple\nBlue Brown Pink Green Orange Red Red Red Pink Pink\nYellow Green Orange Blue Purple Green Brown Green Yellow Blue\nYellow Pink Yellow Pink Pink Gray Blue Blue Blue Gray\nPink Purple Pink Gray Brown Orange Blue Orange Purple Gray\nPink Brown Green Blue Orange Brown Brown Brown Brown Brown\nBlue Brown Purple Orange Gray Orange Orange Gray Orange Yellow\nYellow Orange Blue Yellow Orange Gray Blue Purple Brown Orange\nOrange Purple Gray Brown Purple Green Yellow Yellow Purple Green\n\n\nHere is the input grid for the test example:\nInput:\nOrange Green Yellow Brown Green Orange Orange Pink Blue Pink\nOrange Gray Blue Pink Pink Pink Brown Orange Pink Pink\nGray Green Brown Pink Pink Pink Brown Blue Gray Orange\nBlue Green Yellow Pink Pink Pink Blue Gray Yellow Orange\nOrange Brown Purple Purple Brown Pink Yellow Blue Blue Pink\nPink Brown Brown Green Brown Blue Gray Brown Blue Green\nGray Blue Brown Orange Purple Green Brown Orange Orange Pink\nBlue Brown Gray Pink Blue Pink Blue Purple Pink Yellow\nPink Purple Blue Yellow Purple Orange Purple Orange Brown Orange\nGray Blue Yellow Pink Gray Orange Purple Orange Orange Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Green Yellow Brown Green Orange Orange Pink Blue Pink\nOrange Gray Blue Red Red Red Brown Orange Pink Pink\nGray Green Brown Red Red Red Brown Blue Gray Orange\nBlue Green Yellow Red Red Red Blue Gray Yellow Orange\nOrange Brown Purple Purple Brown Pink Yellow Blue Blue Pink\nPink Brown Brown Green Brown Blue Gray Brown Blue Green\nGray Blue Brown Orange Purple Green Brown Orange Orange Pink\nBlue Brown Gray Pink Blue Pink Blue Purple Pink Yellow\nPink Purple Blue Yellow Purple Orange Purple Orange Brown Orange\nGray Blue Yellow Pink Gray Orange Purple Orange Orange Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Red 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 Black Black Red Black Black Black Black\nBlack Black Black Black Black Red Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Black Orange Black Black Orange Black Black Black Black\nBlack 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\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 Red Red Red Black Black Black\nRed Red Red Red Red Black Red Black Red Black Black Black\nRed Black Black Black Red Black Red Red Red Black Black Black\nRed Black Black Black Red Black Black Black Black Black Black Black\nRed Black Black Black Red Black Black Black Black Black Black Black\nRed Red Red Red Red 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 Red Red Black Black\nRed Red Red Red Black Black Red Red Red Red Black Black\nRed Red Red Red Black Black Red Red Red Red 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\n\nOutput:\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Black Orange Black Orange Black Black Black\nOrange Black Black Black Orange Black Orange Orange Orange Black Black Black\nOrange Black Black Black Orange Black Black Black Black Black Black Black\nOrange Black Black Black Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange 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 Red Red Black Black\nRed Red Red Red Black Black Red Red Red Red Black Black\nRed Red Red Red Black Black Red Red Red Red 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\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 Red Red Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Black Red Black\nBlack Black Black Black Black Black Black Black Red Red Red 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 Red Red Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Orange Black Orange Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Red Red Red Black Black Red Red Red Red Black Black Black\nBlack Red Red Red Red Black Black Red Red Red Red Black Black Black\nBlack Red Red Red Red Black Black Red Red Red Red Black Black Black\nBlack Red Red Red Red Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Red Red Red Black Black Black Black Black Black\nRed Red Red Black Black Red Red Red Black Black Red Red Red Red\nRed Red Red Black Black Red Red Red Black Black Red Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Red\nBlack Black Black Black Red Red Red Black Black Black Red Red Red Red\nRed Red Red Black Red Red Red Black Black Black Black Black Black Black\nRed Black Red Black Red Red Red Black Black Black Red Red Red Black\nRed Red Red Black Black Black Black Black Black Black Red Black Red Black\nBlack Black Black Black Black Black Black Black Black Black 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```\nBlack Red Red Red Red Black Black Red Red Red Red Black Black Black\nBlack Red Red Red Red Black Black Red Red Red Red Black Black Black\nBlack Red Red Red Red Black Black Red Red Red Red Black Black Black\nBlack Red Red Red Red Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Red Red Red Black Black Black Black Black Black\nRed Red Red Black Black Red Red Red Black Black Orange Orange Orange Orange\nRed Red Red Black Black Red Red Red Black Black Orange Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Orange\nBlack Black Black Black Red Red Red Black Black Black Orange Orange Orange Orange\nOrange Orange Orange Black Red Red Red Black Black Black Black Black Black Black\nOrange Black Orange Black Red Red Red Black Black Black Orange Orange Orange Black\nOrange Orange Orange Black Black Black Black Black Black Black Orange Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Pink Blue Black Black Black Black Black Black\nPurple Orange Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Black Black Black Yellow Yellow Black\nBlack Black Blue Yellow Black Black Yellow Black Black\nBlack Black Blue Yellow Yellow Yellow Yellow Black Black\nBlack Black Blue Black Black Yellow Yellow Yellow Yellow\nBlack Black Blue Black Black Yellow Black Black Yellow\nBlack Black Blue Black Yellow Yellow Black Black Black\n\nOutput:\nBlack Black Black Pink Pink Black\nGreen Black Black Pink Black Black\nGreen Green Green Pink Black Black\nBlack Black Purple Orange Orange Orange\nBlack Black Purple Black Black Orange\nBlack Purple Purple Black Black Black\n\n\nExample 2\nInput:\nBlack Black Blue Yellow Yellow Black Black Black Black\nBlack Black Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Blue Black Black Yellow Yellow Yellow Yellow\nBlack Black Blue Black Black Yellow Yellow Yellow Yellow\nBlack Black Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Blue Yellow Yellow Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Pink Blue Black Black Black Black Black Black\nBrown Green Blue Black Black Black Black Black Black\n\nOutput:\nGray Gray Black Black Black Black\nGray Gray Gray Pink Pink Pink\nBlack Black Gray Pink Pink Pink\nBlack Black Brown Green Green Green\nBrown Brown Brown Green Green Green\nBrown Brown Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Blue Black Yellow Yellow Yellow Black Black\nBlack Black Blue Yellow Yellow Black Yellow Yellow Black\nBlack Black Blue Black Black Black Yellow Yellow Yellow\nBlack Black Blue Black Black Black Black Black Yellow\nBlack Black Blue Black Black Black Black Yellow Yellow\nBlack Black Blue Black Black Black Black Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Orange Blue Black Black Black Black Black Black\nPink Red Blue Black Black Black Black Black Black\n\nOutput:\nBlack Purple Purple Orange Black Black\nPurple Purple Black Orange Orange Black\nBlack Black Black Orange Orange Orange\nBlack Black Black Black Black Red\nBlack Black Black Black Red Red\nBlack Black Black Black Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Blue Purple Pink\nBlack Black Black Black Black Black Blue Orange Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Black Black Black Black Yellow Blue Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Blue Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Blue Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Blue Black Black\nBlack Yellow Yellow Yellow Yellow Black Blue Black Black\nBlack Yellow Yellow Yellow Yellow Black Blue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Black Black Black Black Pink\nPurple Purple Purple Pink Pink Pink\nPurple Purple Purple Pink Pink Pink\nOrange Orange Orange Gray Gray Gray\nBlack Orange Orange Gray Gray Black\nBlack Orange Orange Gray Gray Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Pink Orange Blue Red\nBlack Black Blue Orange Brown Red\nPurple Red Blue Black Black Red\nPurple Blue Blue Black Black Black\nBlack Black Blue Purple Black Black\nBlack Black Black Purple Black Black\nBlack Black Black Purple Black Black\nBlack Black Black Yellow Black Black\n\nOutput:\nRed Red Red Black Black Black Black Black\nRed Pink Black Black Black Black Black Black\nOrange Orange Black Black Pink Pink Pink Green\nPink Red Red Red Red Black Black Black\nBlack Black Red Red Black Black Black Black\nBlack Black Pink Pink Black Black Black Black\n\n\nExample 2\nInput:\nPink Pink Blue Brown Purple Purple Brown Brown\nPink Black Gray Green Green Green Green Black\nBlack Black Black Red Gray Green Green Black\nPink Black Gray Green Green Green Green Black\nPink Pink Blue Brown Purple Purple Brown Brown\n\nOutput:\nPink Black Black Black Pink\nPink Green Green Green Pink\nPink Green Green Green Pink\nPink Green Orange Green Pink\nPink Green Red Green Pink\nRed Orange Black Orange Red\nPink Black Black Black Pink\nPink Pink Black Pink Pink\n\n\nExample 3\nInput:\nGray Gray Yellow Gray Black Gray Yellow Gray Gray\nGray Green Green Gray Red Gray Green Green Gray\nBlue Gray Green Blue Green Blue Green Gray Blue\nBlue Orange Red Brown Brown Brown Red Orange Blue\nOrange Orange Purple Pink Brown Pink Purple Orange Orange\n\nOutput:\nOrange Orange Red Red Orange\nOrange Green Orange Orange Orange\nGreen Green Green Red Pink\nOrange Orange Red Pink Pink\nBlack Red Green Pink Pink\nOrange Orange Red Pink Pink\nGreen Green Green Red Pink\nOrange Green Orange Orange Orange\nOrange Orange Red Red Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Gray Pink Brown Red\nRed Brown Blue Blue Green Blue Purple\nRed Brown Pink Pink Gray Purple Purple\nOrange Pink Red Pink Black Purple Black\nRed Brown Pink Pink Gray Purple Purple\nRed Brown Blue Blue Green Blue Purple\nBlack Black Blue Gray Pink Brown Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Pink Pink Black Pink Pink Red\nPink Red Pink Pink Pink Red Pink\nPink Green Orange Black Orange Green Pink\nOrange Red Pink Pink Pink Red Orange\nRed Red Pink Red Pink Red Red\nBlack Pink Pink Pink Pink Pink Black\nBlack Red Red Orange 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 Black Orange Black\nOrange Blue Blue Blue Orange Orange Black\nBlack Blue Blue Blue Black Black Black\nOrange Blue Blue Blue Orange Black Black\nBlack Black Black Orange Orange Orange Black\nOrange Black Black Blue Blue Blue Orange\nOrange Black Black Blue Blue Blue Orange\nBlack Black Orange Blue Blue Blue Black\n\nOutput:\nBlue\n\n\nExample 2\nInput:\nBlack Black Black Black Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange\nBlack Black Black Black Blue Blue Blue\nBlack Orange Black Black Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue\nBlue Blue Blue Orange Orange Black Black\nBlue Blue Blue Black Black Black Black\n\nOutput:\nBlue\n\n\nExample 3\nInput:\nOrange Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black\nOrange Black Black Orange Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Blue Blue Blue\nOrange Black Black Blue Blue Blue Orange Blue Blue Blue\nBlack Black Black Blue Blue Blue Orange Orange Black Black\nOrange Black Black Orange Orange Orange Black Orange Orange Orange\nBlack Orange Orange Black Black Black Orange Black Orange Orange\n\nOutput:\nBlue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Orange Orange Orange Black Orange Black Black\nOrange Black Orange Orange Black Orange Black Black\nBlack Black Black Orange Orange Blue Blue Blue\nBlack Orange Black Orange Black Blue Blue Blue\nOrange Black Black Orange Black Blue Blue Blue\nBlack Black Black Orange Orange Black Black Black\nBlack Black Orange Orange Blue Blue Blue Black\nBlack Orange Black Black Blue Blue Blue Black\nOrange Orange Black Orange Blue Blue Blue Orange\nBlack Black Orange Black Black Black Orange Black\nBlack Black Black Black Black Black Black Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Pink Pink Pink Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Pink Pink Pink Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Pink Pink Pink Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Red Red Red Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Red Red Red Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Red Red Red Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Brown Brown Brown Gray Gray Gray Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Brown Brown Brown Gray Gray Gray Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Brown Brown Brown Gray Gray Gray Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Pink Pink Pink 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 Pink Pink Pink Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black 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 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 Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Purple Purple Purple Gray Gray Gray Gray Gray Gray Green Green Green\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Purple Purple Purple Gray Gray Gray Gray Gray Gray Green Green Green\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Purple Purple Purple Gray Gray Gray Gray Gray Gray Green Green Green\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Red Red Red Black Black Black Red Red Red Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Red Red Red Black Black Black Red Red Red Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Red Red Red Black Black Black Red Red Red Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red 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 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 Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nPurple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Brown Brown Brown Pink Pink Pink Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nRed Red Red Brown Brown Brown Pink Pink Pink Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nRed Red Red Brown Brown Brown Pink Pink Pink Gray Gray Gray Blue Blue Blue 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 Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Green Green Black Green Green Black\nBlack Black Green Green Black Green Green 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 Yellow Yellow Black Yellow Yellow Black\nBlack Black Yellow Yellow Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Green Green Black Black Green Green\nBlack Green Green Black Black Green Green\nBlack Black Black Black Green Green Black\nBlack Black Black Black Green Green Black\nBlack Black Black Black Green Green Black\nBlack Black Black Black Green Green Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Yellow Black Black Green Green\nBlack Yellow Yellow Black Black Green Green\nBlack Black Black Black Green Green Black\nBlack Black Black Black Green Green Black\nBlack Black Black Black Green Green Black\nBlack Black Black Black Green Green Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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\nGreen Green Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black 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\nYellow Yellow Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Orange Orange Orange Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Green Green Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Yellow Yellow Yellow Yellow Black Green Green Green\nBlack Black Yellow Yellow Yellow Yellow Black Green Green Green\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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\nYellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow 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\nPink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Black Green Green Green Green Green Black\nBlack Yellow Yellow Black Green Green Green Green Green Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Pink Pink Pink Black Black Black\nBlack Yellow Yellow Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink 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 Pink Pink Pink Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black 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 Red Red Red Red\nBlack Black Black Yellow Yellow Yellow Red Red Red Red\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 Red Red Red\nBlue Blue Blue Yellow Yellow Yellow Black Red Red Red\nBlue Blue Blue Black Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Brown Brown Brown\nBlack Black Pink Pink Pink Black Black Brown Brown Brown\nBlack Black Pink Pink Pink Black Black Brown Brown Brown\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 Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Blue Blue Blue Black Black Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Orange Orange Black Yellow Yellow Yellow Black Black Black\nBlack Orange Orange Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\n\nOutput:\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Orange Orange Black Yellow Yellow Yellow Black Black Black\nBlack Orange Orange Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Gray Gray Gray Black Black\nBlack Yellow Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Black Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Black Green Green Black Black\nBlack Red Red Red Red Black Green Green Black Black\nBlack Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Gray Gray Gray Black Black\nBlack Blue Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Black Green Green Black Black\nBlack Red Red Red Red Black Green Green Black Black\nBlack Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Purple Red Red Blue Blue Brown Brown Brown Purple Black\nBlack Gray Red Blue Yellow Red Red Red Purple Purple Black\nBlack Pink Brown Brown Pink Green Green Brown Brown Orange Black\nBlack Yellow Orange Green Brown Orange Orange Orange Yellow Yellow Black\nBlack Yellow Green Green Brown Brown Red Yellow Yellow Red Black\nBlack Gray Gray Gray Brown Brown Red Yellow Gray Green Black\nBlack Red Gray Red Green Green Blue Brown Gray Yellow Black\nBlack Yellow Purple Purple Blue Gray Blue Blue Brown Yellow Black\nBlack Orange Purple Purple Purple Pink Gray Blue Pink Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Orange Yellow Red Green Yellow Yellow Yellow Black\nBlack Brown Purple Brown Yellow Yellow Gray Gray Brown Pink Black\nBlack Brown Red Brown Orange Yellow Yellow Brown Blue Blue Black\nBlack Brown Red Green Orange Red Red Blue Blue Gray Black\nBlack Blue Red Green Orange Brown Brown Green Gray Pink Black\nBlack Blue Yellow Pink Brown Brown Brown Green Blue Purple Black\nBlack Red Blue Brown Green Green Gray Red Purple Purple Black\nBlack Red Red Brown Orange Green Gray Gray Purple Purple Black\nBlack Purple Gray Pink Yellow Yellow Gray Red Yellow Orange 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\nBlack Orange Orange Purple Blue Pink Pink Black\nBlack Gray Brown Purple Green Pink Yellow Black\nBlack Gray Gray Yellow Green Green Green Black\nBlack Gray Gray Purple Red Green Green Black\nBlack Green Orange Purple Brown Gray Yellow Black\nBlack Green Brown Purple Brown Gray Yellow Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Pink Yellow Green Green Yellow Yellow Black\nBlack Pink Pink Green Green Gray Gray Black\nBlack Blue Green Green Red Brown Brown Black\nBlack Purple Purple Yellow Purple Purple Purple Black\nBlack Orange Brown Gray Gray Orange Brown Black\nBlack Orange Gray Gray Gray Green Green Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Gray Gray Yellow Gray Pink Pink Black\nBlack Gray Gray Red Blue Gray Purple Black\nBlack Gray Brown Red Red Red Purple Black\nBlack Blue Gray Green Brown Yellow Blue Black\nBlack Blue Orange Brown Brown Yellow Yellow Black\nBlack Orange Orange Purple Brown Yellow Yellow Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Pink Purple Purple Blue Yellow Yellow Black\nBlack Pink Gray Red Yellow Yellow Yellow Black\nBlack Gray Blue Red Brown Brown Brown Black\nBlack Yellow Red Red Green Brown Purple Black\nBlack Gray Gray Brown Gray Orange Orange Black\nBlack Gray Gray Gray Blue Blue 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 Black Black Black Black\nBlack Yellow Pink Pink Green Red Red Blue Blue Black\nBlack Yellow Brown Brown Green Pink Red Blue Gray Black\nBlack Brown Green Orange Gray Pink Pink Pink Purple Black\nBlack Gray Green Brown Brown Brown Green Yellow Purple Black\nBlack Red Gray Purple Brown Green Green Purple Purple Black\nBlack Pink Pink Purple Brown Yellow Yellow Yellow Purple Black\nBlack Pink Pink Pink Pink Gray Gray Yellow Yellow Black\nBlack Purple Pink Pink Pink Red Purple Green Pink 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 Blue Gray Purple Purple Purple Purple Yellow Pink Black\nBlack Blue Blue Pink Yellow Purple Yellow Yellow Green Black\nBlack Red Red Pink Green Green Yellow Gray Purple Black\nBlack Red Pink Pink Brown Green Yellow Gray Red Black\nBlack Green Green Gray Brown Brown Brown Pink Pink Black\nBlack Pink Brown Orange Brown Purple Purple Pink Pink Black\nBlack Pink Brown Green Green Gray Pink Pink Pink Black\nBlack Yellow Yellow Brown Gray Red Pink Pink Purple Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Black Blue Black Black Black\nBlack Black Blue Black Black Black\nBlack Black Blue Black Black Black\nBlack Black Green Green Green Black\nBlack Brown Pink Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Purple Black Black Black Black Black\nBlack Black Black Black Blue Red Purple Black Black Black Black Black\nBlack Black Black Black Blue Red Purple Black Black Black Black Black\nBlack Black Black Black Blue Blue Purple Purple Purple Black Black Black\nBlack Black Black Blue Blue Purple Purple Red Black Black Black Black\nBlack Black Black Black Green Green Yellow Yellow Yellow Black Black Black\nBlack Black Black Green Green Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Purple Yellow Red Yellow Purple Black\nBlack Blue Gray Gray Gray Blue Black\nBlack Black Brown Gray Brown Black Black\nBlack Black Brown Black Brown Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Blue Blue Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Green Blue Yellow Purple Purple Purple Yellow Black Black Black Black\nBlack Black Black Black Green Blue Yellow Purple Yellow Purple Yellow Black Black Black Black\nBlack Black Black Black Black Green Green Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Green Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black\nBlack Black Black Yellow Orange Orange Black\nBlack Black Green Black Black Pink Black\nBlack Red Red Red Brown Pink Black\nBlack Black Red Red Pink Pink Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Blue Black Purple Blue Yellow Purple Black Black Black Black\nBlack Black Black Black Blue Blue Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Blue Blue Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Green Green Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Green Green Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Green Black Green Black\nBlack Orange Green Orange Black\nBlack Brown Green Brown Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Purple Black Purple Black Black\nBlack Black Blue Blue Purple Purple Purple Black Black\nBlack Black Blue Blue Purple Purple Purple Black Black\nBlack Black Green Green Yellow Yellow Yellow Black Black\nBlack Black Green Green Yellow Yellow Yellow 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:\nOrange Orange Purple Purple Green Green Blue Blue Red Red Yellow Yellow Brown Brown Gray Gray\nOrange Orange Purple Purple Green Green Blue Blue Red Red Yellow Yellow Brown Brown Gray Gray\nOrange Orange Orange Orange Green Green Green Green Brown Brown Orange Orange Pink Pink Gray Gray\nOrange Orange Orange Orange Green Green Green Green Brown Brown Orange Orange Pink Pink Gray Gray\nPurple Purple Gray Gray Pink Pink Blue Blue Orange Orange Gray Gray Orange Orange Brown Brown\nPurple Purple Gray Gray Pink Pink Blue Blue Orange Orange Gray Gray Orange Orange Brown Brown\nOrange Orange Green Green Orange Orange Orange Orange Red Red Purple Purple Yellow Yellow Orange Orange\nOrange Orange Green Green Orange Orange Orange Orange Red Red Purple Purple Yellow Yellow Orange Orange\nGray Gray Yellow Yellow Purple Purple Green Green Green Green Green Green Purple Purple Blue Blue\nGray Gray Yellow Yellow Purple Purple Green Green Green Green Green Green Purple Purple Blue Blue\nOrange Orange Green Green Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown\nOrange Orange Green Green Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown\nBlue Blue Brown Brown Gray Gray Purple Purple Pink Pink Pink Pink Gray Gray Purple Purple\nBlue Blue Brown Brown Gray Gray Purple Purple Pink Pink Pink Pink Gray Gray Purple Purple\nBlue Blue Pink Pink Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nBlue Blue Pink Pink Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Purple Purple Purple Purple\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\nOrange Orange Purple Purple Green Green Blue Blue Red Red Yellow Yellow Brown Brown Gray Gray\nOrange Orange Purple Purple Green Green Blue Blue Red Red Yellow Yellow Brown Brown Gray Gray\nOrange Orange Purple Purple Green Green Blue Blue Red Red Yellow Yellow Brown Brown Gray Gray\nOrange Orange Purple Purple Green Green Blue Blue Red Red Yellow Yellow Brown Brown Gray Gray\nOrange Orange Purple Purple Green Green Blue Blue Red Red Yellow Yellow Brown Brown Gray Gray\nOrange Orange Purple Purple Green Green Blue Blue Red Red Yellow Yellow Brown Brown Gray Gray\nOrange Orange Purple Purple Green Green Blue Blue Red Red Yellow Yellow Brown Brown Gray Gray\nOrange Orange Purple Purple Green Green Blue Blue Red Red Yellow Yellow Brown Brown Gray Gray\nOrange Orange Purple Purple Green Green Blue Blue Red Red Yellow Yellow Brown Brown Gray Gray\nOrange Orange Purple Purple Green Green Blue Blue Red Red Yellow Yellow Brown Brown Gray Gray\nOrange Orange Purple Purple Green Green Blue Blue Red Red Yellow Yellow Brown Brown Gray Gray\nOrange Orange Purple Purple Green Green Blue Blue Red Red Yellow Yellow Brown Brown Gray Gray\nOrange Orange Purple Purple Green Green Blue Blue Red Red Yellow Yellow Brown Brown Gray Gray\nOrange Orange Purple Purple Green Green Blue Blue Red Red Yellow Yellow Brown Brown Gray Gray\n\n\nExample 2\nInput:\nBrown Brown Green Green Red Red Pink Pink Gray Gray Purple Purple Orange Orange\nBrown Brown Green Green Red Red Pink Pink Gray Gray Purple Purple Orange Orange\nBrown Brown Purple Purple Blue Blue Brown Brown Orange Orange Red Red Gray Gray\nBrown Brown Purple Purple Blue Blue Brown Brown Orange Orange Red Red Gray Gray\nPink Pink Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray\nPink Pink Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray\nGreen Green Green Green Pink Pink Brown Brown Orange Orange Blue Blue Orange Orange\nGreen Green Green Green Pink Pink Brown Brown Orange Orange Blue Blue Orange Orange\nPurple Purple Purple Purple Blue Blue Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Blue Blue Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow\nBlue Blue Pink Pink Red Red Green Green Blue Blue Orange Orange Pink Pink\nBlue Blue Pink Pink Red Red Green Green Blue Blue Orange Orange Pink Pink\nYellow Yellow Gray Gray Pink Pink Gray Gray Purple Purple Red Red Purple Purple\nYellow Yellow Gray Gray Pink Pink Gray Gray Purple Purple Red Red Purple Purple\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\nBrown Brown Green Green Red Red Pink Pink Gray Gray Purple Purple Orange Orange\nBrown Brown Green Green Red Red Pink Pink Gray Gray Purple Purple Orange Orange\nBrown Brown Green Green Red Red Pink Pink Gray Gray Purple Purple Orange Orange\nBrown Brown Green Green Red Red Pink Pink Gray Gray Purple Purple Orange Orange\nBrown Brown Green Green Red Red Pink Pink Gray Gray Purple Purple Orange Orange\nBrown Brown Green Green Red Red Pink Pink Gray Gray Purple Purple Orange Orange\nBrown Brown Green Green Red Red Pink Pink Gray Gray Purple Purple Orange Orange\nBrown Brown Green Green Red Red Pink Pink Gray Gray Purple Purple Orange Orange\nBrown Brown Green Green Red Red Pink Pink Gray Gray Purple Purple Orange Orange\nBrown Brown Green Green Red Red Pink Pink Gray Gray Purple Purple Orange Orange\nBrown Brown Green Green Red Red Pink Pink Gray Gray Purple Purple Orange Orange\nBrown Brown Green Green Red Red Pink Pink Gray Gray Purple Purple Orange Orange\n\n\nExample 3\nInput:\nBrown Brown Yellow Yellow Purple Purple Green Green Red Red Gray Gray Orange Orange Blue Blue Pink Pink\nBrown Brown Yellow Yellow Purple Purple Green Green Red Red Gray Gray Orange Orange Blue Blue Pink Pink\nBlue Blue Pink Pink Gray Gray Orange Orange Pink Pink Purple Purple Orange Orange Blue Blue Green Green\nBlue Blue Pink Pink Gray Gray Orange Orange Pink Pink Purple Purple Orange Orange Blue Blue Green Green\nGreen Green Brown Brown Blue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Purple Purple\nGreen Green Brown Brown Blue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Purple Purple\nPink Pink Gray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange\nPink Pink Gray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange\nGray Gray Green Green Gray Gray Blue Blue Pink Pink Brown Brown Yellow Yellow Brown Brown Purple Purple\nGray Gray Green Green Gray Gray Blue Blue Pink Pink Brown Brown Yellow Yellow Brown Brown Purple Purple\nBlue Blue Green Green Brown Brown Red Red Purple Purple Orange Orange Purple Purple Blue Blue Blue Blue\nBlue Blue Green Green Brown Brown Red Red Purple Purple Orange Orange Purple Purple Blue Blue Blue Blue\nYellow Yellow Orange Orange Blue Blue Yellow Yellow Yellow Yellow Blue Blue Green Green Yellow Yellow Green Green\nYellow Yellow Orange Orange Blue Blue Yellow Yellow Yellow Yellow Blue Blue Green Green Yellow Yellow Green Green\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\nBrown Brown Yellow Yellow Purple Purple Green Green Red Red Gray Gray Orange Orange Blue Blue Pink Pink\nBrown Brown Yellow Yellow Purple Purple Green Green Red Red Gray Gray Orange Orange Blue Blue Pink Pink\nBrown Brown Yellow Yellow Purple Purple Green Green Red Red Gray Gray Orange Orange Blue Blue Pink Pink\nBrown Brown Yellow Yellow Purple Purple Green Green Red Red Gray Gray Orange Orange Blue Blue Pink Pink\nBrown Brown Yellow Yellow Purple Purple Green Green Red Red Gray Gray Orange Orange Blue Blue Pink Pink\nBrown Brown Yellow Yellow Purple Purple Green Green Red Red Gray Gray Orange Orange Blue Blue Pink Pink\nBrown Brown Yellow Yellow Purple Purple Green Green Red Red Gray Gray Orange Orange Blue Blue Pink Pink\nBrown Brown Yellow Yellow Purple Purple Green Green Red Red Gray Gray Orange Orange Blue Blue Pink Pink\nBrown Brown Yellow Yellow Purple Purple Green Green Red Red Gray Gray Orange Orange Blue Blue Pink Pink\nBrown Brown Yellow Yellow Purple Purple Green Green Red Red Gray Gray Orange Orange Blue Blue Pink Pink\nBrown Brown Yellow Yellow Purple Purple Green Green Red Red Gray Gray Orange Orange Blue Blue Pink Pink\nBrown Brown Yellow Yellow Purple Purple Green Green Red Red Gray Gray Orange Orange Blue Blue Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nBrown Brown Brown Brown Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Blue Blue Brown Brown\nBrown Brown Brown Brown Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Blue Blue Brown Brown\nOrange Orange Blue Blue Yellow Yellow Brown Brown Purple Purple Pink Pink Pink Pink Pink Pink Orange Orange\nOrange Orange Blue Blue Yellow Yellow Brown Brown Purple Purple Pink Pink Pink Pink Pink Pink Orange Orange\nPurple Purple Red Red Brown Brown Pink Pink Red Red Blue Blue Gray Gray Pink Pink Orange Orange\nPurple Purple Red Red Brown Brown Pink Pink Red Red Blue Blue Gray Gray Pink Pink Orange Orange\nRed Red Orange Orange Gray Gray Green Green Purple Purple Yellow Yellow Orange Orange Blue Blue Orange Orange\nRed Red Orange Orange Gray Gray Green Green Purple Purple Yellow Yellow Orange Orange Blue Blue Orange Orange\nBlue Blue Yellow Yellow Purple Purple Purple Purple Orange Orange Brown Brown Green Green Green Green Pink Pink\nBlue Blue Yellow Yellow Purple Purple Purple Purple Orange Orange Brown Brown Green Green Green Green Pink Pink\nBlue Blue Yellow Yellow Brown Brown Orange Orange Brown Brown Purple Purple Purple Purple Red Red Green Green\nBlue Blue Yellow Yellow Brown Brown Orange Orange Brown Brown Purple Purple Purple Purple Red Red Green Green\nRed Red Blue Blue Purple Purple Red Red Gray Gray Gray Gray Yellow Yellow Blue Blue Pink Pink\nRed Red Blue Blue Purple Purple Red Red Gray Gray Gray Gray Yellow Yellow Blue Blue Pink Pink\nGreen Green Purple Purple Green Green Orange Orange Purple Purple Gray Gray Blue Blue Orange Orange Yellow Yellow\nGreen Green Purple Purple Green Green Orange Orange Purple Purple Gray Gray Blue Blue Orange Orange Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\nPink Pink Gray Gray Red Red Purple Purple Green Green Orange Orange Blue Blue Brown Brown Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\nBlack Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Orange Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Orange Orange Orange Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Orange Orange Orange Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Orange Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Orange Orange Orange Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Orange Orange Orange Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Black Black Black Black Black Orange Orange Orange Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Orange Orange Orange Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Orange Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Red Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black Black\nRed Black Black Black Black Black Yellow Purple Red Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black Black\nRed Black Black Black Black Black Purple Black Purple Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black Black\nRed Black Black Black Black Black Black Purple Yellow Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black Black\nRed Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Green Green Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Green Green Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Green Green Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Green Green Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Green Green Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Green Green Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Green Green Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Green Green Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Green Green Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red 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 Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Green Green Green Black Red Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Green Black Black Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Green Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Red Red\nBlack Black Orange Orange Red Red Red Red Black Black Blue Blue Black Black Red Red\nBlack Black Orange Orange Red Red Red Red Black Black Blue Blue Black Black Red Red\nRed Red Red Red Red Red Black Black Orange Orange Red Red Brown Brown Red Red\nRed Red Red Red Red Red Black Black Orange Orange Red Red Brown Brown Red Red\nBlack Black Black Black Red Red Red Red Black Black Pink Pink Purple Purple Black Black\nBlack Black Black Black Red Red Red Red Black Black Pink Pink Purple Purple Black Black\nOrange Orange Black Black Red Red Red Red Black Black Purple Purple Black Black Black Black\nOrange Orange Black Black Red Red Red Red Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Red Red Red Red Orange Orange Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Orange Orange Red Red Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Pink Pink Yellow Yellow Pink Pink Black Black\nBlack Black Pink Pink Yellow Yellow Pink Pink Black Black\nPink Pink Pink Pink Yellow Yellow Pink Pink Pink Pink\nPink Pink Pink Pink Yellow Yellow Pink Pink Pink Pink\nPink Pink Pink Pink Purple Purple Pink Pink Pink Pink\nPink Pink Pink Pink Purple Purple Pink Pink Pink Pink\nBlack Black Pink Pink Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Pink Pink Black Black\nBlack Black Pink Pink Purple Purple Pink Pink Black Black\nBlack Black Pink Pink Purple Purple Pink Pink Black Black\nYellow Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Gray Gray\nGray Gray Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Gray Gray\nGray Gray Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Brown Brown Yellow Yellow Black Black Gray Gray Gray Gray Black Black\nPink Pink Brown Brown Yellow Yellow Black Black Gray Gray Gray Gray Black Black\nYellow Yellow Pink Pink Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Pink Pink Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBrown Brown Pink Pink Black Black Pink Pink Brown Brown Black Black Black Black\nBrown Brown Pink Pink Black Black Pink Pink Brown Brown Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Green Green Pink Pink Orange Orange\nBlack Black Black Black Pink Pink Pink Pink Green Green Pink Pink Orange Orange\nGray Gray Yellow Yellow Brown Brown Pink Pink Yellow Yellow Purple Purple Pink Pink\nGray Gray Yellow Yellow Brown Brown Pink Pink Yellow Yellow Purple Purple Pink Pink\nOrange Orange Blue Blue Orange Orange Black Black Green Green Pink Pink Black Black\nOrange Orange Blue Blue Orange Orange Black Black Green Green Pink 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```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\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 Brown 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\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow 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 Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\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 Brown 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\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green 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 Black 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 Black 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 Black 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 Black 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 Black 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 Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green 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 Black 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 Black 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 Black 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 Black 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 Black 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 Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red 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 Red Red Red 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 Red Red Red 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 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red 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 Red Red Red 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 Red Red Red Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Red Red Red Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Red Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nRed Red Red Black Black Black Black Black Red Red Red Black Black Black Black Black\nRed Red Red Black Black Black Black Black Red Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Pink Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black 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 Gray 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 Gray Gray Pink Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\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 Red Red Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue 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\nRed Red Red Red Black Black Black Black\nRed Red Red Red Black Black Black Black\nRed Red Red Red Black Black Black Black\nRed Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 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 Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown 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\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Black Black Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Black Black Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Black Black Brown Brown Brown Brown Brown Brown Black Black Yellow Yellow\nYellow Yellow Black Black Brown Brown Brown Brown Brown Brown Black Black Yellow Yellow\nYellow Yellow Black Black Brown Brown Black Black Brown Brown Black Black Yellow Yellow\nYellow Yellow Black Black Brown Brown Black Black Brown Brown Black Black Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Black Black Brown Brown Brown Brown Brown Brown Black Black Yellow Yellow\nYellow Yellow Black Black Brown Brown Brown Brown Brown Brown Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow\nYellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow\nYellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow\nYellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow\nYellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow\nYellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow\nYellow Yellow Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow\nYellow Yellow Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow\nYellow Yellow Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow\nYellow Yellow Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow\nYellow Yellow Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow\nYellow Yellow Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow\nYellow Yellow Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow\nYellow Yellow Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow\nYellow Yellow Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Yellow Orange Black Black Black Black Black\nGreen Purple Orange Black Black Purple Black Purple\nBlack Yellow Black Gray Black Yellow Black Green\nBlack Brown Black Green Green Black Black Green\nBlue Black Black Black Black Blue Green Black\nGreen Black Blue Black Black Gray Black Brown\nRed Yellow Purple Brown Black Gray Black Brown\nYellow Orange Blue Red Black Black Green Green\nBlack Orange Black Red Black Orange Black Black\nBlack Orange Black Brown Blue Green Yellow Blue\nBlack Black Blue Black Black Blue Black Purple\nGreen Black Black Black Orange Orange Black Red\n\nOutput:\nBlue Yellow Orange Black Black Black Black Black\nRed Purple Orange Black Black Purple Black Purple\nBlack Yellow Black Gray Black Yellow Black Red\nBlack Brown Black Red Red Black Black Red\nBlue Black Black Black Black Blue Red Black\nRed Black Blue Black Black Gray Black Brown\nRed Yellow Purple Brown Black Gray Black Brown\nYellow Orange Blue Red Black Black Red Red\nBlack Orange Black Red Black Orange Black Black\nBlack Orange Black Brown Blue Red Yellow Blue\nBlack Black Blue Black Black Blue Black Purple\nRed Black Black Black Orange Orange Black Red\n\n\nExample 2\nInput:\nPurple Pink Gray Pink Black Black Black\nBlack Green Black Black Pink Green Black\nGreen Black Black Black Gray Black Green\nRed Black Pink Gray Black Black Black\nBlack Black Red Black Black Black Black\nRed Brown Pink Black Black Red Purple\nRed Pink Green Black Black Orange Black\nGray Black Green Purple Black Pink Green\nPurple Black Orange Black Black Red Purple\nBlack Orange Green Green Gray Black Black\n\nOutput:\nPurple Pink Gray Pink Black Black Black\nBlack Red Black Black Pink Red Black\nRed Black Black Black Gray Black Red\nRed Black Pink Gray Black Black Black\nBlack Black Red Black Black Black Black\nRed Brown Pink Black Black Red Purple\nRed Pink Red Black Black Orange Black\nGray Black Red Purple Black Pink Red\nPurple Black Orange Black Black Red Purple\nBlack Orange Red Red Gray Black Black\n\n\nExample 3\nInput:\nYellow Black Black Yellow Black Blue Orange\nBlack Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Green Black Black Gray Black\nGray Red Black Black Black Black Yellow\nBlack Red Pink Black Black Black Black\nBlack Pink Brown Black Black Red Pink\nRed Gray Yellow Black Black Black Black\nBlack Orange Black Black Black Brown Black\nBlack Black Yellow Red Black Black Black\nOrange Purple Black Black Orange Black Black\n\nOutput:\nRed Black Black Red Black Blue Orange\nBlack Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Black Green Black Black Gray Black\nGray Red Black Black Black Black Red\nBlack Red Pink Black Black Black Black\nBlack Pink Brown Black Black Red Pink\nRed Gray Red Black Black Black Black\nBlack Orange Black Black Black Brown Black\nBlack Black Red Red Black Black Black\nOrange Purple Black Black Orange Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Purple Gray Black Black Black\nYellow Black Blue Black Black Black Black Black Pink\nBlack Black Black Blue Black Black Black Black Blue\nPink Blue Brown Black Black Black Black Gray Pink\nBlack Black Black Orange Pink Black Blue Black Green\nBlack Black Orange Orange Black Black Gray Purple Pink\nPink Green Black Black Gray Pink Gray Black Orange\nBlack Black Blue Orange Black Black Green Pink Black\nBlack Black Black Orange Gray Black Blue Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Purple Gray Black Black Black\nYellow Black Blue Black Black Black Black Black Red\nBlack Black Black Blue Black Black Black Black Blue\nRed Blue Brown Black Black Black Black Gray Red\nBlack Black Black Orange Red Black Blue Black Green\nBlack Black Orange Orange Black Black Gray Purple Red\nRed Green Black Black Gray Red Gray Black Orange\nBlack Black Blue Orange Black Black Green Red Black\nBlack Black Black Orange Gray Black Blue Gray Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow 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\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 Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow 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\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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow 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 Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow 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 Green Green Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Yellow Black Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Brown Brown Pink Brown Brown Purple\nBlack Black Black Green Pink Black Brown Brown\nBlack Black Brown Brown Pink Brown Brown Purple\nBlack Black Green Green Blue Gray Yellow Gray\nBlack Black Green Black Blue Yellow Blue Yellow\nBlack Black Blue Blue Black Gray Yellow Gray\nBlack Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nBlack Black Orange Red Orange Black Blue Black\nBlack Black Red Orange Red Orange Green Purple\nBlack Black Red Black Red Black Blue Purple\nBlack Black Blue Blue Pink Pink Pink Pink\nBlack Black Blue Pink Pink Black Red Black\nBlack Black Blue Blue Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nYellow Black Black Purple Purple Purple Gray Gray Gray\nYellow Green Black Orange Purple Gray Orange Brown Gray\nBlue Purple Gray Purple Purple Purple Black Orange Gray\nPurple Purple Red Black Brown Black Pink Blue Black\nBlack Blue Red Purple Brown Green Pink Pink Black\nPurple Purple Red Purple Blue Black Black Brown Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Pink Black Gray Blue Blue\nBlack Red Blue Pink Gray Black Blue\nBlack Green Red Pink Black Black Blue\nBlack Brown Brown Black Black Brown Black\nBlack Brown Black Black Blue Brown Blue\nBlack Pink Pink Green Orange Brown Orange\nBlack Blue Pink Blue Black Orange Brown\nBlack Blue Pink Blue Blue Orange Brown\nBlack Black Brown Black Black Orange Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Pink Pink Orange\nGreen Green Blue Blue Gray\nRed Orange Blue Blue Blue\nBrown Blue Blue Gray Blue\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\nPink Pink Orange Brown Brown Pink Pink Orange Black Black\nBlue Blue Gray Green Green Blue Blue Gray Black Black\nBlue Blue Blue Red Orange Blue Blue Blue Black Black\nBlue Gray Blue Brown Blue Blue Gray Blue Black Black\nPink Pink Orange Brown Brown Pink Pink Orange Black Black\nBlue Blue Gray Green Green Blue Blue Gray Black Black\nBlue Blue Blue Red Orange Blue Blue Blue Black Black\n\n\nExample 2\nInput:\nOrange Orange Red Red\nOrange Orange Orange Orange\nOrange Blue Orange Green\nOrange Orange Orange Orange\nOrange Orange Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Red Red Orange Orange Red Red Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Black Black Black\nBlue Orange Green Orange Blue Orange Green Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Black Black Black\nOrange Red Red Orange Orange Red Red Black Black Black\nOrange Red Red Orange Orange Red Red Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Black Black Black\nBlue Orange Green Orange Blue Orange Green Black Black Black\n\n\nExample 3\nInput:\nOrange Brown Purple Orange Orange\nPurple Brown Brown Orange Blue\nRed Red Red Gray Blue\nGray Blue Red Gray Gray\nPink Gray Yellow Brown Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Orange Orange Orange Brown Purple Orange Orange Black Black\nBrown Orange Blue Purple Brown Brown Orange Blue Black Black\nRed Gray Blue Red Red Red Gray Blue Black Black\nRed Gray Gray Gray Blue Red Gray Gray Black Black\nYellow Brown Gray Pink Gray Yellow Brown Gray Black Black\nPurple Orange Orange Orange Brown Purple Orange Orange Black Black\nBrown Orange Blue Purple Brown Brown Orange Blue Black Black\nRed Gray Blue Red Red Red Gray Blue Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Blue Pink\nYellow Blue Blue\nPurple Blue Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlue Pink Purple Blue Pink Black\nBlue Blue Yellow Blue Blue Black\nBlue Pink Purple Blue Pink Black\nBlue Pink Purple Blue Pink Black\nBlue Blue Yellow 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\nBlack Black Black Purple Black Black Black\nBlack Black Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Black Gray Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Black Black Black Black\nBlack Pink Pink Black Black Black Black\nBlack Pink Pink Black Black Black Black\nBlack Black Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black\nBlack Blue Blue Black Black Black Black\nBlack Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black\nBlack Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Black Black Gray Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black\nBlack Black Black Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Black Pink Pink Black\nBlack Pink Black Black Black Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Green Green Green Green Green Green\nBlack Green Green Green Black Green Black\nBlack Green Green Black Black Green Black\nBlack Green Green Green Black Green Black\nBlack Green Green Green Green Green 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 Pink Pink Black Black\nBlack Black Brown Brown Black Pink Pink Black Black\nBlack Black Brown Brown Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Orange Orange Black\nBlue Blue Black Orange Orange Black\nBlue Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow\nBlack Black Red Red Black Black\nBlack Black Red Red Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black\nBlack Yellow Yellow Black Black Black\nBlack Yellow Yellow Black Black Black\nBlack Black Black Red Red Black\nBlack Black Black Red Red Black\nBlack Black Black Black Black Black\nBlack 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 Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black\nBlack Black Brown Brown Black Black Black Black\nBlack Black Brown Brown Black Black Black Black\nBlack Black Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Pink\nBlack Black Black Black Black Green Orange Black\nBlack Black Black Black Black Orange Orange Black\nBlack Orange Green Green Green Blue Purple Black\nBlack Orange Black Black Black Purple Purple Black\nBlack Yellow Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black\nGray Black Black Black Black Black Black Brown\n\nOutput:\nPurple Black Black Black Black Black Black Pink\nBlack Yellow Yellow Orange Orange Black Black Black\nBlack Black Black Black Green Black Black Black\nBlack Black Black Black Green Black Black Black\nBlack Black Black Black Green Black Black Black\nBlack Black Black Purple Blue Orange Green Black\nBlack Black Black Purple Purple Orange Orange Black\nGray Black Black Black Black Black Black Brown\n\n\nExample 2\nInput:\nRed Black Black Black Black Black Yellow\nBlack Orange Green Orange Black Black Black\nBlack Orange Purple Blue Black Black Black\nBlack Gray Blue Blue Black Black Black\nBlack Black Blue Pink Black Blue Black\nBlack Black Black Blue Blue Blue Black\nGreen Black Black Black Black Black Blue\n\nOutput:\nRed Black Black Black Black Black Yellow\nBlack Black Black Gray Orange Orange Black\nBlack Black Blue Blue Purple Green Black\nBlack Blue Pink Blue Blue Orange Black\nBlack Blue Black Black Black Black Black\nBlack Blue Blue Black Black Black Black\nGreen Black Black Black Black Black Blue\n\n\nExample 3\nInput:\nGreen Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Brown Brown Black Black\nBlack Blue Blue Pink Red Pink Green Black Black\nBlack Gray Black Pink Pink Pink Gray Blue Black\nBlack Pink Purple Green Green Gray Gray Blue Black\nBlack Brown Blue Blue Green Purple Purple Purple Black\nBlack Red Yellow Black Black Black Purple Black Black\nPink Black Black Black Black Black Black Black Gray\n\nOutput:\nGreen Black Black Black Black Black Black Black Pink\nBlack Red Brown Pink Gray Blue Black Black Black\nBlack Yellow Blue Purple Black Blue Black Black Black\nBlack Black Blue Green Pink Pink Black Black Black\nBlack Black Green Green Pink Red Black Black Black\nBlack Black Purple Gray Pink Pink Brown Red Black\nBlack Purple Purple Gray Gray Green Brown Red Black\nBlack Black Purple Blue Blue Black Black Black Black\nPink Black Black Black Black Black Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Purple\nBlack Gray Gray Black Black\nBlack Black Gray Yellow Black\nBlack Black Black Yellow Black\nPink Black Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Black Black Black Purple\nBlack Black Black Gray Black\nBlack Black Gray Gray Black\nBlack Yellow Yellow Black Black\nPink Black Black Black Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Yellow Black Blue Pink Black Black Black\nBlack Black Yellow Yellow Black Black Black Blue\nBlue Yellow Yellow Yellow Black Pink Black Black\nGreen Yellow Yellow Black Black Yellow Black Black\nBlack Black Black Black Pink Black Black Black\nBlack Blue Black Black Black Blue Black Black\nBlack Blue Black Black Black Yellow Yellow Pink\nBlack Black Green Red Black Yellow Yellow Black\n\nOutput:\nBlack Yellow Black Blue Pink Black Black Black\nBlack Black Orange Orange Black Black Black Blue\nBlue Orange Orange Orange Black Pink Black Black\nGreen Orange Orange Black Black Yellow Black Black\nBlack Black Black Black Pink Black Black Black\nBlack Blue Black Black Black Blue Black Black\nBlack Blue Black Black Black Orange Orange Pink\nBlack Black Green Red Black Orange Orange Black\n\n\nExample 2\nInput:\nBlack Black Yellow Yellow Black Black Blue\nRed Black Yellow Yellow Black Black Pink\nBlack Black Black Red Black Black Blue\nBlue Black Black Red Black Black Yellow\nYellow Yellow Black Yellow Green Blue Black\nYellow Yellow Green Yellow Yellow Black Black\nBlack Green Red Yellow Yellow Black Black\n\nOutput:\nBlack Black Orange Orange Black Black Blue\nRed Black Orange Orange Black Black Pink\nBlack Black Black Red Black Black Blue\nBlue Black Black Red Black Black Yellow\nOrange Orange Black Yellow Green Blue Black\nOrange Orange Green Orange Orange Black Black\nBlack Green Red Orange Orange Black Black\n\n\nExample 3\nInput:\nBlack Pink Black Black Green Black Pink Black Black\nBlack Black Black Pink Black Black Black Black Yellow\nBlack Black Green Black Black Black Red Black Yellow\nBlue Black Black Yellow Black Black Black Black Black\nBlack Red Black Black Yellow Yellow Black Green Black\nPink Black Pink Yellow Yellow Yellow Black Black Black\nBlue Green Black Yellow Yellow Yellow Pink Black Black\n\nOutput:\nBlack Pink Black Black Green Black Pink Black Black\nBlack Black Black Pink Black Black Black Black Yellow\nBlack Black Green Black Black Black Red Black Yellow\nBlue Black Black Yellow Black Black Black Black Black\nBlack Red Black Black Orange Orange Black Green Black\nPink Black Pink Orange Orange Orange Black Black Black\nBlue Green Black Orange Orange Orange Pink Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Black Blue Red Black Black Pink\nRed Black Black Black Black Black Green Black Black\nBlack Yellow Black Yellow Yellow Blue Green Yellow Black\nPink Black Black Yellow Yellow Yellow Pink Black Pink\nBlack Black Green Black Yellow Yellow Black Black Green\nBlack Black Blue Black Pink Black Black Yellow Yellow\nBlue Black Black Black Black Black Black Yellow Yellow\nBlack Red Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Green Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Black Blue Red Black Black Pink\nRed Black Black Black Black Black Green Black Black\nBlack Yellow Black Orange Orange Blue Green Yellow Black\nPink Black Black Orange Orange Orange Pink Black Pink\nBlack Black Green Black Orange Orange Black Black Green\nBlack Black Blue Black Pink Black Black Orange Orange\nBlue Black Black Black Black Black Black Orange Orange\nBlack Red Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Green Green Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black 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 Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Black Black Black Green Black Blue Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Pink 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 Black Black Black Black Black Black Black\nBlack Black Black Black Blue 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 Black 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 Blue Black Pink Black Black\nBlack Black Black Pink Black Black Green Green Black\nBlack Black Blue Black Black Black Black Black Green\nBlack Blue Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Green Black Black\nBlue Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Green 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 Blue Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Blue Black Green Black Black Black\nBlack Black Pink Black Black Green Green Black Black\nBlack Blue Black Black Black Black Black Green Black\nBlue Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black\nBlack Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black\nBlack Black Red Red Black Black Black Black\nBlack Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack 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 Red Red Black\nBlack Black Black Black Red Red Black\nBlack Black Black Black Red Red Black\n\nOutput:\nBlack Black Black Black Black Red Red\nBlack Black Black Black Black Red Red\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\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 Red Red Red 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 Red Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack 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 Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack 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 Brown Brown Brown\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black 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 Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink 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 Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Green Green Green 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 Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Gray Blue Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Red Blue Black Black Black\nBlack Black Black Black Black Red Blue Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Blue Red 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 Red Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Blue Black Black\nBlack Black Blue Black Black Black Blue Black Black\nBlack Black Yellow Black Blue Black Black Blue Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Yellow Black Black Black\nBlue Black Blue Black Blue Black Black Black Blue\nBlack Black Blue Black Yellow Black Blue Yellow Black\nYellow Black Blue Black Black Black Yellow Blue Black\nBlue Black Black Black Black Black Blue Blue Black\nBlack Black Black Yellow Black Blue Yellow Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black\nBlack Black Blue Black Black Black Gray Black Black\nBlack Black Yellow Black Blue Black Black Blue Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Yellow Black Black Black\nBlue Black Blue Black Blue Black Black Black Blue\nBlack Black Blue Black Yellow Black Blue Yellow Black\nYellow Black Blue Black Black Black Yellow Blue Black\nBlue Black Black Black Black Black Blue Blue Black\nBlack Black Black Yellow Black Blue Yellow Blue Blue\n\n\nExample 2\nInput:\nBlack Blue Blue Black Black Blue Blue Black Black Black\nBlack Black Black Yellow Black Blue Black Blue Yellow Black\nBlack Black Black Black Blue Yellow Yellow Black Blue Yellow\nYellow Black Black Black Blue Black Black Blue Black Yellow\nBlue Blue Blue Black Black Yellow Yellow Yellow Yellow Black\nBlue Yellow Blue Black Black Blue Black Black Blue Blue\nYellow Yellow Black Black Black Yellow Blue Blue Yellow Yellow\nBlack Black Black Blue Black Black Blue Black Blue Black\nBlack Blue Black Black Black Black Black Black Blue Yellow\nBlack Black Yellow Yellow Yellow Black Black Yellow Black Blue\n\nOutput:\nBlack Gray Gray Black Black Blue Blue Black Black Black\nBlack Black Black Yellow Black Blue Black Blue Yellow Black\nBlack Black Black Black Blue Yellow Yellow Black Blue Yellow\nYellow Black Black Black Blue Black Black Blue Black Yellow\nBlue Blue Blue Black Black Yellow Yellow Yellow Yellow Black\nBlue Yellow Blue Black Black Blue Black Black Blue Blue\nYellow Yellow Black Black Black Yellow Blue Blue Yellow Yellow\nBlack Black Black Blue Black Black Blue Black Blue Black\nBlack Blue Black Black Black Black Black Black Blue Yellow\nBlack Black Yellow Yellow Yellow Black Black Yellow Black Blue\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Black Black Black Yellow Black Black\nBlack Yellow Black Yellow Blue Blue Yellow Yellow Blue Black\nBlack Yellow Black Blue Blue Black Black Blue Blue Blue\nBlue Black Black Black Blue Black Black Black Black Black\nBlack Black Blue Black Yellow Blue Blue Blue Black Blue\nBlack Black Black Blue Blue Blue Black Yellow Black Blue\nYellow Black Black Black Black Yellow Black Black Black Black\nBlue Yellow Black Black Black Black Black Blue Black Blue\nYellow Black Black Blue Black Yellow Black Black Black Yellow\n\nOutput:\nGray Gray Blue Blue Black Black Black Yellow Black Black\nBlack Yellow Black Yellow Blue Blue Yellow Yellow Blue Black\nBlack Yellow Black Blue Blue Black Black Blue Blue Blue\nBlue Black Black Black Blue Black Black Black Black Black\nBlack Black Blue Black Yellow Blue Blue Blue Black Blue\nBlack Black Black Blue Blue Blue Black Yellow Black Blue\nYellow Black Black Black Black Yellow Black Black Black Black\nBlue Yellow Black Black Black Black Black Blue Black Blue\nYellow Black Black Blue Black Yellow Black Black Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Blue Yellow Black Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Blue Black Black Black Yellow\nBlack Black Blue Black Blue Yellow Black Black Yellow Black Black\nYellow Blue Black Black Black Black Black Black Yellow Black Blue\nBlack Black Black Black Blue Blue Yellow Yellow Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Blue Yellow Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Yellow Blue Yellow Black Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Blue Black Black Black Yellow\nBlack Black Blue Black Blue Yellow Black Black Yellow Black Black\nYellow Blue Black Black Black Black Black Black Yellow Black Blue\nBlack Black Black Black Gray Gray Yellow Yellow Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Blue 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:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Red Red Red Red Red Black Black Black Black Purple\nPurple Black Black Black Black Red Red Red Red Red Black Black Black Black Purple\nPurple Black Black Black Black Red Red Red Red Red Black Black Black Black Purple\nPurple Black Black Black Black Red Red Red Red Red Black Black Black Black Purple\nPurple Black Black Black Black Red Black Black Black Red Black Black Black Black Purple\nPurple Black Black Black Black Red Black Black Black Red Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Purple\nPurple Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Purple\nPurple Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Purple\nPurple Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Purple\nPurple Black Black Black Black Purple Black Black Black Purple Black Black Black Black Purple\nPurple Black Black Black Black Purple Black Black Black Purple Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Brown Brown Brown Brown Black Black Black Green\nGreen Black Black Black Black Black Black Brown Black Black Black Black Green\nGreen Black Black Black Black Black Black Brown Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Green Green Green Green Black Black Black Green\nGreen Black Black Black Black Black Black Green Black Black Black Black Green\nGreen Black Black Black Black Black Black Green Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Gray Gray Orange Orange Purple Purple Yellow Yellow Pink Pink Gray Gray Red Red\nBlue Blue Gray Gray Orange Orange Purple Purple Yellow Yellow Pink Pink Gray Gray Red Red\nPurple Purple Gray Gray Red Red Gray Gray Yellow Yellow Purple Purple Orange Orange Purple Purple\nPurple Purple Gray Gray Red Red Gray Gray Yellow Yellow Purple Purple Orange Orange Purple Purple\nBlue Blue Orange Orange Blue Blue Blue Blue Blue Blue Purple Purple Pink Pink Red Red\nBlue Blue Orange Orange Blue Blue Blue Blue Blue Blue Purple Purple Pink Pink Red Red\nOrange Orange Blue Blue Orange Orange Orange Orange Orange Orange Green Green Green Green Purple Purple\nOrange Orange Blue Blue Orange Orange Orange Orange Orange Orange Green Green Green Green Purple Purple\nGray Gray Yellow Yellow Orange Orange Purple Purple Gray Gray Pink Pink Red Red Green Green\nGray Gray Yellow Yellow Orange Orange Purple Purple Gray Gray Pink Pink Red Red Green Green\nPink Pink Orange Orange Green Green Pink Pink Pink Pink Gray Gray Orange Orange Red Red\nPink Pink Orange Orange Green Green Pink Pink Pink Pink Gray Gray Orange Orange Red Red\nOrange Orange Pink Pink Purple Purple Gray Gray Orange Orange Yellow Yellow Purple Purple Blue Blue\nOrange Orange Pink Pink Purple Purple Gray Gray Orange Orange Yellow Yellow Purple Purple Blue Blue\nGray Gray Blue Blue Red Red Orange Orange Blue Blue Pink Pink Orange Orange Blue Blue\nGray Gray Blue Blue Red Red Orange Orange Blue Blue Pink Pink Orange Orange Blue Blue\nGray Gray Purple Purple Green Green Pink Pink Red Red Blue Blue Orange Orange Orange Orange\nGray Gray Purple Purple Green Green Pink Pink Red Red Blue Blue Orange Orange Orange Orange\nPink Pink Orange Orange Blue Blue Green Green Yellow Yellow Pink Pink Orange Orange Purple Purple\nPink Pink Orange Orange Blue Blue Green Green Yellow Yellow Pink Pink Orange Orange Purple Purple\n\nOutput:\nYellow Yellow Pink Pink Purple Purple Orange Orange Blue Blue Gray Gray Pink Pink Green Green\nYellow Yellow Pink Pink Purple Purple Orange Orange Blue Blue Gray Gray Pink Pink Green Green\nOrange Orange Pink Pink Green Green Pink Pink Blue Blue Orange Orange Purple Purple Orange Orange\nOrange Orange Pink Pink Green Green Pink Pink Blue Blue Orange Orange Purple Purple Orange Orange\nYellow Yellow Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Gray Gray Green Green\nYellow Yellow Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Gray Gray Green Green\nPurple Purple Yellow Yellow Purple Purple Purple Purple Purple Purple Red Red Red Red Orange Orange\nPurple Purple Yellow Yellow Purple Purple Purple Purple Purple Purple Red Red Red Red Orange Orange\nPink Pink Blue Blue Purple Purple Orange Orange Pink Pink Gray Gray Green Green Red Red\nPink Pink Blue Blue Purple Purple Orange Orange Pink Pink Gray Gray Green Green Red Red\nGray Gray Purple Purple Red Red Gray Gray Gray Gray Pink Pink Purple Purple Green Green\nGray Gray Purple Purple Red Red Gray Gray Gray Gray Pink Pink Purple Purple Green Green\nPurple Purple Gray Gray Orange Orange Pink Pink Purple Purple Blue Blue Orange Orange Yellow Yellow\nPurple Purple Gray Gray Orange Orange Pink Pink Purple Purple Blue Blue Orange Orange Yellow Yellow\nPink Pink Yellow Yellow Green Green Purple Purple Yellow Yellow Gray Gray Purple Purple Yellow Yellow\nPink Pink Yellow Yellow Green Green Purple Purple Yellow Yellow Gray Gray Purple Purple Yellow Yellow\nPink Pink Orange Orange Red Red Gray Gray Green Green Yellow Yellow Purple Purple Purple Purple\nPink Pink Orange Orange Red Red Gray Gray Green Green Yellow Yellow Purple Purple Purple Purple\nGray Gray Purple Purple Yellow Yellow Red Red Blue Blue Gray Gray Purple Purple Orange Orange\nGray Gray Purple Purple Yellow Yellow Red Red Blue Blue Gray Gray Purple Purple Orange Orange\n\n\nExample 2\nInput:\nGreen Green Purple Purple Red Red Yellow Yellow Pink Pink Green Green Blue Blue Red Red Yellow Yellow Orange Orange\nGreen Green Purple Purple Red Red Yellow Yellow Pink Pink Green Green Blue Blue Red Red Yellow Yellow Orange Orange\nPink Pink Purple Purple Purple Purple Orange Orange Red Red Yellow Yellow Gray Gray Yellow Yellow Pink Pink Orange Orange\nPink Pink Purple Purple Purple Purple Orange Orange Red Red Yellow Yellow Gray Gray Yellow Yellow Pink Pink Orange Orange\nYellow Yellow Blue Blue Blue Blue Orange Orange Yellow Yellow Green Green Blue Blue Blue Blue Blue Blue Pink Pink\nYellow Yellow Blue Blue Blue Blue Orange Orange Yellow Yellow Green Green Blue Blue Blue Blue Blue Blue Pink Pink\nRed Red Orange Orange Red Red Orange Orange Pink Pink Red Red Purple Purple Purple Purple Yellow Yellow Purple Purple\nRed Red Orange Orange Red Red Orange Orange Pink Pink Red Red Purple Purple Purple Purple Yellow Yellow Purple Purple\nYellow Yellow Red Red Gray Gray Orange Orange Blue Blue Red Red Gray Gray Red Red Gray Gray Purple Purple\nYellow Yellow Red Red Gray Gray Orange Orange Blue Blue Red Red Gray Gray Red Red Gray Gray Purple Purple\nRed Red Purple Purple Green Green Pink Pink Red Red Green Green Orange Orange Gray Gray Green Green Gray Gray\nRed Red Purple Purple Green Green Pink Pink Red Red Green Green Orange Orange Gray Gray Green Green Gray Gray\nRed Red Pink Pink Blue Blue Green Green Blue Blue Yellow Yellow Red Red Yellow Yellow Blue Blue Orange Orange\nRed Red Pink Pink Blue Blue Green Green Blue Blue Yellow Yellow Red Red Yellow Yellow Blue Blue Orange Orange\n\nOutput:\nRed Red Orange Orange Green Green Blue Blue Gray Gray Red Red Yellow Yellow Green Green Blue Blue Purple Purple\nRed Red Orange Orange Green Green Blue Blue Gray Gray Red Red Yellow Yellow Green Green Blue Blue Purple Purple\nGray Gray Orange Orange Orange Orange Purple Purple Green Green Blue Blue Pink Pink Blue Blue Gray Gray Purple Purple\nGray Gray Orange Orange Orange Orange Purple Purple Green Green Blue Blue Pink Pink Blue Blue Gray Gray Purple Purple\nBlue Blue Yellow Yellow Yellow Yellow Purple Purple Blue Blue Red Red Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray\nBlue Blue Yellow Yellow Yellow Yellow Purple Purple Blue Blue Red Red Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray\nGreen Green Purple Purple Green Green Purple Purple Gray Gray Green Green Orange Orange Orange Orange Blue Blue Orange Orange\nGreen Green Purple Purple Green Green Purple Purple Gray Gray Green Green Orange Orange Orange Orange Blue Blue Orange Orange\nBlue Blue Green Green Pink Pink Purple Purple Yellow Yellow Green Green Pink Pink Green Green Pink Pink Orange Orange\nBlue Blue Green Green Pink Pink Purple Purple Yellow Yellow Green Green Pink Pink Green Green Pink Pink Orange Orange\nGreen Green Orange Orange Red Red Gray Gray Green Green Red Red Purple Purple Pink Pink Red Red Pink Pink\nGreen Green Orange Orange Red Red Gray Gray Green Green Red Red Purple Purple Pink Pink Red Red Pink Pink\nGreen Green Gray Gray Yellow Yellow Red Red Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Purple Purple\nGreen Green Gray Gray Yellow Yellow Red Red Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Purple Purple\n\n\nExample 3\nInput:\nYellow Yellow Gray Gray Red Red Green Green Gray Gray Purple Purple Orange Orange Pink Pink Yellow Yellow\nYellow Yellow Gray Gray Red Red Green Green Gray Gray Purple Purple Orange Orange Pink Pink Yellow Yellow\nPink Pink Purple Purple Gray Gray Orange Orange Pink Pink Orange Orange Green Green Green Green Yellow Yellow\nPink Pink Purple Purple Gray Gray Orange Orange Pink Pink Orange Orange Green Green Green Green Yellow Yellow\nPink Pink Purple Purple Pink Pink Yellow Yellow Green Green Gray Gray Yellow Yellow Orange Orange Blue Blue\nPink Pink Purple Purple Pink Pink Yellow Yellow Green Green Gray Gray Yellow Yellow Orange Orange Blue Blue\nRed Red Pink Pink Purple Purple Red Red Red Red Purple Purple Blue Blue Gray Gray Blue Blue\nRed Red Pink Pink Purple Purple Red Red Red Red Purple Purple Blue Blue Gray Gray Blue Blue\nBlue Blue Orange Orange Yellow Yellow Purple Purple Pink Pink Red Red Green Green Green Green Pink Pink\nBlue Blue Orange Orange Yellow Yellow Purple Purple Pink Pink Red Red Green Green Green Green Pink Pink\nGray Gray Orange Orange Purple Purple Pink Pink Purple Purple Orange Orange Red Red Blue Blue Gray Gray\nGray Gray Orange Orange Purple Purple Pink Pink Purple Purple Orange Orange Red Red Blue Blue Gray Gray\nGreen Green Pink Pink Green Green Pink Pink Blue Blue Purple Purple Yellow Yellow Yellow Yellow Red Red\nGreen Green Pink Pink Green Green Pink Pink Blue Blue Purple Purple Yellow Yellow Yellow Yellow Red Red\n\nOutput:\nBlue Blue Pink Pink Green Green Red Red Pink Pink Orange Orange Purple Purple Gray Gray Blue Blue\nBlue Blue Pink Pink Green Green Red Red Pink Pink Orange Orange Purple Purple Gray Gray Blue Blue\nGray Gray Orange Orange Pink Pink Purple Purple Gray Gray Purple Purple Red Red Red Red Blue Blue\nGray Gray Orange Orange Pink Pink Purple Purple Gray Gray Purple Purple Red Red Red Red Blue Blue\nGray Gray Orange Orange Gray Gray Blue Blue Red Red Pink Pink Blue Blue Purple Purple Yellow Yellow\nGray Gray Orange Orange Gray Gray Blue Blue Red Red Pink Pink Blue Blue Purple Purple Yellow Yellow\nGreen Green Gray Gray Orange Orange Green Green Green Green Orange Orange Yellow Yellow Pink Pink Yellow Yellow\nGreen Green Gray Gray Orange Orange Green Green Green Green Orange Orange Yellow Yellow Pink Pink Yellow Yellow\nYellow Yellow Purple Purple Blue Blue Orange Orange Gray Gray Green Green Red Red Red Red Gray Gray\nYellow Yellow Purple Purple Blue Blue Orange Orange Gray Gray Green Green Red Red Red Red Gray Gray\nPink Pink Purple Purple Orange Orange Gray Gray Orange Orange Purple Purple Green Green Yellow Yellow Pink Pink\nPink Pink Purple Purple Orange Orange Gray Gray Orange Orange Purple Purple Green Green Yellow Yellow Pink Pink\nRed Red Gray Gray Red Red Gray Gray Yellow Yellow Orange Orange Blue Blue Blue Blue Green Green\nRed Red Gray Gray Red Red Gray Gray Yellow Yellow Orange Orange Blue Blue Blue Blue Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Yellow Yellow Green Green Blue Blue Red Red Yellow Yellow Purple Purple Purple Purple Orange Orange\nGreen Green Yellow Yellow Green Green Blue Blue Red Red Yellow Yellow Purple Purple Purple Purple Orange Orange\nBlue Blue Purple Purple Red Red Blue Blue Gray Gray Blue Blue Gray Gray Pink Pink Green Green\nBlue Blue Purple Purple Red Red Blue Blue Gray Gray Blue Blue Gray Gray Pink Pink Green Green\nOrange Orange Gray Gray Blue Blue Orange Orange Purple Purple Yellow Yellow Orange Orange Red Red Orange Orange\nOrange Orange Gray Gray Blue Blue Orange Orange Purple Purple Yellow Yellow Orange Orange Red Red Orange Orange\nPurple Purple Purple Purple Green Green Red Red Green Green Green Green Pink Pink Pink Pink Gray Gray\nPurple Purple Purple Purple Green Green Red Red Green Green Green Green Pink Pink Pink Pink Gray Gray\nGreen Green Red Red Gray Gray Purple Purple Yellow Yellow Green Green Pink Pink Orange Orange Orange Orange\nGreen Green Red Red Gray Gray Purple Purple Yellow Yellow Green Green Pink Pink Orange Orange Orange Orange\nRed Red Purple Purple Yellow Yellow Blue Blue Red Red Purple Purple Purple Purple Pink Pink Pink Pink\nRed Red Purple Purple Yellow Yellow Blue Blue Red Red Purple Purple Purple Purple Pink Pink Pink Pink\nPink Pink Orange Orange Pink Pink Purple Purple Red Red Yellow Yellow Red Red Pink Pink Gray Gray\nPink Pink Orange Orange Pink Pink Purple Purple Red Red Yellow Yellow Red Red Pink Pink Gray Gray\nPink Pink Purple Purple Gray Gray Pink Pink Red Red Red Red Blue Blue Yellow Yellow Gray Gray\nPink Pink Purple Purple Gray Gray Pink Pink Red Red Red Red Blue Blue Yellow Yellow Gray Gray\nRed Red Purple Purple Pink Pink Blue Blue Gray Gray Green Green Gray Gray Pink Pink Pink Pink\nRed Red Purple Purple Pink Pink Blue Blue Gray Gray Green Green Gray Gray Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Blue Blue Red Red Yellow Yellow Green Green Blue Blue Orange Orange Orange Orange Purple Purple\nRed Red Blue Blue Red Red Yellow Yellow Green Green Blue Blue Orange Orange Orange Orange Purple Purple\nYellow Yellow Orange Orange Green Green Yellow Yellow Pink Pink Yellow Yellow Pink Pink Gray Gray Red Red\nYellow Yellow Orange Orange Green Green Yellow Yellow Pink Pink Yellow Yellow Pink Pink Gray Gray Red Red\nPurple Purple Pink Pink Yellow Yellow Purple Purple Orange Orange Blue Blue Purple Purple Green Green Purple Purple\nPurple Purple Pink Pink Yellow Yellow Purple Purple Orange Orange Blue Blue Purple Purple Green Green Purple Purple\nOrange Orange Orange Orange Red Red Green Green Red Red Red Red Gray Gray Gray Gray Pink Pink\nOrange Orange Orange Orange Red Red Green Green Red Red Red Red Gray Gray Gray Gray Pink Pink\nRed Red Green Green Pink Pink Orange Orange Blue Blue Red Red Gray Gray Purple Purple Purple Purple\nRed Red Green Green Pink Pink Orange Orange Blue Blue Red Red Gray Gray Purple Purple Purple Purple\nGreen Green Orange Orange Blue Blue Yellow Yellow Green Green Orange Orange Orange Orange Gray Gray Gray Gray\nGreen Green Orange Orange Blue Blue Yellow Yellow Green Green Orange Orange Orange Orange Gray Gray Gray Gray\nGray Gray Purple Purple Gray Gray Orange Orange Green Green Blue Blue Green Green Gray Gray Pink Pink\nGray Gray Purple Purple Gray Gray Orange Orange Green Green Blue Blue Green Green Gray Gray Pink Pink\nGray Gray Orange Orange Pink Pink Gray Gray Green Green Green Green Yellow Yellow Blue Blue Pink Pink\nGray Gray Orange Orange Pink Pink Gray Gray Green Green Green Green Yellow Yellow Blue Blue Pink Pink\nGreen Green Orange Orange Gray Gray Yellow Yellow Pink Pink Red Red Pink Pink Gray Gray Gray Gray\nGreen Green Orange Orange Gray Gray Yellow Yellow Pink Pink Red Red Pink Pink Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Pink Brown Purple Gray Pink Orange Brown Green Green Orange Orange Green Green Brown Orange Pink Gray Purple Brown Pink Yellow\nOrange Brown Orange Gray Orange Blue Pink Gray Purple Orange Yellow Yellow Orange Purple Gray Pink Blue Orange Gray Orange Brown Orange\nPurple Red Orange Orange Green Orange Blue Purple Green Green Green Green Green Green Purple Blue Orange Green Orange Orange Red Purple\nPurple Yellow Gray Brown Purple Brown Orange Yellow Yellow Green Orange Orange Green Yellow Yellow Orange Brown Purple Brown Gray Yellow Purple\nPurple Gray Pink Pink Purple Gray Brown Blue Purple Purple Yellow Yellow Purple Purple Blue Brown Gray Purple Pink Pink Gray Purple\nYellow Gray Yellow Pink Blue Green Purple Brown Purple Blue Yellow Yellow Blue Purple Brown Purple Green Blue Pink Yellow Gray Yellow\nRed Gray Pink Orange Red Brown Red Brown Red Purple Purple Purple Purple Red Brown Red Brown Red Orange Pink Gray Red\nOrange Pink Red Orange Brown Blue Brown Gray Pink Blue Blue Blue Blue Pink Gray Brown Blue Brown Orange Red Pink Orange\n\nOutput:\nYellow Pink Brown Purple Gray Pink Orange Brown Green Green Orange Yellow Pink Brown Purple Gray Pink Orange Brown Green Green Orange\nOrange Brown Orange Gray Orange Blue Pink Gray Purple Orange Yellow Orange Brown Orange Gray Orange Blue Pink Gray Purple Orange Yellow\nPurple Red Orange Orange Green Orange Blue Purple Green Green Green Purple Red Orange Orange Green Orange Blue Purple Green Green Green\nPurple Yellow Gray Brown Purple Brown Orange Yellow Yellow Green Orange Purple Yellow Gray Brown Purple Brown Orange Yellow Yellow Green Orange\nPurple Gray Pink Pink Purple Gray Brown Blue Purple Purple Yellow Purple Gray Pink Pink Purple Gray Brown Blue Purple Purple Yellow\nYellow Gray Yellow Pink Blue Green Purple Brown Purple Blue Yellow Yellow Gray Yellow Pink Blue Green Purple Brown Purple Blue Yellow\nRed Gray Pink Orange Red Brown Red Brown Red Purple Purple Red Gray Pink Orange Red Brown Red Brown Red Purple Purple\nOrange Pink Red Orange Brown Blue Brown Gray Pink Blue Blue Orange Pink Red Orange Brown Blue Brown Gray Pink Blue Blue\n\n\nExample 2\nInput:\nOrange Yellow Blue Red Green Pink Blue Gray Red Orange Brown Brown Orange Red Gray Blue Pink Green Red Blue Yellow Orange\nBlue Purple Brown Gray Brown Brown Purple Purple Brown Pink Orange Orange Pink Brown Purple Purple Brown Brown Gray Brown Purple Blue\nBlue Orange Brown Pink Green Green Yellow Yellow Orange Yellow Blue Blue Yellow Orange Yellow Yellow Green Green Pink Brown Orange Blue\nPurple Purple Pink Orange Blue Green Red Pink Blue Purple Red Red Purple Blue Pink Red Green Blue Orange Pink Purple Purple\nPurple Gray Pink Gray Yellow Purple Pink Orange Red Pink Orange Orange Pink Red Orange Pink Purple Yellow Gray Pink Gray Purple\nYellow Brown Gray Gray Orange Pink Orange Orange Brown Brown Purple Purple Brown Brown Orange Orange Pink Orange Gray Gray Brown Yellow\nPurple Purple Red Yellow Gray Orange Gray Purple Purple Orange Green Green Orange Purple Purple Gray Orange Gray Yellow Red Purple Purple\n\nOutput:\nOrange Yellow Blue Red Green Pink Blue Gray Red Orange Brown Orange Yellow Blue Red Green Pink Blue Gray Red Orange Brown\nBlue Purple Brown Gray Brown Brown Purple Purple Brown Pink Orange Blue Purple Brown Gray Brown Brown Purple Purple Brown Pink Orange\nBlue Orange Brown Pink Green Green Yellow Yellow Orange Yellow Blue Blue Orange Brown Pink Green Green Yellow Yellow Orange Yellow Blue\nPurple Purple Pink Orange Blue Green Red Pink Blue Purple Red Purple Purple Pink Orange Blue Green Red Pink Blue Purple Red\nPurple Gray Pink Gray Yellow Purple Pink Orange Red Pink Orange Purple Gray Pink Gray Yellow Purple Pink Orange Red Pink Orange\nYellow Brown Gray Gray Orange Pink Orange Orange Brown Brown Purple Yellow Brown Gray Gray Orange Pink Orange Orange Brown Brown Purple\nPurple Purple Red Yellow Gray Orange Gray Purple Purple Orange Green Purple Purple Red Yellow Gray Orange Gray Purple Purple Orange Green\n\n\nExample 3\nInput:\nBrown Yellow Yellow Red Green Blue Orange Purple Pink Orange Orange Pink Purple Orange Blue Green Red Yellow Yellow Brown\nGray Pink Blue Purple Yellow Orange Green Purple Blue Blue Blue Blue Purple Green Orange Yellow Purple Blue Pink Gray\nBrown Green Orange Gray Red Yellow Pink Purple Orange Gray Gray Orange Purple Pink Yellow Red Gray Orange Green Brown\nPink Purple Brown Yellow Brown Pink Blue Gray Green Gray Gray Green Gray Blue Pink Brown Yellow Brown Purple Pink\nBlue Blue Purple Orange Purple Red Brown Green Blue Green Green Blue Green Brown Red Purple Orange Purple Blue Blue\nYellow Green Blue Yellow Yellow Blue Orange Yellow Brown Brown Brown Brown Yellow Orange Blue Yellow Yellow Blue Green Yellow\nPink Purple Blue Orange Green Gray Blue Green Blue Gray Gray Blue Green Blue Gray Green Orange Blue Purple Pink\n\nOutput:\nBrown Yellow Yellow Red Green Blue Orange Purple Pink Orange Brown Yellow Yellow Red Green Blue Orange Purple Pink Orange\nGray Pink Blue Purple Yellow Orange Green Purple Blue Blue Gray Pink Blue Purple Yellow Orange Green Purple Blue Blue\nBrown Green Orange Gray Red Yellow Pink Purple Orange Gray Brown Green Orange Gray Red Yellow Pink Purple Orange Gray\nPink Purple Brown Yellow Brown Pink Blue Gray Green Gray Pink Purple Brown Yellow Brown Pink Blue Gray Green Gray\nBlue Blue Purple Orange Purple Red Brown Green Blue Green Blue Blue Purple Orange Purple Red Brown Green Blue Green\nYellow Green Blue Yellow Yellow Blue Orange Yellow Brown Brown Yellow Green Blue Yellow Yellow Blue Orange Yellow Brown Brown\nPink Purple Blue Orange Green Gray Blue Green Blue Gray Pink Purple Blue Orange Green Gray Blue Green Blue Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Green Pink Brown Gray Brown Blue Pink Gray Gray Pink Blue Brown Gray Brown Pink Green Gray Pink\nPink Gray Pink Brown Brown Orange Pink Pink Pink Purple Purple Pink Pink Pink Orange Brown Brown Pink Gray Pink\nBrown Yellow Blue Orange Orange Pink Gray Blue Red Pink Pink Red Blue Gray Pink Orange Orange Blue Yellow Brown\nBrown Red Purple Orange Blue Orange Yellow Purple Green Gray Gray Green Purple Yellow Orange Blue Orange Purple Red Brown\nOrange Red Pink Green Green Brown Orange Purple Purple Yellow Yellow Purple Purple Orange Brown Green Green Pink Red Orange\nBlue Green Red Purple Purple Brown Orange Brown Yellow Blue Blue Yellow Brown Orange Brown Purple Purple Red Green Blue\nPink Blue Yellow Gray Gray Red Purple Blue Red Yellow Yellow Red Blue Purple Red Gray Gray Yellow Blue Pink\nOrange Blue Gray Purple Orange Green Purple Green Pink Red Red Pink Green Purple Green Orange Purple Gray Blue Orange\nYellow Gray Brown Gray Orange Green Orange Red Brown Yellow Yellow Brown Red Orange Green Orange Gray Brown 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```\nPink Gray Green Pink Brown Gray Brown Blue Pink Gray Pink Gray Green Pink Brown Gray Brown Blue Pink Gray\nPink Gray Pink Brown Brown Orange Pink Pink Pink Purple Pink Gray Pink Brown Brown Orange Pink Pink Pink Purple\nBrown Yellow Blue Orange Orange Pink Gray Blue Red Pink Brown Yellow Blue Orange Orange Pink Gray Blue Red Pink\nBrown Red Purple Orange Blue Orange Yellow Purple Green Gray Brown Red Purple Orange Blue Orange Yellow Purple Green Gray\nOrange Red Pink Green Green Brown Orange Purple Purple Yellow Orange Red Pink Green Green Brown Orange Purple Purple Yellow\nBlue Green Red Purple Purple Brown Orange Brown Yellow Blue Blue Green Red Purple Purple Brown Orange Brown Yellow Blue\nPink Blue Yellow Gray Gray Red Purple Blue Red Yellow Pink Blue Yellow Gray Gray Red Purple Blue Red Yellow\nOrange Blue Gray Purple Orange Green Purple Green Pink Red Orange Blue Gray Purple Orange Green Purple Green Pink Red\nYellow Gray Brown Gray Orange Green Orange Red Brown Yellow Yellow Gray Brown Gray Orange Green Orange Red Brown Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Purple Purple Red Red Black Black Brown Brown\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Purple Purple Red Red Black Black Brown Brown\nPurple Purple Blue Blue Black Black Black Black Blue Blue Orange Orange Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Blue Blue Black Black Black Black Blue Blue Orange Orange Blue Blue Black Black Black Black 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 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 Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Yellow Yellow Black Black Black Black Brown Brown Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Yellow Yellow Black Black Black Black Brown Brown Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Orange Orange Black Black\nBrown Brown Black Black Black Black Black Black Orange Orange Yellow Yellow Red Red Pink Pink Black Black Pink Pink Red Red Black Black Black Black\nBrown Brown Black Black Black Black Black Black Orange Orange Yellow Yellow Red Red Pink Pink Black Black Pink Pink Red Red Black Black Black Black\nPurple Purple Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Pink Pink Black Black Black Black Orange Orange Black Black\nPurple Purple Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Pink Pink Black Black Black Black Orange Orange Black Black\nPurple Purple Orange Orange Black Black Orange Orange Black Black Black Black Gray Gray Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nPurple Purple Orange Orange Black Black Orange Orange Black Black Black Black Gray Gray Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nOrange Orange Yellow Yellow Black Black Orange Orange Black Black Pink Pink Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nOrange Orange Yellow Yellow Black Black Orange Orange Black Black Pink Pink Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Orange Orange Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Orange Orange Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nPink Pink Black Black Purple Purple Black Black Orange Orange Green Green Black Black Black Black Orange Orange Black Black Black Black Orange Orange Blue Blue\nPink Pink Black Black Purple Purple Black Black Orange Orange Green Green Black Black Black Black Orange Orange Black Black Black Black Orange Orange Blue Blue\n\nOutput:\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue Orange Orange Blue Blue Red Red Red Red Purple Purple Red Red Red Red Brown Brown\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue Orange Orange Blue Blue Red Red Red Red Purple Purple Red Red Red Red Brown Brown\nPurple Purple Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nPurple Purple Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple\nBlack Black Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple\nBlack Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple\nBlack Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple\nBrown Brown Brown Brown Brown Brown Black Black Orange Orange Yellow Yellow Red Red Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Black Black Orange Orange Yellow Yellow Red Red Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Black Black Orange Orange Yellow Yellow Red Red Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Black Black Orange Orange Yellow Yellow Red Red Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Yellow Yellow Red Red Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Yellow Yellow Red Red Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange\nPurple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nPurple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nOrange Orange Pink Pink Pink Pink Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink Purple Purple Red Red Red Red Red Red Black Black\nOrange Orange Pink Pink Pink Pink Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink Purple Purple Red Red Red Red Red Red Black Black\nOrange Orange Yellow Yellow Yellow Yellow Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Orange Orange Blue Blue\nOrange Orange Yellow Yellow Yellow Yellow Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Orange Orange Blue Blue\nPink Pink Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Blue Blue\nPink Pink Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Blue Blue\nPink Pink Pink Pink Purple Purple Purple Purple Orange Orange Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue\nPink Pink Pink Pink Purple Purple Purple Purple Orange Orange Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nPink Pink Green Green Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray Orange Orange Black Black Black Black\nPink Pink Green Green Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray Orange Orange Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Brown Brown Black Black Green Green\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Brown Brown Black Black Green Green\nBlue Blue Pink Pink Orange Orange Black Black Orange Orange Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black\nBlue Blue Pink Pink Orange Orange Black Black Orange Orange Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Yellow Yellow Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black Black Black\nGreen Green Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nGreen Green Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nRed Red Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nRed Red Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Purple Purple Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Purple Purple Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Purple Purple Black Black Gray Gray Pink Pink Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Purple Purple Black Black Gray Gray Pink Pink Black Black Black Black Black Black Yellow Yellow\nPurple Purple Black Black Black Black Pink Pink Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Pink Pink Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Blue Blue Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Blue Blue Black Black Brown Brown Brown Brown Black Black\n\nOutput:\nPink Pink Green Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Green Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Green Green Green Green Gray Gray Gray Gray Gray Gray Orange Orange Blue Blue Gray Gray Orange Orange Orange Orange Orange Orange\nPink Pink Green Green Green Green Gray Gray Gray Gray Gray Gray Orange Orange Blue Blue Gray Gray Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Brown Brown Brown Brown Green Green\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Brown Brown Brown Brown Green Green\nBlue Blue Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Green Green Green Green Purple Purple Blue Blue Green Green Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple\nBlue Blue Blue Blue Blue Blue Green Green Green Green Purple Purple Blue Blue Green Green Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple\nGreen Green Pink Pink Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple\nGreen Green Pink Pink Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple\nGreen Green Pink Pink Green Green Green Green Green Green Pink Pink Brown Brown Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Pink Pink Green Green Green Green Green Green Pink Pink Brown Brown Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Green Green Pink Pink Pink Pink Pink Pink Brown Brown Purple Purple Blue Blue Blue Blue Blue Blue Yellow Yellow\nRed Red Red Red Green Green Pink Pink Pink Pink Pink Pink Brown Brown Purple Purple Blue Blue Blue Blue Blue Blue Yellow Yellow\nPurple Purple Purple Purple Purple Purple Blue Blue Brown Brown Brown Brown Brown Brown Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Blue Blue Brown Brown Brown Brown Brown Brown Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Yellow Yellow\nPurple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Yellow Yellow\nPurple Purple Purple Purple Purple Purple Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Brown Brown Brown Brown Purple Purple\nPurple Purple Purple Purple Purple Purple Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Brown Brown Brown Brown Purple Purple\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Gray Gray Black Black Blue Blue Blue Blue Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Gray Gray Black Black Blue Blue Blue Blue Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Gray Gray Black Black Pink Pink Black Black Yellow Yellow Black Black Pink Pink Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Gray Gray Black Black Pink Pink Black Black Yellow Yellow Black Black Pink Pink Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Brown Brown Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Brown Brown Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Green Green Yellow Yellow Black Black Black Black Black Black Gray Gray Black Black Brown Brown Yellow Yellow Gray Gray Black Black Black Black Black Black\nYellow Yellow Green Green Yellow Yellow Black Black Black Black Black Black Gray Gray Black Black Brown Brown Yellow Yellow Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange 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 Orange Orange Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Brown Brown Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Orange Orange 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 Pink Pink Gray Gray Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Black Black Black Black Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Red Red Red Red Red Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue Red Red Red Red\nBlack Black Black Black Gray Gray Red Red Red Red Red Red Pink Pink Pink Pink Red Red Red Red Red Red Black Black Purple Purple Gray Gray\nBlack Black Black Black Gray Gray Red Red Red Red Red Red Pink Pink Pink Pink Red Red Red Red Red Red Black Black Purple Purple Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Purple Purple Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Purple Purple Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Yellow Yellow Purple Purple Purple Purple\nBlack Black Black Black Gray Gray Gray Gray Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Yellow Yellow Purple Purple Purple Purple\nYellow Yellow Green Green Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Black Black\nYellow Yellow Green Green Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Black Black\nYellow Yellow Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Brown Brown Yellow Yellow Gray Gray Gray Gray Gray Gray Brown Brown\nYellow Yellow Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Brown Brown Yellow Yellow Gray Gray Gray Gray Gray Gray Brown Brown\nYellow Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Gray Gray Gray Gray Brown Brown Yellow Yellow Gray Gray Gray Gray Gray Gray Brown Brown\nYellow Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Gray Gray Gray Gray Brown Brown Yellow Yellow Gray Gray Gray Gray Gray Gray Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Orange Orange Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Orange Orange Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Brown Brown Yellow Yellow\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Brown Brown Yellow Yellow\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Purple Purple Black Black Yellow Yellow\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Purple Purple Black Black Yellow Yellow\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Orange Orange Black Black Red Red Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Orange Orange Black Black Red Red Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Green Green Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Green Green Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Blue Blue 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 Blue Blue Red Red Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange Pink Pink Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Purple Purple Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Purple Purple Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Red Red Black Black Black Black Green Green Gray Gray Black Black Pink Pink Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Red Red Black Black Black Black Green Green Gray Gray Black Black Pink Pink Black Black Black Black Black Black Green Green Black Black\nBlack Black Red Red Pink Pink Black Black Black Black Black Black Pink Pink Purple Purple Blue Blue Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Red Red Pink Pink Black Black Black Black Black Black Pink Pink Purple Purple Blue Blue Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Orange Orange Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Orange Orange Black Black Yellow Yellow Gray Gray 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 Orange Orange Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Orange Orange 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 Brown Brown Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green\nGray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Orange Orange Black Black Purple Purple Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Orange Orange Black Black Purple Purple Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Purple Purple Purple Purple Yellow Yellow\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Purple Purple Purple Purple Yellow Yellow\nBlack Black Green Green Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Blue Blue Gray Gray Blue Blue\nBlack Black Green Green Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Blue Blue Gray Gray Blue Blue\nBlack Black Green Green Orange Orange Orange Orange Red Red Pink Pink Pink Pink Pink Pink Red Red Blue Blue Red Red Blue Blue Gray Gray Gray Gray\nBlack Black Green Green Orange Orange Orange Orange Red Red Pink Pink Pink Pink Pink Pink Red Red Blue Blue Red Red Blue Blue Gray Gray Gray Gray\nBlack Black Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Red Red Red Red Blue Blue Red Red Blue Blue Blue Blue Blue Blue\nBlack Black Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Red Red Red Red Blue Blue Red Red Blue Blue Blue Blue Blue Blue\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Red Red Red Red Red Red Blue Blue Red Red Red Red Red Red Pink Pink\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Red Red Red Red Red Red Blue Blue Red Red Red Red Red Red Pink Pink\nBlack Black Purple Purple Purple Purple Purple Purple Red Red Green Green Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Pink Pink Pink Pink Pink Pink\nBlack Black Purple Purple Purple Purple Purple Purple Red Red Green Green Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Pink Pink Pink Pink Pink Pink\nBlack Black Red Red Red Red Red Red Red Red Green Green Gray Gray Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Green Green Purple Purple\nBlack Black Red Red Red Red Red Red Red Red Green Green Gray Gray Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Green Green Purple Purple\nBlack Black Red Red Red Red Red Red Red Red Green Green Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Green Green Green Green\nBlack Black Red Red Red Red Red Red Red Red Green Green Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Green Green Green Green\nBlack Black Red Red Pink Pink Pink Pink Pink Pink Yellow Yellow Pink Pink Purple Purple Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red\nBlack Black Red Red Pink Pink Pink Pink Pink Pink Yellow Yellow Pink Pink Purple Purple Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red\nBlack Black Brown Brown Brown Brown Orange Orange Orange Orange Yellow Yellow Gray Gray Gray Gray Gray Gray Brown Brown Blue Blue Red Red Red Red Red Red\nBlack Black Brown Brown Brown Brown Orange Orange Orange Orange Yellow Yellow Gray Gray Gray Gray Gray Gray Brown Brown Blue Blue Red Red Red Red Red Red\nBlack Black Blue Blue Blue Blue Blue Blue Purple Purple Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Blue Blue Red Red Red Red Red Red\nBlack Black Blue Blue Blue Blue Blue Blue Purple Purple Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Blue Blue Red Red Red Red Red Red\nGray Gray Gray Gray Purple Purple Purple Purple Purple Purple Blue Blue Gray Gray Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Purple Purple Purple Purple Purple Purple Blue Blue Gray Gray Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange 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:\nYellow Yellow Orange Red Orange Red Yellow Pink Green Yellow\nPink Yellow Gray Green Pink Gray Gray Red Yellow Yellow\nPink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Yellow\nYellow Red Blue Blue Yellow Purple Yellow Yellow Blue Purple\nYellow Purple Gray Yellow Yellow Orange Yellow Yellow Purple Red\nYellow Yellow Green Pink Yellow Pink Yellow Yellow Yellow Green\nYellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Gray Purple\nGreen Yellow Purple Orange Green Yellow Pink Yellow Purple Yellow\nBlue Red Pink Green Yellow Green Purple Yellow Gray Orange\nYellow Pink Yellow Yellow Gray Yellow Blue Yellow Yellow Brown\n\nOutput:\nBrown Brown Orange Red Orange Red Brown Pink Green Brown\nPink Brown Gray Green Pink Gray Gray Red Brown Brown\nPink Brown Brown Brown Brown Brown Brown Brown Pink Brown\nBrown Red Blue Blue Brown Purple Brown Brown Blue Purple\nBrown Purple Gray Brown Brown Orange Brown Brown Purple Red\nBrown Brown Green Pink Brown Pink Brown Brown Brown Green\nBrown Brown Brown Blue Brown Brown Brown Brown Gray Purple\nGreen Brown Purple Orange Green Brown Pink Brown Purple Brown\nBlue Red Pink Green Brown Green Purple Brown Gray Orange\nBrown Pink Brown Brown Gray Brown Blue Brown Brown Brown\n\n\nExample 2\nInput:\nBrown Pink Yellow Orange Orange Yellow Orange Orange Brown Yellow\nPurple Pink Gray Purple Gray Orange Orange Orange Orange Pink\nOrange Yellow Gray Brown Orange Gray Orange Purple Orange Purple\nOrange Orange Orange Orange Pink Blue Gray Pink Orange Orange\nOrange Purple Orange Orange Orange Orange Blue Blue Brown Brown\nBlue Orange Orange Orange Gray Brown Gray Orange Purple Brown\nOrange Purple Blue Orange Yellow Orange Purple Gray Purple Orange\nOrange Yellow Orange Orange Purple Purple Orange Purple Orange Orange\nRed Purple Pink Yellow Pink Red Orange Orange Red Red\nRed Orange Orange Orange Pink Orange Purple Brown Orange Green\n\nOutput:\nBrown Pink Yellow Green Green Yellow Green Green Brown Yellow\nPurple Pink Gray Purple Gray Green Green Green Green Pink\nGreen Yellow Gray Brown Green Gray Green Purple Green Purple\nGreen Green Green Green Pink Blue Gray Pink Green Green\nGreen Purple Green Green Green Green Blue Blue Brown Brown\nBlue Green Green Green Gray Brown Gray Green Purple Brown\nGreen Purple Blue Green Yellow Green Purple Gray Purple Green\nGreen Yellow Green Green Purple Purple Green Purple Green Green\nRed Purple Pink Yellow Pink Red Green Green Red Red\nRed Green Green Green Pink Green Purple Brown Green Green\n\n\nExample 3\nInput:\nRed Orange Pink Pink Pink Pink Pink Green Yellow Pink\nPurple Red Pink Green Green Pink Purple Green Orange Orange\nOrange Brown Pink Pink Pink Pink Brown Yellow Brown Green\nGreen Blue Orange Purple Pink Pink Red Pink Orange Pink\nPurple Green Brown Green Pink Pink Pink Orange Pink Pink\nRed Orange Pink Pink Pink Pink Green Yellow Pink Yellow\nBlue Purple Pink Brown Pink Blue Pink Green Red Purple\nOrange Orange Pink Blue Pink Pink Red Orange Orange Blue\nPink Green Purple Blue Pink Pink Green Pink Pink Pink\nRed Blue Pink Orange Yellow Pink Pink Blue Green Gray\n\nOutput:\nRed Orange Gray Gray Gray Gray Gray Green Yellow Gray\nPurple Red Gray Green Green Gray Purple Green Orange Orange\nOrange Brown Gray Gray Gray Gray Brown Yellow Brown Green\nGreen Blue Orange Purple Gray Gray Red Gray Orange Gray\nPurple Green Brown Green Gray Gray Gray Orange Gray Gray\nRed Orange Gray Gray Gray Gray Green Yellow Gray Yellow\nBlue Purple Gray Brown Gray Blue Gray Green Red Purple\nOrange Orange Gray Blue Gray Gray Red Orange Orange Blue\nGray Green Purple Blue Gray Gray Green Gray Gray Gray\nRed Blue Gray Orange Yellow Gray Gray Blue Green Gray\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Orange Pink Green Brown Brown Blue Orange\nBrown Brown Pink Green Brown Brown Purple Brown Brown Brown\nPurple Gray Brown Purple Brown Brown Brown Brown Brown Brown\nPink Gray Brown Brown Brown Brown Brown Gray Gray Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Gray Yellow\nBrown Blue Brown Blue Purple Yellow Brown Pink Green Brown\nGray Green Blue Brown Brown Brown Pink Pink Brown Brown\nOrange Pink Brown Brown Blue Orange Orange Orange Brown Brown\nOrange Green Pink Brown Green Brown Blue Orange Brown Brown\nGreen Brown Pink Blue Green Brown Brown Brown Purple Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Orange Pink Green Red Red Blue Orange\nRed Red Pink Green Red Red Purple Red Red Red\nPurple Gray Red Purple Red Red Red Red Red Red\nPink Gray Red Red Red Red Red Gray Gray Blue\nRed Red Red Red Red Red Red Red Gray Yellow\nRed Blue Red Blue Purple Yellow Red Pink Green Red\nGray Green Blue Red Red Red Pink Pink Red Red\nOrange Pink Red Red Blue Orange Orange Orange Red Red\nOrange Green Pink Red Green Red Blue Orange Red Red\nGreen Red Pink Blue Green Red Red Red Purple Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue\nBlue Brown Brown Brown Brown Blue\nBlue Brown Brown Brown Brown Blue\nBlue Brown Brown Brown Brown Blue\nBlue Brown Brown Brown Brown Blue\nBlue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue\nBlue Green Green Green Green Blue\nBlue Green Green Green Green Blue\nBlue Green Green Green Green Blue\nBlue Green Green Green Green Blue\nBlue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue\nBlue Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Blue\nBlue 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue\nBlue Red Red Red Red Blue\nBlue Red Red Red Red Blue\nBlue Red Red Red Red Blue\nBlue Red Red Red Red Blue\nBlue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Black Brown Pink Black Yellow Pink\nOrange Green Green Brown Orange Pink Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPurple Black Brown Pink Black Yellow Pink\nOrange Green Green Brown Orange Pink Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Orange Gray\nBrown Black Black Orange Black Black Orange\n\n\nExample 2\nInput:\nPink Green Red Blue Yellow Orange\nBrown Black Orange Red Gray Blue\nBrown Gray Brown Purple Blue Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nPink Green Red Blue Yellow Orange\nBrown Black Orange Red Gray Blue\nBrown Gray Brown Purple Blue Black\nBlack Gray Black Brown Yellow Black\nBlack Black Black Green Gray Yellow\nOrange Black Green Yellow Black Black\n\n\nExample 3\nInput:\nGreen Black Red Yellow Yellow Brown Gray\nPink Gray Orange Pink Purple Orange Blue\nGreen Orange Yellow Purple Blue 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:\nGreen Black Red Yellow Yellow Brown Gray\nPink Gray Orange Pink Purple Orange Blue\nGreen Orange Yellow Purple Blue Black Black\nBlack Black Black Brown Yellow Black Black\nOrange Gray Black Orange Brown Black Yellow\nBlack Black Green Black Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Green Gray Black Pink\nPink Blue Brown Gray Brown\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```\nPink Green Gray Black Pink\nPink Blue Brown Gray Brown\nOrange Yellow Black Gray Black\nOrange Black Gray Black 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\nBlack Black Black Brown Brown Brown Yellow Black\nBlack Black Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Blue Brown Brown Black\nBlack Brown Brown Blue Yellow Yellow Brown Black\nBlack Brown Brown Brown Yellow Brown Brown Black\nBlack Yellow Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Green Orange Black Black\nBlack Orange Green Orange Green Black Black\nBlack Green Orange Orange Orange Green Black\nBlack Black Green Orange Green Orange Black\nBlack Black Orange Green Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Pink Pink Pink Black\nBlack Pink Pink Gray Gray Gray Pink Pink Black\nBlack Gray Pink Pink Gray Pink Pink Gray Black\nBlack Black Pink Gray Pink Gray Pink Black Black\nBlack Pink Gray Gray Black Gray Gray Pink Black\nBlack 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Brown Brown Black Black\nBlack Gray Gray Brown Brown Brown Gray Gray Black\nBlack Gray Brown Gray Black Gray Brown Gray Black\nBlack Red Gray Gray Black Gray Gray Red Black\nBlack Red Gray Red Red Red Gray Red Black\nBlack Red Gray Brown Red Brown Gray Red Black\nBlack Gray Gray Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Yellow Black Black Black Black Black Black Black\nYellow Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow 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 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 Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Yellow\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Green 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\nGreen Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Green Green\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 Green Black Black Black Black Black Black Black Black\nGreen Black Black Black Green Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Green Black Green Black Black Black Black Black\nGreen Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Green Black Black Black Green\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Green Black Green Black Black\nBlack Black Black Black Black Black Green Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nGray Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Gray Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\n\nOutput:\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black 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 Black Black Black 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 Black Black Black 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 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 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 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 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 Black Black Black\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 Black Black Black\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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 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 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Purple Pink Pink\nBlack Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Green Green Black Green Green\nBlack Black Black Black Black Black Green Black Green 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 Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Brown Purple Purple\nBlack Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Red Red Black Red Red\nBlack Black Black Black Black Black Red Black Red 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\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 Purple Black\nBlack Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow\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 Black 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 Blue Black Black Black Black Black Black\nBlack Blue Blue Blue 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Orange Yellow Orange Gray Black Black\nBlack Black Black Orange Orange Yellow Orange Orange Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Pink Blue Pink Brown Black Black\nBlack Black Black Pink Pink Blue Pink Pink Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Yellow Yellow Black Black Gray Gray Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Gray Gray Yellow Yellow Black Black Gray Gray Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Blue Blue Black Black Gray Gray Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Gray Gray Blue Blue Black Black Gray Gray Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Blue Blue Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Blue Blue Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Orange Orange Black Black\nBlack Black Black Black Black 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 Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple 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 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 Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Brown Brown Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Brown Brown Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue 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 Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Purple Purple Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Purple Purple Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Pink Pink 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\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 Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Red Purple Orange\nGray Blue Red Brown Brown\nYellow Red Red Brown Purple\nBrown Gray Gray Orange Orange\nGray Gray Blue Blue Orange\n\nOutput:\nOrange Brown Purple Orange Orange Pink Gray Red Purple Orange\nPurple Brown Brown Orange Blue Gray Blue Red Brown Brown\nRed Red Red Gray Blue Yellow Red Red Brown Purple\nGray Blue Red Gray Gray Brown Gray Gray Orange Orange\nPink Gray Yellow Brown Gray Gray Gray Blue Blue Orange\n\n\nExample 2\nInput:\nRed Yellow Purple\nPink Blue Blue\nBlue Blue Pink\n\nOutput:\nPurple Blue Pink Red Yellow Purple\nYellow Blue Blue Pink Blue Blue\nRed Pink Blue Blue Blue Pink\n\n\nExample 3\nInput:\nBrown Brown Pink\nOrange Orange Pink\nOrange Orange Green\n\nOutput:\nPink Pink Green Brown Brown Pink\nBrown Orange Orange Orange Orange Pink\nBrown Orange Orange Orange Orange Green\n\n\nHere is the input grid for the test example:\nInput:\nOrange Purple Yellow Yellow\nPink Purple Orange Yellow\nOrange Orange Pink Pink\nBlue 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```\nYellow Yellow Pink Blue Orange Purple Yellow Yellow\nYellow Orange Pink Blue Pink Purple Orange Yellow\nPurple Purple Orange Blue Orange Orange Pink Pink\nOrange Pink Orange 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 Gray Black Black Black Black Black Pink Black\nYellow Black Blue Orange Black Black Orange Black Black Black\nBlack Black Black Purple Black Black Orange Black Black Black\nPurple Black Black Pink Black Orange Black Yellow Orange Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Orange Purple Black Black Black Red Black Black Black\nBlack Black Black Yellow Black Black Gray Black Black Orange\nBlack Pink Black Black Black Blue Black Black Black Purple\nRed Yellow Orange Black Black Black Brown Black Orange Black\nBlack Black Black Black Black Black Red Pink Black Pink\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Pink Black Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Red Black Red Black Orange\nBlack Yellow Black Pink Black Black Purple Black Brown Brown\nPurple Blue Black Black Black Purple Black Black Black Black\nBlack Black Black Yellow Black Black Black Pink Gray Black\nRed Black Black Black Yellow Purple Black Black Brown Black\nBlack Black Blue Black Black Black Black Pink Green Black\nBlack Black Black Black Black Black Green Pink Green Black\nBlack Purple Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Black Black Purple Black Black\nOrange Pink Blue Black Black Black Yellow Green Blue Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nYellow Black Black Gray Pink Blue Black Red Black Black\nBlack Orange Black Black Black Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Gray Black Black Gray\nYellow Brown Black Black Black Black Black Black Green Black\nGray Yellow Brown Black Gray Black Black Black Yellow Green\nBlack Black Pink Black Pink Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray Gray Black Black Black Black Gray Black\nBlack Blue Black Black Black Black Black Purple Black Orange\nBlack Green Black Green Black Black Black Black Black Black\nBlue Black Black Brown Black Black Black Black Purple Black\nOrange Black Black Black Black Blue Black Black Yellow Black\nBlack Brown Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Gray Yellow Black Orange\nBlue Purple Pink Black Black Black Pink Red Black Black\nBlack Black Red Black Black Black Black Black Black Gray\nBlack Black Green Black Black Black Pink Black Gray Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Blue Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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\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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Purple 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\nBlack Black Blue Blue 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 Green Green Blue Black Black Green Green Green Black\nBlack Green 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 Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue 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 Blue Blue Blue Black Black Green Green Green Black\nBlack Blue 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 Purple Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Pink Pink Black\nBlack Black Black Black Black Black Black 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 Blue Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Green Green Orange Black Black Black Black\nBlack Black Yellow Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black\nBlack Blue Blue Black Black Black Red Black Black Black Black\nBlack Black Blue Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Blue Blue Blue Black Black Black Black\nBlack Black Yellow Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black\nBlack Blue Blue Black Black Black Red Black Black Black Black\nBlack Black Blue Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Orange Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Yellow\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Brown Black Black Black Black Black Black Orange\nBlack Black Brown Black Black Black Black Black Black Orange\nBlack Black Brown Black Black Black Black Black Black Orange\nBlack Black Brown Black Black Black Purple Black Black Yellow\nBlack Black Brown Black Black Gray Purple Black Black Yellow\nBlack Black Brown Black Black Gray Purple Black Black Brown\nBlack Black Brown Black Black Gray Orange Black Black Brown\nBlack Black Brown Black Orange Gray Orange Black Black Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nPink Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Blue Black Black Black Black Black Black Black Brown\nBlack Blue Black Black Black Black Pink Black Black Brown\nPink Blue Black Black Black Black Pink Black Purple Brown\nPink Blue Black Black Black Black Pink Black Purple Brown\nPink Blue Black Black Black Black Pink Black Purple Brown\nPink Blue Black Black Black Black Pink Black Brown Brown\nPink Blue Black Black Black Black Pink Black Brown Brown\nPink Blue Black Black Black Black Red Black Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Purple Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange 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 Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Blue Black Black\nBlack Black Black Yellow Black Black Black Blue Black Black\nBlack Black Black Yellow Black Black Black Blue Black Black\nGreen Black Black Yellow Black Purple Black Blue Black Black\nGreen Black Orange Yellow Black Purple Black Blue Black Black\nGreen Black Orange Yellow Orange Purple Black Blue Black Black\nGreen Black Orange Yellow Orange Gray Black Blue Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Gray Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Blue Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Blue Black Black Purple Black\nBlack Black Gray Black Pink Pink Black Black Purple Black\nBlack Black Gray Black Pink Pink Blue Black Brown Black\nBlack Black Gray Black Pink Pink Blue Black Brown Black\nBlack Black Gray Black Brown Pink Blue Black Brown Black\nBlack Black Gray Black Brown Gray Blue Black 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\nBlack Pink Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Black\nPink Pink Pink Pink Black\nPink Pink Pink Pink Black\nPink Pink Pink Pink Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Yellow Black Black\nBlack Black Black Black Black\nBlack 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBrown Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBrown Brown Brown Black Black\nBrown Brown Brown Black Black\nBrown Brown Brown Black Black\nBrown Brown Brown Black Black\nBrown Brown Brown Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Black Black Black\nBlack Black Black 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```\nPink Pink Pink Black Black\nPink Pink Pink Black Black\nPink Pink Pink Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Gray Orange Blue Purple\nBlack Black Black Black Black Black Black Black Black Black Black Gray Red Green Brown\nBlack Black Black Black Black Black Black Black Black Black Black Red Yellow Green Blue\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Red Gray Gray Orange Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Red Orange Orange Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Green Orange Blue Yellow Orange Black Black Black Black Black Black Black\nBlack Black Black Black Green Purple Pink Blue Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Yellow Yellow Blue Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Green Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Purple Orange Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Pink Blue Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Yellow Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Purple Brown Orange Black Black Black\nBlack Black Black Black Black Black Blue Orange Brown Brown Purple Black Black Black\nBlack Black Black Black Black Black Blue Gray Red Red Red Black Black Black\nBlack Black Black Black Black Black Gray Gray Red Blue Gray Black Black Black\nBlack Black Black Black Black Black Gray Brown Yellow Gray Pink 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 Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Blue Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Pink Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Yellow Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue\nRed Red Red Red\nRed Red Red Red\nBlue Blue Blue Blue\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nPurple Purple Purple\nGreen Green Green\nPurple Purple Purple\n\nOutput:\nBrown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nGreen Green Green Green Green\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Green Green\nBlue Blue Blue Blue Blue\nGreen Green Green Green Green\nBlue Blue Blue Blue Blue\nBlue 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```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Purple Purple Black Black Black Purple Black Pink\nBlack Black Green Black Green Black Black Black Black Green Black Black Black Black Purple Purple Pink\nBlack Black Green Black Black Yellow Black Black Black Black Purple Purple Purple Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Blue Gray Black Purple Black Black Black Black\nPink Black Black Purple Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Yellow 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 Black Black Black\nBlack Black Black Orange Black Brown Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Yellow Purple Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Orange Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Purple Purple Black Black Black Purple Black Pink\nBlack Black Green Black Green Black Black Black Black Green Black Black Black Black Purple Purple Pink\nBlack Black Green Black Black Yellow Black Black Black Black Purple Purple Purple Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Blue Gray Black Purple Black Black Black Black\nPink Black Black Purple Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Yellow 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 Black Black Black\nBlack Black Black Orange Black Brown Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Brown Black Black Black Black Black Orange Blue Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Brown\nGray Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Brown Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Brown Black Black Black Black Black Orange Blue Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Brown\nGray Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Black Purple Purple Purple Brown Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Red Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Green Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Red Black Black Black Orange Red Black Black Black Black\n\nOutput:\nPink Black Black Black Black Black Black Purple Brown Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Red Black Black Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Black Purple Purple Purple Black Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Black Purple Purple Purple Brown Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Red Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Green Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Red Black Black Black Orange Red Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Yellow Black Blue Purple Purple Pink Black Black Black Black\nBlack 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\nOrange Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Brown Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black\nPink Black Black Black 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 Pink Purple Purple Blue Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Yellow Black Blue Purple Purple Pink Black Black Black Black\nBlack 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\nOrange Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Brown Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Brown Yellow Gray Orange Orange Orange Brown Yellow Gray Orange Orange Orange Brown Yellow Gray Orange Orange Orange Brown Yellow Gray Orange Orange Orange Brown Yellow\nGray Pink Brown Green Pink Orange Gray Pink Brown Green Pink Orange Gray Pink Brown Green Pink Orange Gray Pink Brown Green Pink Orange Gray Pink Brown Green\nYellow Green Purple Purple Brown Brown Yellow Green Purple Purple Brown Brown Yellow Green Purple Purple Brown Brown Yellow Green Purple Purple Brown Brown Yellow Green Purple Purple\nBrown Brown Purple Purple Green Yellow Brown Brown Purple Purple Green Yellow Brown Brown Purple Purple Green Yellow Brown Brown Purple Purple Green Yellow Brown Brown Purple Purple\nOrange Pink Green Brown Pink Gray Orange Pink Green Brown Pink Gray Orange Pink Green Brown Pink Gray Orange Pink Green Brown Pink Gray Orange Pink Green Brown\nOrange Gray Yellow Brown Orange Orange Orange Gray Yellow Brown Orange Orange Orange Gray Yellow Brown Orange Orange Orange Gray Yellow Brown Orange Orange Orange Gray Yellow Brown\nOrange Orange Brown Yellow Gray Orange Orange Orange Brown Yellow Gray Orange Orange Orange Brown Yellow Gray Orange Orange Orange Brown Yellow Gray Orange Orange Orange Brown Yellow\nGray Pink Brown Green Pink Orange Gray Pink Brown Green Pink Orange Gray Pink Brown Green Pink Orange Gray Pink Brown Green Pink Orange Gray Pink Brown Green\nYellow Green Purple Purple Brown Brown Yellow Green Purple Purple Brown Brown Yellow Green Purple Purple Brown Brown Yellow Green Purple Purple Brown Brown Yellow Green Purple Purple\nBrown Brown Purple Purple Green Yellow Brown Brown Purple Purple Green Yellow Brown Brown Purple Purple Green Yellow Brown Brown Purple Purple Green Yellow Brown Brown Purple Purple\nOrange Pink Green Brown Pink Gray Orange Pink Green Brown Pink Gray Orange Pink Green Brown Pink Gray Orange Pink Green Brown Pink Gray Orange Pink Green Brown\nOrange Gray Yellow Brown Orange Orange Orange Gray Yellow Brown Orange Orange Orange Gray Yellow Brown Orange Orange Orange Gray Yellow Brown Orange Orange Orange Gray Yellow Brown\nOrange Orange Brown Yellow Gray Orange Orange Orange Brown Yellow Gray Orange Orange Orange Brown Yellow Gray Orange Orange Orange Brown Yellow Gray Orange Orange Orange Brown Yellow\nGray Pink Brown Green Pink Orange Gray Pink Brown Green Pink Orange Gray Pink Brown Green Pink Orange Gray Pink Brown Green Pink Orange Gray Pink Brown Green\nYellow Green Purple Purple Brown Brown Yellow Green Purple Purple Brown Brown Yellow Green Purple Purple Brown Brown Yellow Green Purple Purple Brown Brown Yellow Green Purple Purple\nBrown Brown Purple Purple Green Yellow Brown Brown Purple Purple Green Yellow Brown Brown Purple Purple Green Yellow Brown Brown Purple Purple Green Yellow Brown Brown Purple Purple\nOrange Pink Green Brown Pink Gray Orange Pink Green Brown Pink Gray Orange Pink Green Brown Pink Gray Orange Pink Green Brown Pink Gray Orange Pink Green Brown\nOrange Gray Yellow Brown Orange Orange Orange Gray Yellow Brown Orange Orange Orange Gray Yellow Brown Orange Orange Orange Gray Yellow Brown Orange Orange Orange Gray Yellow Brown\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nRed Gray Gray Purple Orange Red Gray Gray Purple Orange Red Gray Gray Purple Orange Red Gray\nBrown Orange Yellow Brown Purple Brown Orange Yellow Brown Purple Brown Orange Yellow Brown Purple Brown Orange\nBrown Brown Green Blue Blue Brown Brown Green Blue Blue Brown Brown Green Blue Blue Brown Brown\nBrown Orange Yellow Brown Purple Brown Orange Yellow Brown Purple Brown Orange Yellow Brown Purple Brown Orange\nRed Gray Gray Purple Orange Red Gray Gray Purple Orange Red Gray Gray Purple Orange Red Gray\nRed Gray Gray Purple Orange Red Gray Gray Purple Orange Red Gray Gray Purple Orange Red Gray\nBrown Orange Yellow Brown Purple Brown Orange Yellow Brown Purple Brown Orange Yellow Brown Purple Brown Orange\nBrown Brown Green Blue Blue Brown Brown Green Blue Blue Brown Brown Green Blue Blue Brown Brown\nBrown Orange Yellow Brown Purple Brown Orange Yellow Brown Purple Brown Orange Yellow Brown Purple Brown Orange\nRed Gray Gray Purple Orange Red Gray Gray Purple Orange Red Gray Gray Purple Orange Red Gray\nRed Gray Gray Purple Orange Red Gray Gray Purple Orange Red Gray Gray Purple Orange Red Gray\nBrown Orange Yellow Brown Purple Brown Orange Yellow Brown Purple Brown Orange Yellow Brown Purple Brown Orange\nBrown Brown Green Blue Blue Brown Brown Green Blue Blue Brown Brown Green Blue Blue Brown Brown\nBrown Orange Yellow Brown Purple Brown Orange Yellow Brown Purple Brown Orange Yellow Brown Purple Brown Orange\nRed Gray Gray Purple Orange Red Gray Gray Purple Orange Red Gray Gray Purple Orange Red Gray\nRed Gray Gray Purple Orange Red Gray Gray Purple Orange Red Gray Gray Purple Orange Red Gray\nBrown Orange Yellow Brown Purple Brown Orange Yellow Brown Purple Brown Orange Yellow Brown Purple Brown Orange\nBrown Brown Green Blue Blue Brown Brown Green Blue Blue Brown Brown Green Blue Blue Brown Brown\nBrown Orange Yellow Brown Purple Brown Orange Yellow Brown Purple Brown Orange Yellow Brown Purple Brown Orange\nRed Gray Gray Purple Orange Red Gray Gray Purple Orange Red Gray Gray Purple Orange Red Gray\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nYellow Yellow Blue Purple Blue Blue Brown Yellow Yellow Blue Purple Blue Blue Brown Yellow Yellow Blue\nYellow Blue Purple Blue Blue Blue Brown Yellow Blue Purple Blue Blue Blue Brown Yellow Blue Purple\nOrange Purple Orange Blue Blue Blue Red Orange Purple Orange Blue Blue Blue Red Orange Purple Orange\nBrown Brown Brown Blue Yellow Blue Red Brown Brown Brown Blue Yellow Blue Red Brown Brown Brown\nPurple Brown Pink Blue Pink Orange Yellow Purple Brown Pink Blue Pink Orange Yellow Purple Brown Pink\nOrange Orange Pink Brown Pink Brown Blue Orange Orange Pink Brown Pink Brown Blue Orange Orange Pink\nOrange Orange Blue Brown Brown Orange Blue Orange Orange Blue Brown Brown Orange Blue Orange Orange Blue\nYellow Yellow Blue Purple Blue Blue Brown Yellow Yellow Blue Purple Blue Blue Brown Yellow Yellow Blue\nYellow Blue Purple Blue Blue Blue Brown Yellow Blue Purple Blue Blue Blue Brown Yellow Blue Purple\nOrange Purple Orange Blue Blue Blue Red Orange Purple Orange Blue Blue Blue Red Orange Purple Orange\nBrown Brown Brown Blue Yellow Blue Red Brown Brown Brown Blue Yellow Blue Red Brown Brown Brown\nPurple Brown Pink Blue Pink Orange Yellow Purple Brown Pink Blue Pink Orange Yellow Purple Brown Pink\nOrange Orange Pink Brown Pink Brown Blue Orange Orange Pink Brown Pink Brown Blue Orange Orange Pink\nOrange Orange Blue Brown Brown Orange Blue Orange Orange Blue Brown Brown Orange Blue Orange Orange Blue\nYellow Yellow Blue Purple Blue Blue Brown Yellow Yellow Blue Purple Blue Blue Brown Yellow Yellow Blue\nYellow Blue Purple Blue Blue Blue Brown Yellow Blue Purple Blue Blue Blue Brown Yellow Blue Purple\nOrange Purple Orange Blue Blue Blue Red Orange Purple Orange Blue Blue Blue Red Orange Purple Orange\nBrown Brown Brown Blue Yellow Blue Red Brown Brown Brown Blue Yellow Blue Red Brown Brown Brown\nPurple Brown Pink Blue Pink Orange Yellow Purple Brown Pink Blue Pink Orange Yellow Purple Brown Pink\nOrange Orange Pink Brown Pink Brown Blue Orange Orange Pink Brown Pink Brown Blue Orange Orange Pink\nOrange Orange Blue Brown Brown Orange Blue Orange Orange Blue Brown Brown Orange Blue Orange Orange Blue\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nGray Yellow Purple Brown Purple Yellow Gray Gray Yellow Purple Brown Purple Yellow Gray Gray Yellow Purple Brown Purple\nOrange Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown\nOrange Red Brown Brown Brown Red Orange Orange Red Brown Brown Brown Red Orange Orange Red Brown Brown Brown\nPink Red Brown Green Brown Red Pink Pink Red Brown Green Brown Red Pink Pink Red Brown Green Brown\nBrown Green Yellow Yellow Yellow Green Brown Brown Green Yellow Yellow Yellow Green Brown Brown Green Yellow Yellow Yellow\nPurple Purple Purple Pink Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Pink Purple\nBlue Purple Pink Pink Pink Purple Blue Blue Purple Pink Pink Pink Purple Blue Blue Purple Pink Pink Pink\nGray Yellow Purple Brown Purple Yellow Gray Gray Yellow Purple Brown Purple Yellow Gray Gray Yellow Purple Brown Purple\nOrange Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown\nOrange Red Brown Brown Brown Red Orange Orange Red Brown Brown Brown Red Orange Orange Red Brown Brown Brown\nPink Red Brown Green Brown Red Pink Pink Red Brown Green Brown Red Pink Pink Red Brown Green Brown\nBrown Green Yellow Yellow Yellow Green Brown Brown Green Yellow Yellow Yellow Green Brown Brown Green Yellow Yellow Yellow\nPurple Purple Purple Pink Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Pink Purple\nBlue Purple Pink Pink Pink Purple Blue Blue Purple Pink Pink Pink Purple Blue Blue Purple Pink Pink Pink\nGray Yellow Purple Brown Purple Yellow Gray Gray Yellow Purple Brown Purple Yellow Gray Gray Yellow Purple Brown Purple\nOrange Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown\nOrange Red Brown Brown Brown Red Orange Orange Red Brown Brown Brown Red Orange Orange Red Brown Brown Brown\nPink Red Brown Green Brown Red Pink Pink Red Brown Green Brown Red Pink Pink Red Brown Green Brown\nBrown Green Yellow Yellow Yellow Green Brown Brown Green Yellow Yellow Yellow Green Brown Brown Green Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Blue Blue Black Black Blue Blue 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Green Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Blue Blue Green Green Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Blue Blue Green Green Black Black Blue Blue 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 Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black 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 Brown Brown Blue Blue 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 Blue Blue Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Blue Blue Purple Purple Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Purple Purple Blue Blue Purple Purple Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\n\nOutput:\nYellow Yellow Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\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 Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown Red Red Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown Red Red Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nOrange Orange Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black\nOrange Orange Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue 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 Blue Blue 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 Blue Blue Blue Blue Blue Blue Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue 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 Blue Blue 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 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 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 Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue 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 Blue Blue 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 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 Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown Red Red Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown Red Red Black Black\nBlack Black Blue Blue Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Blue Blue Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black\nBlack Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black 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 Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple 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 Purple Purple Purple Purple 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 Purple Purple Purple Purple Black Black Black Black Black Black Pink Pink Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Pink Pink Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black 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 Gray Gray Black 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 Orange Orange Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green 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 Green Green 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 Blue Blue Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black 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 Green Green Yellow Yellow Yellow Yellow Black Black Black Black Gray Gray Gray Gray Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow Black Black Black Black Gray Gray Gray Gray Red Red Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Purple Purple 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 Gray Gray 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray Gray Gray Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Gray Gray Black Black Black Black Black Black Black Black Orange Orange 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 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green 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 Green Green Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow 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 Green Green Green Green 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 Green Green Green Green Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red 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\nBlack Black Red Red 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\nBlack Black Red Red Brown Brown Pink Pink 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 Brown Brown Pink Pink 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 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\nBlack Black Red Red 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\nBlack Black Black Black Green Green Black Black Black Black Yellow Yellow Black Black Black Black Black Black Brown Brown Orange Orange Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Yellow Yellow Black Black Black Black Black Black Brown Brown Orange Orange Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green 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 Brown Brown Orange Orange 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 Brown Brown Orange Orange Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Brown Brown Pink Pink Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Brown Brown Pink Pink Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red 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\nBlack Black Red Red 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\nBlack Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Orange Orange Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Orange Orange Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Green Green Green Green Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Green Green Green Green Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Orange Orange Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Orange Orange Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Black Orange Orange Orange Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Red Red Red Black Blue Blue Black Black\nGreen Green Brown Brown Brown Brown Black Blue Black Purple\nGreen Green Black Black Gray Gray Gray Blue Purple Purple\nGreen Green Black Black Gray Black Black Blue Black Black\nGreen Green Black Black Pink Yellow Yellow Black Black Black\nBlack Black Black Black Pink Yellow Yellow Green Green Green\nBlack Black Pink Pink Pink Yellow Yellow Black Green Green\nBlack Black Black Black Black Black Black Green Green Green\n\nOutput:\nRed Red Black Orange Orange Orange Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nRed Red Black Blue Blue Black Black Black Black Black\nBrown Brown Brown Black Blue Black Purple Black Black Black\nBlack Gray Gray Gray Blue Purple Purple Black Black Black\nBlack Gray Black Black Blue Black Black Black Black Black\nBlack Pink Yellow Yellow Black Black Black Black Black Black\nBlack Pink Yellow Yellow Green Green Green Black Black Black\nPink Pink Yellow Yellow Black Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Blue Blue Blue Black Black\nBlack Gray Gray Black Black Blue Blue Blue Black Black\nBlack Gray Gray Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Brown Brown Black Red Red Red Orange Black Black\nBlack Yellow Black Black Purple Red Black Orange Black Black\nYellow Yellow Yellow Yellow Purple Green Green Green Green Black\nBlack Yellow Green Green Purple Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Red Red Red Orange Black Black Black Black Black\nBlack Purple Red Black Orange Black Black Black Black Black\nYellow Purple Green Green Green Green Black Black Black Black\nGreen Purple Black Black Black Black Black Black Black Black\nGreen 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 Green Green Black Black Black Gray Gray Black\nBlack Green Green Green Green Black Black Gray Gray Black\nBlack Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Black Black Red Black Black Black\nPink Pink Black Black Black Purple Orange Black Black Green\nPink Yellow Black Black Yellow Purple Orange Green Green Green\nBlack Yellow Yellow Yellow Yellow Purple Orange Black Blue Green\nBlack Yellow Brown Black Yellow Black Blue Blue Blue Green\nBlack Black Brown Brown Brown Brown Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Gray Gray Black\nBlack Green Green Green Green Black Black Gray Gray Black\nBlack Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Red\nBlack Black Black Pink Pink Black Black Black Purple Orange\nBlack Black Black Pink Yellow Black Black Yellow Purple Orange\nBlack Black Black Black Yellow Yellow Yellow Yellow Purple Orange\nBlack Black Black Black Yellow Brown Black Yellow Black Blue\nBlack Black Black Black Black Brown Brown Brown Brown Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Green Black Black Black Green Green Brown Brown\nBlue Black Green Black Black Black Green Green Purple Black\nGray Black Black Black Yellow Black Green Green Black Black\nGray Gray Black Black Yellow Black Black Black Black Black\nGray Gray Black Black Yellow Orange Orange Black Black Black\nGray Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Red Red Black Orange Orange Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Green Black Black Green Green Brown Brown\nBlack Black Blue Green Black Black Green Green Purple Black\nBlack Black Gray Black Black Black Green Green Black Black\nBlack Black Gray Gray Black Black Black Yellow Black Black\nBlack Black Gray Gray Black Black Black Yellow Orange Orange\nBlack Black Gray Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Red Red Black Orange Orange\nBlack Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow 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 Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black\n\n\nExample 2\nInput:\nGray Gray Gray Black Gray Gray Black\nGray Gray Gray Black Orange Blue Blue\nGray Gray Gray Black Gray Blue Blue\nGray Gray Gray Black Black Blue Blue\nBlack Black Black Black Black Blue Blue\n\nOutput:\nYellow Yellow Yellow Black Yellow Yellow Black\nYellow Yellow Yellow Black Orange Blue Blue\nYellow Yellow Yellow Black Yellow Blue Blue\nYellow Yellow Yellow Black Black Blue Blue\nBlack Black Black Black Black Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Blue Blue Black\nBlack Black Black Blue Blue Black\nBlack Black Black Blue Blue Black\nBlack Black Black Blue Blue Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Orange Orange Black\nBlack Black Black Orange Orange Black\nBlack Black Black Orange Orange Black\nBlack Black Black Orange Orange Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Blue Brown Black Black Black\nBlack Blue Brown Black Black Black\nBlack Blue Brown Black Black Black\nBlack Blue Brown Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Orange Pink Black Black Black\nBlack Orange Pink Black Black Black\nBlack Orange Pink Black Black Black\nBlack Orange Pink Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Green Purple Black Black Black Black\nRed Yellow Green Black Black Black Black Black\nRed Brown Brown Black Black Black Black Black\nRed Red Brown Black Black Black Black Black\nRed Red Brown Black Black Black Black Black\nRed Brown Brown Black Black Black Black Black\nRed Yellow Green Black Black Black Black Black\nYellow Yellow Green Purple Black Black Black Black\nPink Green Purple Gray Red Brown Yellow Orange\n\nOutput:\nYellow Yellow Green Purple Purple Green Yellow Yellow\nRed Yellow Green Black Gray Green Yellow Red\nRed Brown Brown Black Gray Brown Brown Red\nRed Red Brown Black Gray Brown Red Red\nRed Red Brown Black Gray Brown Red Red\nRed Brown Brown Black Gray Brown Brown Red\nRed Yellow Green Black Gray Green Yellow Red\nYellow Yellow Green Purple Purple Green Yellow Yellow\nPink Green Purple Gray Red Brown Yellow Orange\n\n\nExample 2\nInput:\nGreen Blue Purple Black Black Black Black\nGreen Gray Yellow Black Black Black Black\nBlack Green Purple Black Black Black Black\nBlack Green Purple Black Black Black Black\nBlack Green Purple Black Black Black Black\nGreen Gray Yellow Black Black Black Black\nGreen Blue Purple Black Black Black Black\nYellow Red Brown Green Pink Orange Purple\n\nOutput:\nGreen Blue Purple Black Purple Blue Green\nGreen Gray Yellow Black Yellow Gray Green\nBlack Green Purple Black Purple Green Yellow\nBlack Green Purple Black Purple Green Yellow\nBlack Green Purple Black Purple Green Yellow\nGreen Gray Yellow Black Yellow Gray Green\nGreen Blue Purple Black Purple Blue Green\nYellow Red Brown Green Pink Orange Purple\n\n\nExample 3\nInput:\nPink Pink Pink Orange Black Black Black Black Black\nRed Red Red Purple Black Black Black Black Black\nGray Orange Green Blue Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black\nGray Orange Green Blue Black Black Black Black Black\nRed Red Red Purple Black Black Black Black Black\nPink Pink Pink Orange Black Black Black Black Black\nBrown Gray Yellow Purple Orange Pink Red Green Blue\n\nOutput:\nPink Pink Pink Orange Black Orange Pink Pink Pink\nRed Red Red Purple Black Purple Red Red Red\nGray Orange Green Blue Black Blue Green Orange Gray\nBlack Black Purple Purple Black Purple Purple Gray Brown\nGray Orange Green Blue Black Blue Green Orange Gray\nRed Red Red Purple Black Purple Red Red Red\nPink Pink Pink Orange Black Orange Pink Pink Pink\nBrown Gray Yellow Purple Orange Pink Red Green Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Purple Black Black Black Black Black\nBlue Gray Purple Purple Black Black Black Black Black\nBlue Pink Purple Blue Black Black Black Black Black\nBlue Pink Green Yellow Black Black Black Black Black\nPink Pink Blue Black Black Black Black Black Black\nBlue Pink Green Yellow Black Black Black Black Black\nBlue Pink Purple Blue Black Black Black Black Black\nBlue Gray Purple Purple Black Black Black Black Black\nBlack Black Blue Purple Black Black Black Black Black\nGray Red Purple Yellow Orange Pink Brown Blue Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Purple Black Purple Blue Red Gray\nBlue Gray Purple Purple Black Purple Purple Gray Blue\nBlue Pink Purple Blue Black Blue Purple Pink Blue\nBlue Pink Green Yellow Black Yellow Green Pink Blue\nPink Pink Blue Black Black Yellow Blue Pink Pink\nBlue Pink Green Yellow Black Yellow Green Pink Blue\nBlue Pink Purple Blue Black Blue Purple Pink Blue\nBlue Gray Purple Purple Black Purple Purple Gray Blue\nBlack Black Blue Purple Black Purple Blue Red Gray\nGray Red Purple Yellow Orange Pink Brown Blue 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 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\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Green Green Green Green Green Green Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue\nBlack Black Yellow Yellow Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue\nBlack Black Green Green Black Black Green Green Black Black Green Green Black Black Blue Blue Blue Blue\nBlack Black Green Green Black Black Green Green Black Black Green Green Black Black Blue Blue Blue Blue\nBlack Black Green Green Green Green Green Green Black Black Green Green Black Black Blue Blue Blue Blue\nBlack Black Green Green Green Green Green Green Black Black Green Green Black Black Blue Blue Blue Blue\nBlack Black Green Green Black Black Green Green Black Black Black Black Green Green Green Green Black Black\nBlack Black Green Green Black Black Green Green Black Black Black Black Green Green Green Green Black Black\nBlack Black Green Green Black Black Green Green Black Black Black Black Green Green Green Green Black Black\nBlack Black Green Green Black Black Green Green Black Black Black Black Green Green Green Green Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue\nBlack Black Yellow Yellow Black Black Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Blue Blue Blue Blue\nBlack Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Blue Blue Blue Blue\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Black Blue Blue Blue Blue\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Black Blue Blue Blue Blue\nBlack Black Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Red Red Black Black Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Red Red Black Black Green Green Green Green Green Green Black Black\nGreen Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nGreen Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nGreen Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Green Green Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Green Green Black Black\nBlack Black Black Black Yellow Yellow Black Black Green Green Black Black\nBlack Black Black Black Yellow Yellow Black Black Green Green Black Black\nBlue Blue Black Black Blue Blue Green Green Green Green Green Green\nBlue Blue Black Black Blue Blue Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Gray Gray Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Gray Gray Black Black\nBlack Black Black Black Yellow Yellow Black Black Gray Gray Black Black\nBlack Black Black Black Yellow Yellow Black Black Gray Gray Black Black\nBlue Blue Black Black Blue Blue Gray Gray Gray Gray Gray Gray\nBlue Blue Black Black Blue Blue Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Pink Yellow Pink Brown Purple Gray Pink Orange Brown Green Green\nOrange Orange Brown Orange Gray Orange Blue Pink Gray Purple Orange Yellow\nPurple Red Orange Orange Green Orange Blue Purple Green Green Green Purple\nYellow Gray Brown Purple Brown Orange Yellow Yellow Green Orange Purple Gray\nPink Pink Purple Gray Brown Blue Purple Purple Yellow Yellow Gray Yellow\nPink Blue Green Purple Brown Purple Blue Yellow Red Gray Pink Orange\nRed Brown Red Brown Red Purple Purple Orange Pink Red Orange Brown\nBlue Brown Gray Pink Blue Blue Yellow Purple Blue Blue Orange Purple\n\nOutput:\nRed Red Purple Orange Gray Pink Brown Purple Gray Blue Gray Orange\nBlue Orange Brown Pink Gray Yellow Orange Pink Orange Purple Orange Orange\nBrown Red Red Red Brown Yellow Orange Red Orange Orange Green Brown\nPink Brown Orange Red Blue Blue Orange Purple Brown Purple Pink Blue\nBlue Pink Blue Blue Brown Brown Yellow Purple Pink Brown Gray Gray\nOrange Gray Pink Green Blue Yellow Brown Purple Brown Red Yellow Gray\nPurple Orange Green Gray Orange Brown Brown Green Purple Green Purple Green\nBrown Orange Yellow Yellow Brown Blue Yellow Yellow Gray Pink Purple Yellow\n\n\nExample 2\nInput:\nOrange Yellow Blue Red Green Pink Blue Gray Red Orange\nBrown Blue Purple Brown Gray Brown Brown Purple Purple Brown\nPink Orange Blue Orange Brown Pink Green Green Yellow Yellow\nOrange Yellow Blue Purple Purple Pink Orange Blue Green Red\nPink Blue Purple Red Purple Gray Pink Gray Yellow Purple\nPink Orange Red Pink Orange Yellow Brown Gray Gray Orange\nPink Orange Orange Brown Brown Purple Purple Purple Red Yellow\n\nOutput:\nOrange Green Pink Yellow Gray Red Green Yellow Blue Orange\nPurple Brown Brown Purple Purple Pink Purple Brown Yellow Purple\nBlue Blue Red Red Gray Purple Orange Yellow Orange Gray\nGreen Red Yellow Orange Gray Brown Brown Yellow Blue Orange\nBrown Blue Pink Gray Pink Brown Green Brown Yellow Gray\nOrange Pink Pink Purple Blue Orange Gray Green Orange Gray\nBlue Green Brown Brown Brown Purple Purple Orange Orange Gray\n\n\nExample 3\nInput:\nGray Brown Yellow Yellow Red Green Blue Orange Purple Pink Orange\nGray Pink Blue Purple Yellow Orange Green Purple Blue Blue Brown\nGreen Orange Gray Red Yellow Pink Purple Orange Gray Pink Purple\nBrown Yellow Brown Pink Blue Gray Green Gray Blue Blue Purple\nOrange Purple Red Brown Green Blue Green Yellow Green Blue Yellow\nYellow Blue Orange Yellow Brown Brown Pink Purple Blue Orange Green\nGray Blue Green Blue Gray Pink Brown Yellow Pink Pink Purple\n\nOutput:\nOrange Gray Brown Orange Yellow Red Green Blue Blue Purple Pink\nPurple Yellow Yellow Brown Red Orange Blue Brown Yellow Gray Pink\nBrown Gray Pink Orange Brown Gray Blue Green Pink Orange Red\nBrown Yellow Yellow Pink Red Pink Yellow Gray Purple Blue Purple\nBlue Yellow Red Blue Red Yellow Red Purple Green Brown Orange\nRed Orange Yellow Brown Gray Purple Purple Blue Orange Yellow Blue\nBrown Gray Gray Blue Purple Gray Pink Yellow Red Yellow Pink\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Green Pink Brown Gray Brown Blue Pink\nGray Pink Gray Pink Brown Brown Orange Pink Pink\nPink Purple Brown Yellow Blue Orange Orange Pink Gray\nBlue Red Pink Brown Red Purple Orange Blue Orange\nYellow Purple Green Gray Orange Red Pink Green Green\nBrown Orange Purple Purple Yellow Blue Green Red Purple\nPurple Brown Orange Brown Yellow Blue Pink Blue Yellow\nGray Gray Red Purple Blue Red Yellow Orange Blue\nGray Purple Orange Green Purple Green Pink Red 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```\nGray Yellow Purple Pink Purple Gray Red Pink Gray\nGray Gray Orange Purple Purple Gray Pink Gray Pink\nPink Gray Orange Orange Yellow Blue Purple Brown Gray\nOrange Yellow Orange Brown Green Purple Gray Green Yellow\nRed Red Gray Green Orange Pink Red Brown Blue\nBrown Green Red Yellow Blue Brown Brown Orange Purple\nBlue Yellow Gray Yellow Blue Purple Orange Purple Brown\nYellow Orange Blue Green Yellow Brown Green Pink Pink\nBlue Green Gray Red Brown Red Orange Brown Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Orange Black Black Black Black Black Black Black Black\nBlue Blue Orange Orange Orange Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Orange Black Black Black Black Black Orange Black Black Black Black\nBlack Orange Black Black Black Black Black Orange Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Orange Black\nOrange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack 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\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\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange\nOrange Orange\n\n\nExample 3\nInput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black 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 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 Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink 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 Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange\nOrange Orange\nOrange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Black Black Black Black Black Black Black\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 Orange Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Gray Black\nBlack Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nGreen Brown Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Green Black\nBlack Black Black Orange Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGray Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray\nBlack Black Brown Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Green Black Black Green\nBlack Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Green Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Green Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Black Black Black Black Black Black\nGreen Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black\nGreen Green Green Green Red Red Red Red Red Red Green Green Black Black Black Black\nGreen Green Green Green Red Red Red Red Red Red Green Green Black Black Black Black\nGreen Green Green Green Red Red Red Red Red Red Green Green Black Black Black Black\nGreen Green Green Green Red Red Red Red Red Red Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Green Green Black Black Black Black\n\nOutput:\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Green Green Black Black Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 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\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Green Green Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Green Green Black Black Black Black\nBlack Black Red Red Red Red Red Red Green Green Green Green Green Green Black Black Black Black\nBlack Black Red Red Red Red Red Red Green Green Green Green Green Green Black Black Black Black\nBlack 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 Red Red Red Red Red Red Black Black Black Black\nBlack 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 Red Red Red Red Red Red Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Black Gray Gray Gray Gray Gray Gray Black Gray Black Gray Black Black Black Gray Black\nGray Black Gray Gray Gray Gray Gray Black Gray Gray Black Black Gray Black Gray Gray Black Gray\nBlack Black Black Gray Black Gray Black Black Gray Black Gray Black Gray Black Gray Black Gray Gray\nGray Black Gray Black Black Gray Black Gray Gray Black Gray Black Black Gray Gray Gray Gray Black\nGray Gray Gray Black Black Gray Gray Gray Gray Black Gray Gray Black Gray Black Gray Gray Black\nBlack Gray Gray Black Gray Gray Gray Gray Black Gray Black Gray Black Gray Black Black Black Black\nBlack Black Black Gray Black Black Gray Gray Gray Black Gray Black Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Gray Black Gray Black Black Gray Gray Black Gray Gray Black Gray Gray\nGray Black Gray Black Black Gray Gray Black Gray Black Black Black Gray Black Gray Black Black Black\nGray Black Black Gray Black Black Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray\nGray Black Gray Black Black Black Gray Black Gray Black Black Gray Black Gray Black Gray Gray Gray\nBlack Gray Black Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray\nGray Black Black Black Gray Gray Black Gray Gray Black Black Gray Gray Gray Black Black Gray Black\nBlack Black Gray Black Gray Gray Black Black Gray Black Black Black Gray Gray Gray Black Black Gray\nBlack Black Black Gray Gray Black Gray Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Gray Black Gray Black Gray Black Gray Gray Black Gray Gray Gray\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Gray Black\nBlack Black Gray Gray Gray Black Black Black Black Gray Black Black Gray Gray Gray Black Gray Gray\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 Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black 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 Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Gray Gray Black Black Black\nGray Black Black Black Black Gray Black\nGray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray\nBlack Gray Gray Gray Black Gray Black\nBlack Gray Black Black Gray Black Gray\nBlack Gray Black Gray Black Black Gray\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray\nBlack Gray Black Black Black Gray Gray\nBlack Black Gray Black Black Black Black\nBlack Gray Gray Gray Black Gray Gray\nGray Black Black Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray\nBlack Gray Gray Gray Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Black Black Gray Gray Gray Black Black\nGray Black Black Black Black Black Gray Gray Black\nBlack Black Black Gray Gray Black Black Black Gray\nGray Gray Black Gray Gray Gray Gray Black Gray\nBlack Black Gray Gray Gray Gray Black Black Black\nGray Gray Black Black Gray Gray Gray Gray Gray\nBlack Gray Gray Black Gray Black Gray Black Gray\nGray Black Gray Black Black Black Gray Black Black\nGray Gray Black Black Gray Black Gray Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black\nBlack Black Black Black 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\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 Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nOrange Orange Purple Purple\nGray Orange Green Brown\nRed Yellow Green Brown\nYellow Yellow Yellow Yellow\n\nOutput:\nOrange Orange Purple Purple\nGray Orange Green Brown\nRed Yellow Green Brown\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nRed Yellow Green Brown\nGray Orange Green Brown\nOrange Orange Purple Purple\n\n\nExample 2\nInput:\nRed Brown Brown Gray Yellow\nGray Orange Brown Gray Yellow\nGray Yellow Green Green Green\nPurple Brown Blue Pink Yellow\nOrange Purple Blue Pink Pink\n\nOutput:\nRed Brown Brown Gray Yellow\nGray Orange Brown Gray Yellow\nGray Yellow Green Green Green\nPurple Brown Blue Pink Yellow\nOrange Purple Blue Pink Pink\nOrange Purple Blue Pink Pink\nPurple Brown Blue Pink Yellow\nGray Yellow Green Green Green\nGray Orange Brown Gray Yellow\nRed Brown Brown Gray Yellow\n\n\nExample 3\nInput:\nOrange Orange Purple Brown Orange\nBlue Orange Brown Brown Purple\nBlue Gray Red Red Red\nGray Gray Red Blue Gray\nGray Brown Yellow Gray Pink\n\nOutput:\nOrange Orange Purple Brown Orange\nBlue Orange Brown Brown Purple\nBlue Gray Red Red Red\nGray Gray Red Blue Gray\nGray Brown Yellow Gray Pink\nGray Brown Yellow Gray Pink\nGray Gray Red Blue Gray\nBlue Gray Red Red Red\nBlue Orange Brown Brown Purple\nOrange Orange Purple Brown Orange\n\n\nHere is the input grid for the test example:\nInput:\nPink Blue Purple\nBlue Blue Yellow\nBlue Pink Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Blue Purple\nBlue Blue Yellow\nBlue Pink Red\nBlue Pink Red\nBlue Blue Yellow\nPink Blue Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Orange Purple Purple Purple Purple Purple Purple Purple Orange Black Black\nBlack Orange Purple Purple Purple Purple Purple Purple Purple Orange Black Black\nBlack Orange Purple Purple Purple Purple Purple Purple Purple Orange Black Black\nBlack Orange Purple Purple Purple Purple Purple Purple Purple Orange Black Black\nBlack Orange Purple Purple Purple Purple Purple Purple Purple Orange Black Black\nBlack Orange Purple Purple Purple Purple Purple Purple Purple Orange Black Black\nBlack Orange Purple Purple Purple Purple Purple Purple Purple Orange Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Purple Purple Purple Purple Purple Purple Purple Orange\nOrange Purple Purple Purple Purple Purple Purple Purple Orange\nOrange Purple Purple Purple Purple Purple Purple Purple Orange\nOrange Purple Purple Purple Purple Purple Purple Purple Orange\nOrange Purple Purple Purple Purple Purple Purple Purple Orange\nOrange Purple Purple Purple Purple Purple Purple Purple Orange\nOrange Purple Purple Purple Purple Purple Purple Purple Orange\nOrange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Purple Pink Pink Pink Pink Pink Pink Purple\nBlack Black Black Black Purple Pink Pink Pink Pink Pink Pink Purple\nBlack Black Black Black Purple Pink Pink Pink Pink Pink Pink Purple\nBlack Black Black Black Purple Pink Pink Pink Pink Pink Pink Purple\nBlack Black Black Black Purple Pink Pink Pink Pink Pink Pink Purple\nBlack Black Black Black Purple Pink Pink Pink Pink Pink Pink Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Pink Pink Pink Pink Pink Pink Purple\nPurple Pink Pink Pink Pink Pink Pink Purple\nPurple Pink Pink Pink Pink Pink Pink Purple\nPurple Pink Pink Pink Pink Pink Pink Purple\nPurple Pink Pink Pink Pink Pink Pink Purple\nPurple Pink Pink Pink Pink Pink Pink Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\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\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Orange Orange Orange Orange Orange Orange Gray Black Black Black Black\nGray Orange Orange Orange Orange Orange Orange Gray Black Black Black Black\nGray Orange Orange Orange Orange Orange Orange Gray Black Black Black Black\nGray Orange Orange Orange Orange Orange Orange Gray Black Black Black Black\nGray Orange Orange Orange Orange Orange Orange Gray Black Black Black Black\nGray Orange Orange Orange Orange Orange Orange Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Orange Orange Orange Orange Orange Orange Gray\nGray Orange Orange Orange Orange Orange Orange Gray\nGray Orange Orange Orange Orange Orange Orange Gray\nGray Orange Orange Orange Orange Orange Orange Gray\nGray Orange Orange Orange Orange Orange Orange Gray\nGray Orange Orange Orange Orange Orange Orange Gray\nGray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Gray Gray Gray Gray Gray Gray Gray Gray Orange Black\nBlack Orange Gray Gray Gray Gray Gray Gray Gray Gray Orange Black\nBlack Orange Gray Gray Gray Gray Gray Gray Gray Gray Orange Black\nBlack Orange Gray Gray Gray Gray Gray Gray Gray Gray Orange Black\nBlack Orange Gray Gray Gray Gray Gray Gray Gray Gray Orange Black\nBlack Orange Gray Gray Gray Gray Gray Gray Gray Gray Orange Black\nBlack Orange Gray Gray Gray Gray Gray Gray Gray Gray Orange Black\nBlack Orange Gray Gray Gray Gray Gray Gray Gray Gray Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Gray Gray Gray Gray Gray Gray Gray Gray Orange\nOrange Gray Gray Gray Gray Gray Gray Gray Gray Orange\nOrange Gray Gray Gray Gray Gray Gray Gray Gray Orange\nOrange Gray Gray Gray Gray Gray Gray Gray Gray Orange\nOrange Gray Gray Gray Gray Gray Gray Gray Gray Orange\nOrange Gray Gray Gray Gray Gray Gray Gray Gray Orange\nOrange Gray Gray Gray Gray Gray Gray Gray Gray Orange\nOrange Gray Gray Gray Gray Gray Gray Gray Gray Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Blue Black Brown Black Blue Black\nBlack Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Yellow\nBlack Black Blue Black Black Black Brown Black Black\nBlack Black Black Black Blue Black Black Black Black\n\nOutput:\nBlack Blue Black Brown Black Blue Black Blue Black\nBlack Gray Black Black Black Black Black Gray Black\nBlue Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Yellow Yellow\nBlack Black Brown Black Black Black Blue Black Black\nBlack Black Black Black Blue Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Green Black Black Green Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Pink Black Black\nBlack Black Black Black Black Green Black Black Black Black Black\n\nOutput:\nBlack Black Orange Green Green Black Green Green Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nPurple Orange Black Black Black Black Black Black Black Orange Purple\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Green Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Yellow Black Black Gray Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Green Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black\n\nOutput:\nBlack Black Green Yellow Gray Black Gray Yellow Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nYellow Pink Black Black Black Black Black Black Black Pink Yellow\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black\nPink Gray Black Black Black Black Black Black Black Gray Pink\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Blue Black Black Black Blue Green Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Black Gray Red Black\nBlack Red Black Black Black Black Red\nBlack Black Black Black Black Black Black\nBrown Black Black Black Black Black Brown\nBlack Brown Black Black Black Black Gray\nBlack Black Red Black Black Red Black\nBlack Black Black Brown Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Red Gray Black Red Red Black\nRed Red Black Black Black Red Red\nBlack Black Black Black Black Black Black\nBrown Black Black Black Black Black Brown\nGray Brown Black Black Black Brown Gray\nBlack Red Red Black Red Red Black\nBlack Black Black Brown Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Red Gray Gray Gray Black Black Black\nBlack Black Red Gray Red Gray Gray Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Red Gray\nRed Gray Red\nBlack Red Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Red Yellow Yellow\nBlack Black Black Black Black Black Red Yellow Red Yellow\n\nOutput:\nBlack Red Yellow\nRed Yellow Red\n\n\nExample 3\nInput:\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 Pink Black Black Black Black\nBlack Black Red Pink Pink Pink Black Black Black Black\nBlack Red Black Red Pink Pink Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Red Pink\nRed Black Red\nBlack Red 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 Red Green Black Black Black Black Black Black\nBlack Red Green Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Red Green\nRed Green Red\nBlack Red Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Purple Black Black Purple Purple Black Black Black Black Black Black\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\nPurple Black Black Black Black Black Black Purple Black Black Black Black\nPurple Black Black Black Black Black Black Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Black Black Purple Purple Purple Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Black Orange Orange Orange Orange\nBlack Black Black Black Black Orange Orange Black Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Black Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Black Black Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Black Purple Purple Purple Purple\nBlack Black Black Purple Black Black Black Black Black Black Black Purple\nBlack Black Black Purple Black Black Black Black Black Black Black Purple\nBlack Black Purple Purple Black Black Black Black Black Black Black Purple\nBlack Black 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 Pink Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Pink Pink Pink Black Pink Pink Pink Black\nBlack Black Pink Pink Pink Black Black Pink Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black\nBlack Pink Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Purple Black\nBlack Black Brown Yellow Yellow Yellow Yellow Yellow Black Purple\nBrown Brown Brown Yellow Yellow Yellow Yellow Black Purple Purple\nBlack Brown Black Black Black Yellow Yellow Black Black Purple\n\nOutput:\nBlack Green Green Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Black Blue Black Black Black Black\nBlack Black Black Red Red Blue Blue Black Green Black\nBlack Blue Black Red Black Black Black Green Green Green\nBlue Black Black Black Black Black Black Black Green Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Orange Orange Black Black Black Black Black Black\nBlack Yellow Yellow Orange Orange Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Red Black Black Black\nGreen Green Green Black Black Red Black Red Black Black\nBlack Black Green Black Brown Red Red Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black\nBlack Black Green Black Brown Brown Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Brown Black Black Black Gray Gray Black Gray Black\nBrown Black Black Black Black Black Black Gray Gray Black\nBrown Brown Black Black Black Black Black Black Gray Black\nBrown Brown Black Black Black Black Black Pink Pink Black\nBlack Brown Black Black Black Black Black Black Pink Black\nBlack Brown Brown Black Black Black Black Pink Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Green Yellow\nBlack Black Black Black Black Black Black Red Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Yellow Yellow\nBlack Black Black Black Black Green Green Yellow Yellow\nBlack Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Black Red Red Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Red Purple\nBlack Black Black Black Black Black Black Green Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Purple Purple\nBlack Black Black Black Black Red Red Purple Purple\nBlack Black Black Black Black Green Green Pink Pink\nBlack Black Black Black Black Green Green Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Gray Brown\nBlack Black Black Black Black Black Black Green Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Brown Brown\nBlack Black Black Black Black Gray Gray Brown Brown\nBlack Black Black Black Black Green Green Orange Orange\nBlack Black Black Black Black Green Green 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 Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Yellow Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Red Red\nBlack Black Black Black Black Green Green Red Red\nBlack Black Black Black Black Yellow Yellow Gray Gray\nBlack Black Black Black Black Yellow Yellow Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Pink Black Pink\nPink Black Pink Black\nYellow Pink Black Pink\nPink Black Pink Black\n\nOutput:\nYellow Black Pink Black\nBlack Pink Black Pink\nBlue Black Pink Black\nBlack Pink Black Pink\n\n\nExample 2\nInput:\nBlack Pink Black Yellow\nPink Black Blue Black\nBlack Blue Black Pink\nPink Black Pink Black\n\nOutput:\nPink Black Pink Blue\nBlack Pink Yellow Pink\nPink Yellow Pink Black\nBlack Pink Black Pink\n\n\nExample 3\nInput:\nYellow Pink Black Pink\nPink Black Yellow Blue\nBlack Pink Black Pink\nPink Black Pink Black\n\nOutput:\nBlue Black Pink Black\nBlack Pink Blue Yellow\nPink Black Pink Black\nBlack Pink Black Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Black Pink\nPink Black Pink Black\nBlack Pink Black Pink\nPink 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```\nPink Black Pink Black\nBlack Pink Black Pink\nPink Black Pink Black\nBlack Pink Blue Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Brown Brown\nBlack Black Black Black Pink Pink Brown Brown\nBlack Black Black Black Black Brown Brown Brown\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 Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Black Black Black\nBlack Black Pink Pink Brown Black Black Black\nBlack Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Brown Black Black\nBlack Black Black Black Black Blue Black\nBlack Pink Pink Pink Black Blue Black\nBlack Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black\nBrown Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black\nBlack Black Pink Black Black Black Black\nBlack Black Pink Black Orange 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 Green Green Black Black Black Black\nBlack Green Green Black Black Black Black\nBlack Green Green Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\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 Green Green\nBlack Black Black Black Black Green Green\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:\nPink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Brown Pink Pink Black\nBlack Black Brown Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\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 Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Blue Blue\nPink Black Black Black Black Brown Brown Black Black\nPink Black Black Black Black Black Black Black Black\nPink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange 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 Black Black Black Black\nPink Pink 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 Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nGray Gray 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Orange Orange Orange 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\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Purple Purple Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Orange Orange Purple Purple Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Orange Orange Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Pink Orange Orange Pink Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange 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 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 Orange Orange Orange 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\nBlack Black Black Black Black Black Orange Orange Orange 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Orange Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Orange Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Red Red Green Green Green Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Red Red Green Green Green Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Red Red Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Red Red Green Green Green Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Red Red Green Green Green Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Red Red Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black 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 Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red 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 Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black 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 Purple Pink Pink Pink Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Purple Pink Pink Pink Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Purple Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Pink Pink Pink Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red 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 Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Blue Blue Blue Blue Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Blue Blue Blue Blue Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Pink Pink Pink Gray Brown Brown Brown Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Pink Pink Pink Gray Gray Gray Gray Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Gray Gray Gray Gray Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Blue Blue Blue Blue Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Blue Blue Blue Blue Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Pink Pink Pink Gray Brown Brown Brown Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Pink Pink Pink Gray Brown Brown Brown Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Pink Pink Pink Gray Brown Brown Brown Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Black Black Purple Purple\nBlack Black Black Black Black Black Purple Purple\nBlack Pink Pink Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black\n\nOutput:\nBlack Black Black Pink Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Black Black Purple Purple\nBlack Black Black Black Black Black Purple Purple\nBlack Pink Pink Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black\n\n\nExample 2\nInput:\nBlack Black Blue Blue Black Orange Black\nBlack Blue Blue Black Black Orange Black\nBlack Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Red Red Red Black Black\nBlack Black Red Red Red Black Black\n\nOutput:\nBlack Black Blue Blue Black Orange Black\nBlack Blue Blue Black Black Orange Black\nBlack Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Red Black Black Black\nGreen Green Black Black Red Red Black Black Black\nBlack Green Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Green Black Black Black\nGreen Green Black Black Green Green Black Black Black\nBlack Green Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Green Green Green Black\nBlack Purple Black Black Black Green Black Green Black\nPurple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Black Black Purple Purple Purple Black\nBlack Black Black Black Black Purple 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 Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Purple Black\nBlack Purple Black Black Black Purple Black Purple Black\nPurple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Black Black Purple Purple Purple Black\nBlack Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Brown Blue Black Black\nBlack Black Yellow Purple Purple Purple Black Black Orange Orange Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Pink Black Black\nBlack Black Black Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black\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 Yellow Black Black\nBlack Black Black Purple Black Black\nBlack Black Black Purple Black Black\nBlack Black Blue Purple Black Black\nPurple Blue Blue Black Black Black\nPurple Red Blue Black Black Red\nBlack Black Blue Orange Brown Red\nBlack Black Pink Orange Blue Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Brown Black Black\nBlack Black Brown Green Green Green Brown Black Black\nBlack Black Purple Green Green Green Purple Black Black\nBlack Black Purple Green Gray Green Purple Black Black\nBlack Black Brown Green Red Green Brown Black Black\nBlack Black Blue Gray Black Gray Blue Black Black\nBlack Black Pink Black Black Black Pink Black Black\nBlack Black Pink Pink Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Blue Brown Purple Purple Brown Brown\nPink Black Gray Green Green Green Green Black\nBlack Black Black Red Gray Green Green Black\nPink Black Gray Green Green Green Green Black\nPink Pink Blue Brown Purple Purple Brown Brown\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 Orange Blue Blue Gray Gray Black Black\nBlack Black Orange Orange Gray Green Gray Black Black\nBlack Black Purple Red Green Green Yellow Black Black\nBlack Black Pink Brown Blue Gray Gray Black Black\nBlack Black Brown Brown Green Red Black Black Black\nBlack Black Pink Brown Blue Gray Gray Black Black\nBlack Black Purple Red Green Green Yellow Black Black\nBlack Black Orange Orange Gray Green Gray Black Black\nBlack Black Orange Blue Blue Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Purple Pink Brown Pink Purple Orange Orange\nBlue Orange Red Brown Brown Brown Red Orange Blue\nBlue Gray Green Blue Green Blue Green Gray Blue\nGray Green Green Gray Red Gray Green Green Gray\nGray Gray Yellow Gray Black Gray Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Purple Purple Black Purple Purple Red Black Black\nBlack Black Brown Blue Purple Purple Purple Blue Brown Black Black\nBlack Black Pink Green Gray Black Gray Green Pink Black Black\nBlack Black Gray Blue Pink Pink Pink Blue Gray Black Black\nBlack Black Blue Blue Pink Red Pink Blue Blue Black Black\nBlack Black Black Brown Brown Pink Brown Brown Black Black Black\nBlack Black Black Red Red Orange Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Gray Pink Brown Red\nRed Brown Blue Blue Green Blue Purple\nRed Brown Pink Pink Gray Purple Purple\nOrange Pink Red Pink Black Purple Black\nRed Brown Pink Pink Gray Purple Purple\nRed Brown Blue Blue Green Blue Purple\nBlack Black Blue Gray Pink Brown Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray Brown Brown Brown Brown Brown Red Red Red Red Red Green Green Green Green Green Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Brown Brown Brown Brown Brown Red Red Red Red Red Green Green Green Green Green Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Brown Brown Brown Brown Brown Red Red Red Red Red Green Green Green Green Green Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Brown Brown Brown Brown Brown Red Red Red Red Red Green Green Green Green Green Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Brown Brown Brown Brown Brown Red Red Red Red Red Green Green Green Green Green Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Green Green Green Green Green Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Green Green Green Green Green Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Green Green Green Green Green Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Green Green Green Green Green Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Green Green Green Green Green Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Green Green Green Green Green Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Green Green Green Green Green Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Green Green Green Green Green Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Green Green Green Green Green Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Green Green Green Green Green Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Red Red Red Red Red Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Red Red Red Red Red Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Red Red Red Red Red Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Red Red Red Red Red Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Red Red Red Red Red Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Red Red Red Red Red Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Red Red Red Red Red Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Red Red Red Red Red Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Red Red Red Red Red Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Red Red Red Red Red Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Green Green Green Green Green Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Green Green Green Green Green Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Green Green Green Green Green Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Green Green Green Green Green Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Green Green Green Green Green Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Green Green Green Green Green Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Green Green Green Green Green Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Green Green Green Green Green Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Green Green Green Green Green Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Green Green Green Green Green Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Red Red Red Red Red Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Red Red Red Red Red Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Red Red Red Red Red Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Red Red Red Red Red Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Red Red Red Red Red Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray\nGreen Green Green Green Green Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue\nGreen Green Green Green Green Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue\nGreen Green Green Green Green Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue\nGreen Green Green Green Green Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue\nGreen Green Green Green Green Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange\n\nOutput:\nGreen Green Green Green Green Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Green Green Green Green Green Gray Gray Gray Gray Gray Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Green Green Green Green Green Gray Gray Gray Gray Gray Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Green Green Green Green Green Gray Gray Gray Gray Gray Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Green Green Green Green Green Gray Gray Gray Gray Gray Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Green Green Green Green Green Gray Gray Gray Gray Gray Green Green Green Green Green\nBlue Blue Blue Blue Blue Green Green Green Green Green Brown Brown Brown Brown Brown Red Red Red Red Red\nBlue Blue Blue Blue Blue Green Green Green Green Green Brown Brown Brown Brown Brown Red Red Red Red Red\nBlue Blue Blue Blue Blue Green Green Green Green Green Brown Brown Brown Brown Brown Red Red Red Red Red\nBlue Blue Blue Blue Blue Green Green Green Green Green Brown Brown Brown Brown Brown Red Red Red Red Red\nBlue Blue Blue Blue Blue Green Green Green Green Green Brown Brown Brown Brown Brown Red Red Red Red Red\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Red Red Red Red Red Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Red Red Red Red Red Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Red Red Red Red Red Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Red Red Red Red Red Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Red Red Red Red Red Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Green Green Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Green Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGreen Green Green Green Green Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Green Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGreen Green Green Green Green Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Green Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGreen Green Green Green Green Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Green Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGreen Green Green Green Green Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Green Green Green Green Green Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Green Green Green Green Green Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Green Green Green Green Green Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Green Green Green Green Green Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Green Green Green Green Green Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Green Green Green Green Green Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Green Green Green Green Green Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Green Green Green Green Green Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Green Green Green Green Green Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Green Green Green Green Green Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Green Green Green Green Green Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Green Green Green Green Green Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Green Green Green Green Green Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Green Green Green Green Green Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Green Green Green Green Green Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Green Green Green Green Green Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red 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:\nYellow Brown Yellow Blue Blue Yellow Brown Yellow\nBlue Blue Yellow Brown Brown Yellow Blue Blue\nBlue Gray Brown Blue Blue Brown Gray Blue\nBrown Blue Gray Blue Blue Gray Blue Brown\nBrown Blue Gray Blue Blue Gray Blue Brown\nBlue Gray Brown Blue Blue Brown Gray Blue\nBlue Blue Yellow Brown Brown Yellow Blue Blue\nYellow Brown Yellow Blue Blue Yellow Brown Yellow\n\nOutput:\nBlue\n\n\nExample 2\nInput:\nPink Gray Gray Pink Gray Gray Pink\nGreen Orange Green Pink Green Orange Green\nPink Gray Gray Green Gray Gray Pink\nPurple Orange Green Green Green Orange Purple\nPink Gray Gray Green Gray Gray Pink\nGreen Orange Green Pink Green Orange Green\nPink Gray Gray Pink Gray Gray Pink\n\nOutput:\nGreen\n\n\nExample 3\nInput:\nGray Yellow Gray Pink Gray Yellow Gray\nBlue Pink Gray Pink Gray Pink Blue\nBlue Pink Gray Yellow Gray Pink Blue\nGreen Gray Green Blue Green Gray Green\nPink Blue Blue Yellow Blue Blue Pink\nGreen Gray Green Blue Green Gray Green\nBlue Pink Gray Yellow Gray Pink Blue\nBlue Pink Gray Pink Gray Pink Blue\nGray Yellow Gray Pink Gray Yellow Gray\n\nOutput:\nYellow\n\n\nHere is the input grid for the test example:\nInput:\nBlue Red Red Red Blue Red Red Red Blue\nBrown Blue Brown Brown Gray Brown Brown Blue Brown\nBlue Blue Purple Red Red Red Purple Blue Blue\nGray Red Blue Purple Gray Purple Blue Red Gray\nRed Purple Red Gray Purple Gray Red Purple Red\nGray Red Blue Purple Gray Purple Blue Red Gray\nBlue Blue Purple Red Red Red Purple Blue Blue\nBrown Blue Brown Brown Gray Brown Brown Blue Brown\nBlue Red Red Red Blue Red Red Red Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\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:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\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\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue 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\n\n\nExample 2\nInput:\nBlue 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nBlue 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue 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\nBlue 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\nBlue 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\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:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlue 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlue 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\nBlue 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\nBlue 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow 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:\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red 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 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 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 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 Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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```\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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Black Purple Purple Black Black Black Black\nBlack Brown Brown Black Black Purple Purple Purple Black Black Black\nBlack Brown Brown Black Black Purple Purple Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Brown Brown Brown Black Black Black Black Black Black Black\nBrown Black Brown Brown Black Black Black Black Pink Black Black\nBrown Brown Brown Brown Black Black Black Pink Pink Pink Black\nBrown Brown Brown Black Black Black Black Black Pink Black Black\n\nOutput:\nBlack Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Pink\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 Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Blue Blue Black\nBlack Black Black Gray Gray Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Red Black Black Blue\nBlack Black Blue Blue Black Red Red Black Black\nBlack Black Blue Blue Black Red Red Black Black\nBlack Black Blue Blue Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Gray Black Black Black Black Black Blue Blue Black\nBlack Gray Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Red Red Black\nBlack Black Green Black Black Red Red Red Red Black\nBlack Green Green Green 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 Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple 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\n\nOutput:\nBlack Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Red 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Brown\nGray Gray Gray Black Brown Brown Brown Black\nBlack Black Gray Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black\nBlack Black Gray Black Brown Brown Black Black\nBlack Black Gray Black Black Brown Brown Black\nBlack Black Gray Gray Black Black Brown Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Brown 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:\nYellow Blue Yellow Blue Yellow Blue Yellow Blue\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow\nYellow Blue Yellow Blue Yellow Blue Yellow Blue\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow\nYellow Blue Yellow Blue Yellow Blue Yellow Blue\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow\nYellow Blue Yellow Blue Yellow Blue Yellow Blue\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow\nYellow Blue Yellow Blue Yellow Blue Yellow Blue\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow\nYellow Blue Yellow Blue Yellow Blue Yellow Blue\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow\n\nOutput:\nGreen Orange Green Orange Green Orange Green Orange\nOrange Green Orange Green Orange Green Orange Green\nGreen Orange Green Orange Green Orange Green Orange\nOrange Green Orange Green Orange Green Orange Green\nGreen Orange Green Orange Green Orange Green Orange\nOrange Green Orange Green Orange Green Orange Green\nGreen Orange Green Orange Green Orange Green Orange\nOrange Green Orange Green Orange Green Orange Green\nGreen Orange Green Orange Green Orange Green Orange\nOrange Green Orange Green Orange Green Orange Green\nGreen Orange Green Orange Green Orange Green Orange\nOrange Green Orange Green Orange Green Orange Green\n\n\nExample 2\nInput:\nBlue Yellow Blue Yellow Blue Yellow Blue\nYellow Blue Yellow Blue Yellow Blue Yellow\nBlue Yellow Blue Yellow Blue Yellow Blue\nYellow Blue Yellow Blue Yellow Blue Yellow\nBlue Yellow Blue Yellow Blue Yellow Blue\nYellow Blue Yellow Blue Yellow Blue Yellow\nBlue Yellow Blue Yellow Blue Yellow Blue\nYellow Blue Yellow Blue Yellow Blue Yellow\nBlue Yellow Blue Yellow Blue Yellow Blue\nYellow Blue Yellow Blue Yellow Blue Yellow\n\nOutput:\nOrange Green Orange Green Orange Green Orange\nGreen Orange Green Orange Green Orange Green\nOrange Green Orange Green Orange Green Orange\nGreen Orange Green Orange Green Orange Green\nOrange Green Orange Green Orange Green Orange\nGreen Orange Green Orange Green Orange Green\nOrange Green Orange Green Orange Green Orange\nGreen Orange Green Orange Green Orange Green\nOrange Green Orange Green Orange Green Orange\nGreen Orange Green Orange Green Orange Green\n\n\nExample 3\nInput:\nBlue Yellow Blue Yellow Blue Yellow Blue\nYellow Blue Yellow Blue Yellow Blue Yellow\nBlue Yellow Blue Yellow Blue Yellow Blue\nYellow Blue Yellow Blue Yellow Blue Yellow\nBlue Yellow Blue Yellow Blue Yellow Blue\nYellow Blue Yellow Blue Yellow Blue Yellow\nBlue Yellow Blue Yellow Blue Yellow Blue\nYellow Blue Yellow Blue Yellow Blue Yellow\nBlue Yellow Blue Yellow Blue Yellow Blue\nYellow Blue Yellow Blue Yellow Blue Yellow\nBlue Yellow Blue Yellow Blue Yellow Blue\n\nOutput:\nOrange Green Orange Green Orange Green Orange\nGreen Orange Green Orange Green Orange Green\nOrange Green Orange Green Orange Green Orange\nGreen Orange Green Orange Green Orange Green\nOrange Green Orange Green Orange Green Orange\nGreen Orange Green Orange Green Orange Green\nOrange Green Orange Green Orange Green Orange\nGreen Orange Green Orange Green Orange Green\nOrange Green Orange Green Orange Green Orange\nGreen Orange Green Orange Green Orange Green\nOrange Green Orange Green Orange Green Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow Blue\nYellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow Blue\nYellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow Blue\nYellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow Blue\nYellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Green Orange Green Orange Green Orange Green Orange\nGreen Orange Green Orange Green Orange Green Orange Green\nOrange Green Orange Green Orange Green Orange Green Orange\nGreen Orange Green Orange Green Orange Green Orange Green\nOrange Green Orange Green Orange Green Orange Green Orange\nGreen Orange Green Orange Green Orange Green Orange Green\nOrange Green Orange Green Orange Green Orange Green Orange\nGreen Orange Green Orange Green Orange Green Orange Green\nOrange Green Orange Green Orange Green Orange Green 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black\nBlack 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:\nBrown Brown\nBrown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBrown Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBrown Brown\nBrown Brown\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 Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange Orange\nOrange 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 Yellow Black\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Yellow 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 Yellow Yellow\nBlack Black Yellow Yellow\nBlack Black Yellow Yellow\nBlack Black Yellow Yellow\nYellow Yellow Black Black\nYellow Yellow Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Gray Gray Black Black Black Black Black Brown Brown\nBlack Gray Gray Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black 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:\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Black Black Black Black\nBlack Black Black Black Red Red Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Green Green Black Black Black\nBlack Black Green Green Black Green Green Black Black Black\n\nOutput:\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Black Black Black\nBlack Red Red Black Black Red Red Black Black Black\nBlack Red Red Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown\nPink Pink Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Red Red Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black\n\nOutput:\nGreen Green Green\nGreen Green Green\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 Red Red Black Purple Purple Black Black Black Black\nBlack Red Red Black Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black\nBlack Brown Brown Brown Black Gray Gray Gray Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray\nGray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Black\nRed Red Black Black Black Black Black Black Brown Black\nRed Red Black Black Black Black Black Black Black Black\nRed Red Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple\nPurple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Orange Black Black Black Yellow Black Black Black\nBlack Orange Orange Orange Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Black\nOrange 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:\nGreen Green Green Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nGreen Green Green Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nGreen Green Green Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlue Blue Blue 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\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red 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 Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red 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:\nGreen Green Green Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue\nGreen Green Green Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue\nGreen Green Green Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow\nGreen Green Green Black Black Black Blue Blue Blue Black Black Black Black Black Black\nGreen Green Green Black Black Black Blue Blue Blue Black Black Black Black Black Black\nGreen Green Green Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow\n\nOutput:\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green 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 Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Green Green Green Yellow Yellow Yellow Black Black Black Blue Blue Blue\nBlack Black Black Green Green Green Yellow Yellow Yellow Black Black Black Blue Blue Blue\nBlack Black Black Green Green Green Yellow Yellow Yellow Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Black Purple Black Orange Green Black Black\nOrange Black Black Orange Blue Black Yellow Black\nBlack Black Orange Black Black Purple Black Black\nBlack Black Orange Yellow Black Orange Black Pink\nBlack Black Purple Black Black Black Black Black\nPink Black Black Black Black Black Black Black\nRed Black Black Black Purple Orange Black Orange\nBlack Black Gray Black Black Yellow Black Black\n\nOutput:\nBlack Black Black Gray Black Black Yellow Black\nBlack Pink Black Purple Black Orange Green Black\nBlack Orange Black Black Orange Blue Black Yellow\nBlack Black Black Orange Black Black Purple Black\nPink Black Black Orange Yellow Black Orange Black\nBlack Black Black Purple Black Black Black Black\nBlack Pink Black Black Black Black Black Black\nOrange Red Black Black Black Purple Orange Black\n\n\nExample 2\nInput:\nBlack Black Black Gray Black Black Black\nBlue Black Brown Brown Black Purple Black\nBlack Pink Black Yellow Black Black Black\nBlack Black Purple Black Black Black Blue\nPurple Black Gray Pink Black Black Black\nYellow Black Black Black Black Brown Black\nBlack Purple Yellow Black Black Black Red\n\nOutput:\nRed Black Purple Yellow Black Black Black\nBlack Black Black Black Gray Black Black\nBlack Blue Black Brown Brown Black Purple\nBlack Black Pink Black Yellow Black Black\nBlue Black Black Purple Black Black Black\nBlack Purple Black Gray Pink Black Black\nBlack Yellow Black Black Black Black Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Pink Gray Black\nBlack Yellow Black Black Black Black Brown Black Black\nBlack Orange Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Yellow Black Black Black\nBlack Black Black Purple Black Black Gray Black Black\nGray Black Black Black Black Black Black Black Green\n\nOutput:\nGreen Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Gray\nBlack Black Yellow Black Black Black Black Brown Black\nBrown Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Yellow Black Black\nBlack Black Black Black Purple Black Black Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Gray Gray Black Black\nOrange Black Purple Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Green Black\nGreen Black Black Purple Black Black Black Black Brown\nBlack Black Blue Black Yellow Black Black Blue Black\nBlack Black Black Orange Black Black Black Black Red\nBlack Black Black Brown Black Orange Black Yellow Gray\nBlack Black Black Black Black Black Black Black Red\nPink Black Black Black Pink Purple Blue Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Black Black Black Pink Purple Blue Gray\nBlack Gray Black Black Black Black Gray Gray Black\nBlue Orange Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green\nBrown Green Black Black Purple Black Black Black Black\nBlack Black Black Blue Black Yellow Black Black Blue\nRed Black Black Black Orange Black Black Black Black\nGray Black Black Black Brown Black Orange Black Yellow\nRed Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray\n\nOutput:\nGray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue\n\n\nExample 2\nInput:\nPink Gray Pink Gray\nGray Pink Gray Pink\nPink Gray Pink Gray\nGray Pink Gray Pink\nPink Gray Pink Gray\n\nOutput:\nPink Gray Pink Gray\nGray Pink Gray Pink\nPink Gray Pink Gray\nGray Pink Gray Pink\nPink Gray Pink Gray\nGray Pink Gray Pink\nPink Gray Pink Gray\nGray Pink Gray Pink\nPink Gray Pink Gray\nGray Pink Gray Pink\n\n\nExample 3\nInput:\nPurple Brown Purple Brown Purple\nBrown Purple Brown Purple Brown\nPurple Brown Purple Brown Purple\nBrown Purple Brown Purple Brown\nPurple Brown Purple Brown Purple\n\nOutput:\nPurple Brown Purple Brown Purple\nBrown Purple Brown Purple Brown\nPurple Brown Purple Brown Purple\nBrown Purple Brown Purple Brown\nPurple Brown Purple Brown Purple\nBrown Purple Brown Purple Brown\nPurple Brown Purple Brown Purple\nBrown Purple Brown Purple Brown\nPurple Brown Purple Brown Purple\nBrown Purple Brown Purple Brown\n\n\nHere is the input grid for the test example:\nInput:\nYellow Brown Yellow\nBrown Yellow Brown\nYellow Brown Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Brown Yellow\nBrown Yellow Brown\nYellow Brown Yellow\nBrown Yellow Brown\nYellow Brown Yellow\nBrown Yellow Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Pink Pink Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Pink Pink Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Black Black Yellow Yellow Green Green Green Green Pink Pink Red Red Red Red Red Red Yellow Yellow\nPink Pink Pink Pink Pink Pink Black Black Yellow Yellow Green Green Green Green Pink Pink Red Red Red Red Red Red Yellow Yellow\nBlack Black Black Black Pink Pink Black Black Green Green Green Green Green Green Yellow Yellow Pink Pink Pink Pink Green Green Red Red\nBlack Black Black Black Pink Pink Black Black Green Green Green Green Green Green Yellow Yellow Pink Pink Pink Pink Green Green Red Red\nBlack Black Black Black Red Red Red Red Green Green Green Green Pink Pink Red Red Red Red Pink Pink Green Green Black Black\nBlack Black Black Black Red Red Red Red Green Green Green Green Pink Pink Red Red Red Red Pink Pink Green Green Black Black\nBlack Black Black Black Red Red Red Red Green Green Green Green Pink Pink Red Red Red Red Pink Pink Green Green Black Black\nBlack Black Black Black Red Red Red Red Green Green Green Green Pink Pink Red Red Red Red Pink Pink Green Green Black Black\nBlack Black Black Black Pink Pink Black Black Green Green Green Green Green Green Yellow Yellow Pink Pink Pink Pink Green Green Red Red\nBlack Black Black Black Pink Pink Black Black Green Green Green Green Green Green Yellow Yellow Pink Pink Pink Pink Green Green Red Red\nPink Pink Pink Pink Pink Pink Black Black Yellow Yellow Green Green Green Green Pink Pink Red Red Red Red Red Red Yellow Yellow\nPink Pink Pink Pink Pink Pink Black Black Yellow Yellow Green Green Green Green Pink Pink Red Red Red Red Red Red Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Pink Pink Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Pink Pink Blue Blue Blue Blue Yellow Yellow Yellow Yellow\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green 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\nGreen Green Green Green Green Green Green Green Green Green Green Green 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\nGreen Green Green Green Green Green Green Green Green Green Green Green 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\nGreen Green Green Green Green Green Green Green Green Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Red Red Red Red Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Red Red Red Red Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Pink Pink Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Blue Blue Black Black\nBlue Blue Pink Pink Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Blue Blue Black Black\nPink Pink Pink Pink Blue Blue Yellow Yellow Yellow Yellow Blue Blue Pink Pink Black Black Blue Blue Green Green\nPink Pink Pink Pink Blue Blue Yellow Yellow Yellow Yellow Blue Blue Pink Pink Black Black Blue Blue Green Green\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nPink Pink Pink Pink Blue Blue Yellow Yellow Yellow Yellow Blue Blue Pink Pink Black Black Blue Blue Green Green\nPink Pink Pink Pink Blue Blue Yellow Yellow Yellow Yellow Blue Blue Pink Pink Black Black Blue Blue Green Green\nBlue Blue Pink Pink Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Blue Blue Black Black\nBlue Blue Pink Pink Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Blue Blue Black Black\nBlue Blue Blue Blue Red Red Red Red Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Red Red Red Red Red Red Blue Blue Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Red Red Pink Pink Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Red Red Pink Pink Green Green Green Green Black Black Black Black\nBlack Black Yellow Yellow Red Red Red Red Pink Pink Blue Blue Black Black Green Green Green Green Green Green Green Green\nBlack Black Yellow Yellow Red Red Red Red Pink Pink Blue Blue Black Black Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Blue Blue Green Green Black Black Blue Blue Black Black Black Black Green Green Pink Pink Green Green\nYellow Yellow Yellow Yellow Blue Blue Green Green Black Black Blue Blue Black Black Black Black Green Green Pink Pink Green Green\nRed Red Red Red Green Green Red Red Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Green Green Red Red Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Blue Blue Green Green Black Black Blue Blue Black Black Black Black Green Green Pink Pink Green Green\nYellow Yellow Yellow Yellow Blue Blue Green Green Black Black Blue Blue Black Black Black Black Green Green Pink Pink Green Green\nBlack Black Yellow Yellow Red Red Red Red Pink Pink Blue Blue Black Black Green Green Green Green Green Green Green Green\nBlack Black Yellow Yellow Red Red Red Red Pink Pink Blue Blue Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Pink Pink Red Red Pink Pink Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Red Red Pink Pink Green Green Green Green Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow Red 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 Black Black Black Black\nRed Red Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Green Green Yellow Yellow Black Black Green Green Black Black Black Black Black Black Black Black\nPink Pink Green Green Yellow Yellow Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Yellow Yellow Yellow Yellow Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Yellow Yellow Yellow Yellow Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow\nBlack Black Black Black Green Green Red Red Blue Blue Pink Pink Blue Blue Blue Blue Pink Pink\nBlack Black Black Black Green Green Red Red Blue Blue Pink Pink Blue Blue Blue Blue Pink Pink\nBlack Black Black Black Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow\nYellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow\nYellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow\nYellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow\nYellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow\nYellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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 Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Black Black Black Blue Black Black Black\nGreen Blue Red Black Blue Black Black Blue\nBlack Black Green Black Black Black Black Red\nBlack Green Blue Blue Green Blue Green Black\nBlue Black Black Blue Black Black Red Black\nRed Black Black Blue Green Blue Black Blue\nBlue Black Green Black Black Blue Black Black\nGreen Black Red Black Green Black Green Black\nBlack Green Blue Black Blue Blue Blue Red\nGreen Red Red Black Red Green Black Black\nBlack Blue Black Blue Green Black Black Red\nGreen Green Blue Black Blue Red Black Black\nBlue Blue Black Black Red Black Blue Red\nRed Black Red Blue Red Black Blue Red\nBlue Red Black Black Black Red Black Black\nBlack Red Green Blue Black Red Green Green\nGreen Black Blue Black Black Blue Black Black\nBlue Black Blue Blue Green Red Black Blue\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray\nGray Green Gray Gray Gray Gray Gray Gray\nBlack Gray Black Gray Gray Gray Gray Gray\nGray Red Gray Gray Gray Gray Gray Gray\nYellow Gray Gray Gray Gray Gray Gray Gray\nGray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Red Black Blue Green Red Blue Black Black Green\nBlack Blue Red Red Black Green Green Blue Black Black\nBlack Green Black Red Green Blue Black Black Black Red\nBlack Black Red Green Green Blue Black Blue Black Black\nBlack Red Blue Black Green Blue Black Black Red Green\nRed Blue Green Black Green Green Green Black Red Blue\nBlack Green Black Blue Red Blue Black Blue Black Black\n\nOutput:\nGray Gray Black Gray Gray Green Gray Gray Gray Gray\nGray Gray Gray Gray Black Gray Gray Gray Gray Gray\nGray Gray Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Red Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Yellow Gray Gray Gray Red Gray Gray Gray Gray\nBlack Gray Black Gray Green Gray Black Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Red Red Green Blue Black Black Black Black Green\nBlack Black Black Blue Red Green Red Black Green Black Black\nBlack Black Blue Red Black Blue Red Black Black Blue Blue\nRed Blue Black Black Green Black Black Black Blue Black Green\nBlack Red Black Green Black Black Black Green Black Blue Green\nBlack Black Black Black Red Green Green Black Green Red Black\nBlue Blue Blue Black Black Red Black Green Green Red Black\n\nOutput:\nGray Gray Gray Green Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Gray Red Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Blue Blue Black Black Blue Black Red\nRed Green Blue Red Blue Green Black Blue Green\nRed Green Red Black Black Black Blue Red Red\nRed Red Red Blue Black Black Red Black Blue\nBlack Black Black Red Black Black Green Green Black\nBlack Red Red Blue Green Black Red Blue Green\nBlack Green Green Black Black Black Green Green Red\nBlack Black Black Red Black Red Black Black Red\nRed Black Red Black Green Black Blue Green 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 Gray Yellow Gray Gray Gray Gray Black Gray\nGray Red Yellow Gray Gray Gray Black Gray Red\nGreen Red Gray Gray Gray Gray Gray Gray Green\nGray Gray Gray Gray Gray Gray Gray Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Yellow Gray\nGray Gray Gray Gray Gray Gray Gray Gray Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Gray Black Gray Gray Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Red Red Red Red Black Black Yellow Yellow Yellow Black Black Black\nBlack Red Red Red Red Black Black Yellow Yellow Yellow Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Red Red Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Red Red Black Black Black Orange Orange Orange Orange Black Black\nBlack 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\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 Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\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 Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow 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 Orange Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\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 Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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 Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
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