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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 Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Yellow Black Black\nBlack Black Gray Black Black Black Black Black Yellow Black\nGray Black Purple Black Gray Black Purple Black Black Black\nBlack Purple Black Yellow Black Black Gray Black Black Black\nBlack Gray Gray Black Black Black Yellow Black Purple Black\nBlack Purple Purple Black Black Purple Black Yellow Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Gray Black Yellow Black Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Yellow Black Black\nBlack Black Yellow Black Black Black Black Black Yellow Black\nYellow Black Yellow Black Yellow Black Yellow Black Black Black\nBlack Yellow Black Yellow Black Black Yellow Black Black Black\nBlack Yellow Yellow Black Black Black Yellow Black Yellow Black\nBlack Yellow Yellow Black Black Yellow Black Yellow Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Yellow Black Yellow Black Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Gray Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Purple Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Yellow Black Black Black Black Black Black\nPurple Yellow Black Black Black Black Purple Black Black Purple\nBlack Black Gray Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\n\nOutput:\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Yellow Black Black Yellow\nBlack Black Yellow Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\n\n\nExample 3\nInput:\nBlack Yellow Black Black Black Purple Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Purple Black Black Black Yellow\nBlack Yellow Black Black Purple Black Black Black Black Black\nBlack Gray Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nGray Black Black Black Gray Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Purple\n\nOutput:\nBlack Yellow Black Black Black Yellow Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Yellow Black Black Black Yellow\nBlack Yellow Black Black Yellow Black Black Black Black Black\nBlack Yellow Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nYellow Black Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Purple Black Gray Black Black Black Black Black\nYellow Black Black Black Yellow Gray Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Yellow Black Black Purple Black Black Black Black Purple\nPurple Black Black Black Purple Yellow Black Black Black Black\nBlack Black Yellow Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Purple 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 Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Black Black Black Black\nYellow Black Black Black Yellow Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Yellow Black Black Yellow Black Black Black Black Yellow\nYellow Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nGray Gray Black Black Black Black\nGray Gray Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black\nBlack Black Black Black\nPink Pink Black Black\nPink Pink Black Black\n\nOutput:\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black\nBlack Black Black Black\nPurple Purple Black Black\nPurple Purple Black Black\n\nOutput:\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nGreen Green Black Black Black Black\nGreen 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```\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\n```",
"role": "assistant"
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]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 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 Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue 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 Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue 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 Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Orange Orange Red Red Black Black Orange Orange Red Red Red Red Black Black Black Black Purple Purple\nBlack Black Orange Orange Red Red Black Black Orange Orange Red Red Red Red Black Black Black Black Purple Purple\nBlack Black Black Black Red Red Black Black Yellow Yellow Pink Pink Red Red Yellow Yellow Orange Orange Red Red\nBlack Black Black Black Red Red Black Black Yellow Yellow Pink Pink Red Red Yellow Yellow Orange Orange Red Red\nPurple Purple Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Orange Orange Black Black\nPurple Purple Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Orange Orange Black Black\nBlue Blue Black Black Black Black Black Black Purple Purple Black Black Black Black Blue Blue Yellow Yellow Black Black\nBlue Blue Black Black Black Black Black Black Purple Purple Black Black Black Black Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Brown Brown Black Black Orange Orange Black Black Orange Orange Purple Purple Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Orange Orange Black Black Orange Orange Purple Purple Black Black Black Black\nBlack Black Red Red Black Black Black Black Red Red Red Red Black Black Black Black Black Black Pink Pink\nBlack Black Red Red Black Black Black Black Red Red Red Red Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Pink Pink Black Black\nOrange Orange Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Purple Purple Green Green\nOrange Orange Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Purple Purple Green Green\nPurple Purple Green Green Black Black Red Red Yellow Yellow Black Black Blue Blue Orange Orange Black Black Black Black\nPurple Purple Green Green Black Black Red Red Yellow Yellow Black Black Blue Blue Orange Orange Black Black Black Black\nOrange Orange Black Black Red Red Brown Brown Pink Pink Black Black Brown Brown Pink Pink Yellow Yellow Purple Purple\nOrange Orange Black Black Red Red Brown Brown Pink Pink Black Black Brown Brown Pink Pink Yellow Yellow Purple Purple\n\nOutput:\nBlack Black Orange Orange Green Green Black Black Orange Orange Green Green Green Green Black Black Black Black Purple Purple\nBlack Black Orange Orange Green Green Black Black Orange Orange Green Green Green Green Black Black Black Black Purple Purple\nBlack Black Black Black Green Green Black Black Yellow Yellow Pink Pink Green Green Yellow Yellow Orange Orange Green Green\nBlack Black Black Black Green Green Black Black Yellow Yellow Pink Pink Green Green Yellow Yellow Orange Orange Green Green\nPurple Purple Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Orange Orange Black Black\nPurple Purple Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Orange Orange Black Black\nBlue Blue Black Black Black Black Black Black Purple Purple Black Black Black Black Blue Blue Yellow Yellow Black Black\nBlue Blue Black Black Black Black Black Black Purple Purple Black Black Black Black Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Brown Brown Black Black Orange Orange Black Black Orange Orange Purple Purple Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Orange Orange Black Black Orange Orange Purple Purple Black Black Black Black\nBlack Black Green Green Black Black Black Black Green Green Green Green Black Black Black Black Black Black Pink Pink\nBlack Black Green Green Black Black Black Black Green Green Green Green Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Pink Pink Black Black\nOrange Orange Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Purple Purple Green Green\nOrange Orange Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black Black Black Purple Purple Green Green\nPurple Purple Green Green Black Black Green Green Yellow Yellow Black Black Blue Blue Orange Orange Black Black Black Black\nPurple Purple Green Green Black Black Green Green Yellow Yellow Black Black Blue Blue Orange Orange Black Black Black Black\nOrange Orange Black Black Green Green Brown Brown Pink Pink Black Black Brown Brown Pink Pink Yellow Yellow Purple Purple\nOrange Orange Black Black Green Green Brown Brown Pink Pink Black Black Brown Brown Pink Pink Yellow Yellow Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Orange Orange Black Black Orange Orange\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Orange Orange Black Black Orange Orange\nPink Pink Blue Blue Black Black Black Black Black Black Yellow Yellow Green Green Blue Blue Black Black Black Black\nPink Pink Blue Blue Black Black Black Black Black Black Yellow Yellow Green Green Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Brown Brown Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Brown Brown Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Pink Pink Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Pink Pink Green Green Black Black Black Black Black Black\nBlue Blue Purple Purple Black Black Pink Pink Pink Pink Blue Blue Brown Brown Red Red Red Red Black Black\nBlue Blue Purple Purple Black Black Pink Pink Pink Pink Blue Blue Brown Brown Red Red Red Red Black Black\nGray Gray Red Red Purple Purple Black Black Brown Brown Black Black Black Black Red Red Black Black Yellow Yellow\nGray Gray Red Red Purple Purple Black Black Brown Brown Black Black Black Black Red Red Black Black Yellow Yellow\nBlack Black Black Black Black Black Pink Pink Gray Gray Black Black Purple Purple Blue Blue Black Black Blue Blue\nBlack Black Black Black Black Black Pink Pink Gray Gray Black Black Purple Purple Blue Blue Black Black Blue Blue\nPurple Purple Blue Blue Orange Orange Black Black Black Black Green Green Black Black Orange Orange Pink Pink Purple Purple\nPurple Purple Blue Blue Orange Orange Black Black Black Black Green Green Black Black Orange Orange Pink Pink Purple Purple\nBrown Brown Brown Brown Black Black Black Black Brown Brown Red Red Black Black Red Red Black Black Orange Orange\nBrown Brown Brown Brown Black Black Black Black Brown Brown Red Red Black Black Red Red Black Black Orange Orange\n\nOutput:\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Orange Orange Black Black Orange Orange\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Orange Orange Black Black Orange Orange\nPink Pink Blue Blue Black Black Black Black Black Black Yellow Yellow Green Green Blue Blue Black Black Black Black\nPink Pink Blue Blue Black Black Black Black Black Black Yellow Yellow Green Green Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Brown Brown Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Brown Brown Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Pink Pink Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Pink Pink Green Green Black Black Black Black Black Black\nBlue Blue Purple Purple Black Black Pink Pink Pink Pink Blue Blue Brown Brown Green Green Green Green Black Black\nBlue Blue Purple Purple Black Black Pink Pink Pink Pink Blue Blue Brown Brown Green Green Green Green Black Black\nGray Gray Green Green Purple Purple Black Black Brown Brown Black Black Black Black Green Green Black Black Yellow Yellow\nGray Gray Green Green Purple Purple Black Black Brown Brown Black Black Black Black Green Green Black Black Yellow Yellow\nBlack Black Black Black Black Black Pink Pink Gray Gray Black Black Purple Purple Blue Blue Black Black Blue Blue\nBlack Black Black Black Black Black Pink Pink Gray Gray Black Black Purple Purple Blue Blue Black Black Blue Blue\nPurple Purple Blue Blue Orange Orange Black Black Black Black Green Green Black Black Orange Orange Pink Pink Purple Purple\nPurple Purple Blue Blue Orange Orange Black Black Black Black Green Green Black Black Orange Orange Pink Pink Purple Purple\nBrown Brown Brown Brown Black Black Black Black Brown Brown Green Green Black Black Green Green Black Black Orange Orange\nBrown Brown Brown Brown Black Black Black Black Brown Brown Green Green Black Black Green Green Black Black Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Green Green Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Green Green Orange Orange\nBlack Black Black Black Blue Blue Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Yellow Yellow Brown Brown Gray Gray Red Red Purple Purple Yellow Yellow Green Green Yellow Yellow\nBlack Black Gray Gray Yellow Yellow Brown Brown Gray Gray Red Red Purple Purple Yellow Yellow Green Green Yellow Yellow\nBlack Black Black Black Black Black Black Black Pink Pink Red Red Purple Purple Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Red Red Purple Purple Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Gray Gray Red Red Black Black Gray Gray Blue Blue Black Black\nBlack Black Black Black Black Black Brown Brown Gray Gray Red Red Black Black Gray Gray Blue Blue Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Brown Brown Orange Orange\nBrown Brown Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Brown Brown Orange Orange\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Gray Gray Orange Orange Black Black Gray Gray Brown Brown Black Black Purple Purple Green Green\nBlack Black Black Black Gray Gray Orange Orange Black Black Gray Gray Brown Brown Black Black Purple Purple Green Green\nYellow Yellow Black Black Black Black Gray Gray Pink Pink Blue Blue Black Black Red Red Black Black Black Black\nYellow Yellow Black Black Black Black Gray Gray Pink Pink Blue Blue Black Black Red Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Green Green Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Green Green Orange Orange\nBlack Black Black Black Blue Blue Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Yellow Yellow Brown Brown Gray Gray Green Green Purple Purple Yellow Yellow Green Green Yellow Yellow\nBlack Black Gray Gray Yellow Yellow Brown Brown Gray Gray Green Green Purple Purple Yellow Yellow Green Green Yellow Yellow\nBlack Black Black Black Black Black Black Black Pink Pink Green Green Purple Purple Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Green Green Purple Purple Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Gray Gray Green Green Black Black Gray Gray Blue Blue Black Black\nBlack Black Black Black Black Black Brown Brown Gray Gray Green Green Black Black Gray Gray Blue Blue Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Brown Brown Orange Orange\nBrown Brown Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Brown Brown Orange Orange\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Gray Gray Orange Orange Black Black Gray Gray Brown Brown Black Black Purple Purple Green Green\nBlack Black Black Black Gray Gray Orange Orange Black Black Gray Gray Brown Brown Black Black Purple Purple Green Green\nYellow Yellow Black Black Black Black Gray Gray Pink Pink Blue Blue Black Black Green Green Black Black Black Black\nYellow Yellow Black Black Black Black Gray Gray Pink Pink Blue Blue Black Black Green Green Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Black Black Black Black Red Red Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Red Red Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Yellow Yellow Green Green Black Black Purple Purple Pink Pink Black Black Gray Gray\nBlack Black Orange Orange Black Black Yellow Yellow Green Green Black Black Purple Purple Pink Pink Black Black Gray Gray\nRed Red Green Green Pink Pink Red Red Black Black Brown Brown Purple Purple Gray Gray Blue Blue Purple Purple\nRed Red Green Green Pink Pink Red Red Black Black Brown Brown Purple Purple Gray Gray Blue Blue Purple Purple\nPink Pink Black Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Brown Brown\nPink Pink Black Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Brown Brown\nBlack Black Black Black Gray Gray Gray Gray Yellow Yellow Black Black Orange Orange Yellow Yellow Brown Brown Orange Orange\nBlack Black Black Black Gray Gray Gray Gray Yellow Yellow Black Black Orange Orange Yellow Yellow Brown Brown Orange Orange\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Orange Orange Blue Blue Yellow Yellow\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Orange Orange Blue Blue Yellow Yellow\nPurple Purple Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Brown Brown Red Red Black Black\nPurple Purple Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Brown Brown Red Red Black Black\nPurple Purple Black Black Black Black Green Green Red Red Black Black Purple Purple Black Black Purple Purple Brown Brown\nPurple Purple Black Black Black Black Green Green Red Red Black Black Purple Purple Black Black Purple Purple Brown Brown\nBlack Black Black Black Blue Blue Black Black Pink Pink Black Black Yellow Yellow Purple Purple Black Black Orange Orange\nBlack Black Black Black Blue Blue Black Black Pink Pink Black Black Yellow Yellow Purple Purple Black Black Orange Orange\nBlack Black Black Black Gray Gray Black Black Blue Blue Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Blue Blue Black Black Black Black Black Black Gray Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Black Black Black Black Green Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Green Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Yellow Yellow Green Green Black Black Purple Purple Pink Pink Black Black Gray Gray\nBlack Black Orange Orange Black Black Yellow Yellow Green Green Black Black Purple Purple Pink Pink Black Black Gray Gray\nGreen Green Green Green Pink Pink Green Green Black Black Brown Brown Purple Purple Gray Gray Blue Blue Purple Purple\nGreen Green Green Green Pink Pink Green Green Black Black Brown Brown Purple Purple Gray Gray Blue Blue Purple Purple\nPink Pink Black Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Brown Brown\nPink Pink Black Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Brown Brown\nBlack Black Black Black Gray Gray Gray Gray Yellow Yellow Black Black Orange Orange Yellow Yellow Brown Brown Orange Orange\nBlack Black Black Black Gray Gray Gray Gray Yellow Yellow Black Black Orange Orange Yellow Yellow Brown Brown Orange Orange\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Orange Orange Blue Blue Yellow Yellow\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Orange Orange Blue Blue Yellow Yellow\nPurple Purple Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Brown Brown Green Green Black Black\nPurple Purple Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Brown Brown Green Green Black Black\nPurple Purple Black Black Black Black Green Green Green Green Black Black Purple Purple Black Black Purple Purple Brown Brown\nPurple Purple Black Black Black Black Green Green Green Green Black Black Purple Purple Black Black Purple Purple Brown Brown\nBlack Black Black Black Blue Blue Black Black Pink Pink Black Black Yellow Yellow Purple Purple Black Black Orange Orange\nBlack Black Black Black Blue Blue Black Black Pink Pink Black Black Yellow Yellow Purple Purple Black Black Orange Orange\nBlack Black Black Black Gray Gray Black Black Blue Blue Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Blue Blue Black Black Black Black Black Black Gray Gray Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black\nBlack Brown Brown Brown Black Pink Pink Pink\nBlack Green Brown Brown Black Pink Pink Pink\nBlack Green Black Black Black Pink Pink Pink\nBlack Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Brown Brown Brown Pink Pink Pink Pink\nPink Brown Brown Brown Pink Pink Pink Pink\nPink Green Brown Brown Pink Pink Pink Pink\nPink Green Pink Pink Pink Pink Pink Pink\nPink Green Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Green Green\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\nYellow Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Green Green\nYellow Yellow Yellow Yellow Yellow Green Green\nYellow Yellow Yellow Yellow Yellow Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple\nBlack Blue Blue Black Black Black Red Red Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black\nBrown Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Blue Blue Brown Brown Brown Red Red Brown\nBrown Blue Blue Brown Brown Brown Brown Brown Brown\nBrown Brown Blue Blue Blue Brown Brown Brown Brown\nBrown 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink 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\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 Green Pink Pink Pink Pink Pink Pink Pink\nPink Green Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Red 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 Gray 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 Gray Purple Purple 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 Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Blue Green Green Purple Green Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Orange Green Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Yellow\nPink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Yellow\nPink Pink Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Green Green Green Green Green Orange Green Yellow\nPink Pink Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Green Orange Orange Orange Orange Orange Yellow Yellow Green Green Green Green Green Green Green Yellow\nPink Pink Pink Brown Pink Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Purple Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Green Green Green Green Green Green Green Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Green Green Green Green Green Green Green Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Green Green Blue Green Green Purple Green Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Green Green Green Green Green Green Green Yellow\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Green Green Green Green Green Orange Green Yellow\nGray Gray Gray Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Yellow Yellow Gray Gray Green Green Green Green Green Green Green Yellow\nPink Pink Pink Pink Pink Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Green Green Green Green Green Green Green Yellow\nPink Pink Pink Pink Pink Yellow Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Green Green Green Green Green Orange Green Yellow\nPink Pink Pink Pink Pink Yellow Gray Gray Orange Orange Orange Green Orange Orange Orange Orange Orange Gray Gray Green Green Green Green Green Green Green Yellow\nPink Pink Pink Brown Pink Yellow Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Yellow\nPink Pink Pink Pink Pink Yellow Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Yellow Gray Gray Orange Orange Orange Orange Orange Orange Orange Purple Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Yellow Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Yellow Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\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\nBrown Brown Brown Purple Blue Blue Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Purple Blue Blue Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Purple Blue Blue Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Purple Blue Blue Purple 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\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\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\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\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\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\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\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\nBrown Brown Brown Brown Brown Brown Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Orange Red Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\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\nBrown Brown Brown Purple Blue Blue Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Purple Blue Blue Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Purple Blue Blue Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Purple Blue Blue Purple 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\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\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\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\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\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\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\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\nBrown Brown Brown Brown Brown Brown Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Orange Red Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Pink Pink Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Pink Pink Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Blue Red Red Red Red Gray Red Pink Pink Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Purple Red Pink Pink Purple Purple Purple Purple Brown Purple\nPurple Purple Purple Purple Purple Purple Purple Pink Pink Red Red Red Red Red Red Red Red Red Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Pink Pink Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Gray Purple Purple Pink Pink Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Brown Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple 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 Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Pink Red Red Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Gray Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red 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\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Blue Red Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Blue Red Red Red Red Red Red Red Red Red Pink Blue Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Blue Red Red Red Red Red Red Red Red Red Pink Blue Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Blue Red Red Blue Red Red Red Red Gray Red Pink Blue Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Blue Red Red Red Red Red Red Red Purple Red Pink Blue Purple Purple Purple Purple Brown Purple\nPurple Purple Purple Purple Purple Purple Purple Pink Blue Red Red Red Red Red Red Red Red Red Pink Blue Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Gray Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue\nPurple Brown Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Blue Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Red Red Red Red Blue Red Red Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Red Red Red Red Red Red Gray Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Brown Gray Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray 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 Brown Orange Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Green Green Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Pink Pink Pink Pink Brown Orange Green Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Pink Blue Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Brown Blue Blue Blue Blue Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue 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\nDirectly provide the output grids corresponding to the given test input 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 Brown Brown Brown Brown Brown Orange Green Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Gray Gray Gray Gray Gray Green Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Gray Gray Gray Gray Gray Green Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Gray Gray Gray Brown Gray Green Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Gray Gray Gray Gray Gray Green Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Gray Gray Gray Gray Gray Green Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Gray Gray Gray Gray Gray Green Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Gray Gray Gray Gray Gray Green Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Orange Green 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 Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Green Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Blue Blue Blue Blue Blue Blue Blue Brown Blue Green Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Blue Blue Blue Blue Brown Blue Blue Blue Blue Green Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Green 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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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\nBrown Brown Black Brown Brown Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black\nBlack Brown Purple Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black\nBrown Brown Black Brown Brown Black 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 Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Purple Purple Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Purple Pink Pink Black\nBlack Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Green Green Black Green Green Black\nBlack Black Black Black Black Green Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Green Red Red Black Black Black Black\nBlack Black Yellow Black Red Red Black Black Black Black\nBlack Blue Orange Black Brown Pink Black Black Black Black\nBlack Black Orange Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Orange Orange Black Black Brown Brown Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Orange Orange Black Black Brown Brown Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Blue Blue Gray Blue\nBlack Black Black Black Black Purple Purple Gray Black Blue\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Purple Purple Gray Black Blue\nBlack Black Black Black Black Purple Blue Blue Gray Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue Gray Gray Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue Gray Gray Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Gray Gray Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Gray Gray Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Gray Gray Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Gray Gray Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue Gray Gray Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue Gray Gray Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Pink Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Yellow Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Pink Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Purple Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Yellow Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Purple Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Yellow Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Blue Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Red Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Pink Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Brown Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Yellow Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Yellow Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Green Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Orange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Green Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Gray Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Green Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black\nYellow Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown 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\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Red Brown Black Black Yellow Black Black\nRed Pink Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Gray Black Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Purple Black Black Black Black Black Blue 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 Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Red\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Brown Black Blue Black Black Pink 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 Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Red Yellow Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Black Black Black\nBlack Green Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown 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 Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Brown Orange Pink Gray Purple Brown Pink Yellow Pink Orange Purple Yellow\nOrange Orange Red Purple Yellow Orange Purple Gray Pink Blue Orange Gray Orange Brown Orange\nYellow Orange Brown Purple Brown Gray Yellow Purple Green Green Green Purple Blue Orange Green\nYellow Yellow Purple Purple Blue Brown Gray Purple Pink Pink Gray Purple Orange Green Yellow\nRed Orange Pink Gray Red Yellow Blue Purple Brown Purple Green Blue Pink Yellow Gray\nPink Gray Brown Blue Brown Orange Green Green Green Green Green Red Brown Red Brown\nRed Brown Blue Green Green Purple Green Green Green Green Green Purple Yellow Blue Blue\nBrown Green Pink Orange Red Yellow Green Green Green Green Green Orange Purple Red Blue\nBrown Yellow Pink Orange Gray Red Green Green Green Green Green Purple Orange Purple Brown\nRed Red Purple Gray Red Gray Green Green Green Green Green Red Brown Red Pink\nGray Yellow Blue Brown Purple Blue Yellow Green Orange Gray Red Yellow Green Brown Orange\nYellow Brown Yellow Orange Purple Yellow Orange Blue Green Blue Purple Yellow Purple Red Gray\nRed Green Green Pink Yellow Red Gray Gray Brown Gray Blue Gray Purple Brown Green\nYellow Red Purple Brown Blue Pink Purple Yellow Yellow Pink Pink Purple Pink Blue Purple\nGreen Orange Pink Orange Orange Pink Blue Purple Orange Blue Green Orange Purple Orange Blue\n\nOutput:\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\n\n\nExample 2\nInput:\nOrange Pink Purple Green Green Green Green Green Yellow Brown Gray Orange\nGreen Brown Blue Green Green Green Green Green Purple Blue Pink Gray\nYellow Brown Purple Green Green Green Green Green Yellow Red Gray Orange\nRed Purple Orange Green Green Green Green Green Gray Blue Pink Brown\nYellow Orange Blue Green Green Green Green Green Green Blue Green Brown\nGray Blue Green Blue Gray Green Orange Blue Purple Pink Brown Brown\nGreen Blue Green Red Green Pink Purple Pink Pink Yellow Brown Pink\nBlue Green Yellow Brown Yellow Pink Purple Pink Blue Red Purple Purple\nBlue Purple Brown Gray Green Blue Orange Red Purple Yellow Yellow Green\nYellow Blue Pink Purple Green Orange Green Orange Yellow Gray Purple Yellow\nBrown Red Blue Purple Gray Green Purple Green Green Yellow Pink Green\nGreen Orange Orange Green Orange Blue Yellow Orange Yellow Gray Brown Pink\n\nOutput:\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\n\n\nExample 3\nInput:\nGray Pink Pink Pink Pink Pink Yellow Red Yellow Blue Pink\nOrange Pink Pink Pink Pink Pink Red Pink Brown Brown Pink\nOrange Pink Pink Pink Pink Pink Green Gray Pink Purple Purple\nYellow Pink Pink Pink Pink Pink Brown Orange Yellow Blue Red\nOrange Pink Pink Pink Pink Pink Blue Red Orange Pink Gray\nYellow Brown Pink Pink Pink Pink Orange Pink Orange Green Red\nBlue Purple Gray Green Brown Brown Blue Yellow Red Yellow Brown\nGreen Yellow Blue Green Blue Orange Brown Brown Yellow Orange Orange\nRed Purple Orange Orange Pink Red Brown Red Yellow Gray Blue\nYellow Blue Green Brown Green Orange Brown Purple Brown Green Yellow\nPink Purple Orange Green Green Red Green Orange Red Blue Green\n\nOutput:\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nGray Orange Brown Purple Orange Gray Red Red Pink Yellow Red Blue Brown Red\nOrange Blue Gray Yellow Yellow Yellow Brown Pink Orange Purple Yellow Red Yellow Red\nPink Pink Gray Orange Red Brown Purple Pink Blue Gray Green Yellow Blue Green\nPurple Gray Brown Pink Orange Green Pink Pink Red Yellow Purple Gray Purple Purple\nRed Purple Yellow Brown Green Brown Orange Yellow Brown Green Yellow Purple Pink Yellow\nGray Blue Yellow Gray Gray Gray Gray Gray Pink Red Purple Gray Gray Yellow\nBlue Pink Red Gray Gray Gray Gray Gray Gray Gray Pink Green Gray Green\nYellow Pink Orange Gray Gray Gray Gray Gray Red Brown Gray Orange Yellow Yellow\nPurple Orange Green Gray Gray Gray Gray Gray Orange Gray Gray Green Purple Blue\nPurple Brown Purple Gray Gray Gray Gray Gray Brown Gray Brown Red Purple Purple\nGray Yellow Red Orange Blue Pink Gray Yellow Purple Blue Brown Blue Gray Red\nPurple Red Yellow Pink Red Yellow Blue Yellow Gray Brown Purple Yellow Gray Pink\nBrown Yellow Purple Red Purple Purple Gray Pink Brown Green Green Gray Pink Green\nGray Pink Red Yellow Blue Purple Orange Orange Orange Yellow Brown Green Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink 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:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Pink Pink 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 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 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 Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlack Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlack Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlack Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlack Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlack Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlack Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlack Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlack Black Black Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlack Black Black Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlack Black Black Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlack Black Black Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow 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 Yellow Yellow Black Black\nBlack Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black Black\nBlack Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black Black\nBlack Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black Black\nBlack Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black Black\nBlack Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black Black\nBlack Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black Black\nBlack Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black Black\nBlack Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black Black\nBlack Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black Black\nBlack Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black Black\nBlack Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black Black\nBlack Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black Black\nBlack Black Yellow Yellow 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 Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow 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 Yellow Yellow Black Black\nBlack Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black Black\nBlack Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black Black\nBlack Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black Black\nBlack Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black Black\nBlack Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black Black\nBlack Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nBlack Black Black Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nBlack Black Black Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nBlack Black Black Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nBlack Black Black Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nBlack Black Black Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nBlack Black Black Black Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black 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 Gray Gray 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 Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Gray Gray 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 Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray 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 Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray\nBlack Black Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray\nBlack Black Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray\nBlack Black Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray\nBlack Black Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray\nBlack Black Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray\nBlack Black Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray\nBlack Black Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray\nBlack Black Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray\nBlack Black Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray\nBlack Black Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray\nBlack Black Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray\nBlack Black Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray\nBlack Black Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray\nBlack Black Black Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray\nBlack Black Black Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Blue Yellow Pink Blue Blue Yellow Purple Red Red\nPurple Orange Pink Red Orange Brown Blue Brown Gray Pink\nRed Gray Pink Orange Red Brown Red Brown Red Purple\nOrange Yellow Pink Green Green Purple Brown Purple Blue Orange\nPink Pink Purple Gray Brown Blue Purple Purple Yellow Yellow\nBrown Purple Brown Orange Yellow Yellow Green Orange Purple Gray\nRed Orange Blue Blue Green Green Red Purple Yellow Purple\nBlue Pink Gray Purple Orange Yellow Purple Red Orange Orange\nOrange Brown Green Green Orange Orange Brown Orange Gray Orange\nGreen Purple Orange Green Yellow Pink Blue Purple Gray Brown\n\nOutput:\nOrange Blue Yellow Orange Blue Blue Orange Purple Red Orange\nPurple Orange Pink Red Orange Brown Blue Brown Gray Pink\nRed Gray Pink Orange Red Brown Red Brown Red Purple\nOrange Yellow Pink Orange Green Purple Orange Purple Blue Orange\nPink Pink Purple Gray Brown Blue Purple Purple Yellow Yellow\nBrown Purple Brown Orange Yellow Yellow Green Orange Purple Gray\nOrange Orange Blue Orange Green Green Orange Purple Yellow Orange\nBlue Pink Gray Purple Orange Yellow Purple Red Orange Orange\nOrange Brown Green Green Orange Orange Brown Orange Gray Orange\nOrange Purple Orange Orange Yellow Pink Orange Purple Gray Orange\n\n\nExample 2\nInput:\nPurple Blue Blue Pink Purple Brown Green Green Red Purple\nRed Brown Green Blue Pink Yellow Pink Red Purple Purple\nRed Yellow Gray Orange Gray Purple Purple Orange Green Red\nPurple Orange Pink Green Orange Brown Blue Purple Purple Gray\nYellow Purple Pink Orange Red Pink Orange Yellow Brown Gray\nGreen Red Pink Blue Purple Red Purple Gray Pink Gray\nYellow Yellow Orange Purple Blue Purple Yellow Pink Orange Orange\nPurple Brown Pink Orange Blue Orange Brown Pink Green Green\nRed Orange Brown Blue Purple Brown Gray Brown Brown Purple\nGreen Pink Orange Purple Blue Red Green Pink Blue Orange\n\nOutput:\nOrange Blue Blue Orange Purple Brown Orange Green Red Orange\nRed Brown Green Blue Pink Yellow Pink Red Purple Purple\nRed Yellow Gray Orange Gray Purple Purple Orange Green Red\nOrange Orange Pink Orange Orange Brown Orange Purple Purple Orange\nYellow Purple Pink Orange Red Pink Orange Yellow Brown Gray\nGreen Red Pink Blue Purple Red Purple Gray Pink Gray\nOrange Yellow Orange Orange Blue Purple Orange Pink Orange Orange\nPurple Brown Pink Orange Blue Orange Brown Pink Green Green\nRed Orange Brown Blue Purple Brown Gray Brown Brown Purple\nOrange Pink Orange Orange Blue Red Orange Pink Blue Orange\n\n\nExample 3\nInput:\nYellow Pink Yellow Orange Yellow Green Gray Green Yellow Orange\nGreen Red Green Blue Green Purple Purple Red Blue Pink\nGreen Blue Gray Pink Brown Yellow Pink Pink Purple Pink\nBlue Brown Brown Yellow Purple Blue Purple Green Gray Gray\nGreen Blue Green Yellow Green Blue Yellow Yellow Blue Orange\nGray Green Gray Blue Blue Purple Orange Purple Red Brown\nGreen Orange Gray Gray Purple Brown Brown Brown Pink Purple\nPurple Blue Blue Brown Green Orange Gray Red Yellow Pink\nPurple Pink Orange Gray Pink Blue Purple Yellow Orange Green\nPurple Orange Gray Red Yellow Yellow Orange Green Blue Blue\n\nOutput:\nOrange Pink Yellow Orange Yellow Green Orange Green Yellow Orange\nGreen Red Green Blue Green Purple Purple Red Blue Pink\nGreen Blue Gray Pink Brown Yellow Pink Pink Purple Pink\nOrange Brown Brown Orange Purple Blue Orange Green Gray Orange\nGreen Blue Green Yellow Green Blue Yellow Yellow Blue Orange\nGray Green Gray Blue Blue Purple Orange Purple Red Brown\nOrange Orange Gray Orange Purple Brown Orange Brown Pink Orange\nPurple Blue Blue Brown Green Orange Gray Red Yellow Pink\nPurple Pink Orange Gray Pink Blue Purple Yellow Orange Green\nOrange Orange Gray Orange Yellow Yellow Orange Green Blue Orange\n\n\nHere is the input grid for the test example:\nInput:\nGray Yellow Blue Purple Orange Brown Blue Gray Gray Green\nPink Red Yellow Gray Brown Gray Orange Green Orange Red\nRed Yellow Orange Blue Gray Purple Orange Green Purple Green\nRed Blue Pink Brown Yellow Gray Orange Red Purple Pink\nPurple Yellow Blue Green Red Purple Purple Brown Orange Brown\nGreen Gray Orange Red Pink Green Green Brown Orange Purple\nRed Pink Brown Orange Purple Orange Pink Orange Yellow Orange\nPink Purple Brown Yellow Blue Orange Orange Pink Gray Blue\nPink Gray Pink Gray Pink Brown Brown Orange Pink Pink\nGray Gray Pink Brown Green Pink Green Gray Brown Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Yellow Blue Orange Orange Brown Orange Gray Gray Orange\nPink Red Yellow Gray Brown Gray Orange Green Orange Red\nRed Yellow Orange Blue Gray Purple Orange Green Purple Green\nOrange Blue Pink Orange Yellow Gray Orange Red Purple Orange\nPurple Yellow Blue Green Red Purple Purple Brown Orange Brown\nGreen Gray Orange Red Pink Green Green Brown Orange Purple\nOrange Pink Brown Orange Purple Orange Orange Orange Yellow Orange\nPink Purple Brown Yellow Blue Orange Orange Pink Gray Blue\nPink Gray Pink Gray Pink Brown Brown Orange Pink Pink\nOrange Gray Pink Orange Green Pink Orange Gray Brown Orange\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nOrange Orange Orange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\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 Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nGreen Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBrown Brown Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\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 Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nGreen Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 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\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\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 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 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 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 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\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\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Orange Purple Black Purple Orange Orange Orange\nPurple Purple Purple Orange Black Orange Purple Purple Purple\nPurple Purple Purple Orange Black Orange Purple Purple Purple\nPurple Orange Purple Orange Black Orange Purple Orange Purple\nPurple Purple Purple Orange Black Orange Purple Purple Purple\nPurple Purple Orange Purple Black Purple Orange Purple Purple\nOrange Purple Purple Orange Black Orange Purple Purple Orange\nPurple Orange Orange Purple Black Purple Orange Orange Purple\nOrange Orange Purple Orange Black Orange Purple Orange Orange\n\nOutput:\nPurple Purple Purple Orange Black Orange Purple Purple Purple\nOrange Orange Orange Purple Black Purple Orange Orange Orange\nOrange Orange Orange Purple Black Purple Orange Orange Orange\nOrange Purple Orange Purple Black Purple Orange Purple Orange\nOrange Orange Orange Purple Black Purple Orange Orange Orange\nOrange Orange Purple Orange Black Orange Purple Orange Orange\nPurple Orange Orange Purple Black Purple Orange Orange Purple\nOrange Purple Purple Orange Black Orange Purple Purple Orange\nPurple Purple Orange Purple Black Purple Orange Purple Purple\n\n\nExample 2\nInput:\nPurple Orange Purple Orange Black Orange Purple Orange Purple\nOrange Orange Purple Purple Black Purple Purple Orange Orange\nPurple Orange Orange Purple Black Purple Orange Orange Purple\nOrange Purple Orange Purple Black Purple Orange Purple Orange\nPurple Purple Purple Orange Black Orange Purple Purple Purple\nOrange Purple Purple Purple Black Purple Purple Purple Orange\nPurple Purple Purple Orange Black Orange Purple Purple Purple\nPurple Orange Orange Orange Black Orange Orange Orange Purple\nOrange Purple Purple Orange Black Orange Purple Purple Orange\n\nOutput:\nOrange Purple Orange Purple Black Purple Orange Purple Orange\nPurple Purple Orange Orange Black Orange Orange Purple Purple\nOrange Purple Purple Orange Black Orange Purple Purple Orange\nPurple Orange Purple Orange Black Orange Purple Orange Purple\nOrange Orange Orange Purple Black Purple Orange Orange Orange\nPurple Orange Orange Orange Black Orange Orange Orange Purple\nOrange Orange Orange Purple Black Purple Orange Orange Orange\nOrange Purple Purple Purple Black Purple Purple Purple Orange\nPurple Orange Orange Purple Black Purple Orange Orange Purple\n\n\nExample 3\nInput:\nOrange Purple Orange Purple Black Purple Orange Purple Orange\nPurple Purple Purple Purple Black Purple Purple Purple Purple\nOrange Purple Orange Purple Black Purple Orange Purple Orange\nPurple Purple Purple Orange Black Orange Purple Purple Purple\nPurple Purple Orange Purple Black Purple Orange Purple Purple\nPurple Orange Orange Purple Black Purple Orange Orange Purple\nPurple Orange Orange Orange Black Orange Orange Orange Purple\nPurple Purple Orange Purple Black Purple Orange Purple Purple\nPurple Purple Orange Orange Black Orange Orange Purple Purple\n\nOutput:\nPurple Orange Purple Orange Black Orange Purple Orange Purple\nOrange Orange Orange Orange Black Orange Orange Orange Orange\nPurple Orange Purple Orange Black Orange Purple Orange Purple\nOrange Orange Orange Purple Black Purple Orange Orange Orange\nOrange Orange Purple Orange Black Orange Purple Orange Orange\nOrange Purple Purple Orange Black Orange Purple Purple Orange\nOrange Purple Purple Purple Black Purple Purple Purple Orange\nOrange Orange Purple Orange Black Orange Purple Orange Orange\nOrange Orange Purple Purple Black Purple Purple Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nPurple Orange Orange Orange Black Orange Orange Orange Purple\nPurple Orange Orange Purple Black Purple Orange Orange Purple\nPurple Orange Orange Purple Black Purple Orange Orange Purple\nOrange Purple Purple Purple Black Purple Purple Purple Orange\nPurple Purple Purple Orange Black Orange Purple Purple Purple\nPurple Orange Purple Orange Black Orange Purple Orange Purple\nPurple Orange Orange Purple Black Purple Orange Orange Purple\nPurple Purple Purple Orange Black Orange Purple Purple Purple\nPurple Orange Orange Orange Black Orange Orange Orange Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Purple Purple Purple Black Purple Purple Purple Orange\nOrange Purple Purple Orange Black Orange Purple Purple Orange\nOrange Purple Purple Orange Black Orange Purple Purple Orange\nPurple Orange Orange Orange Black Orange Orange Orange Purple\nOrange Orange Orange Purple Black Purple Orange Orange Orange\nOrange Purple Orange Purple Black Purple Orange Purple Orange\nOrange Purple Purple Orange Black Orange Purple Purple Orange\nOrange Orange Orange Purple Black Purple Orange Orange Orange\nOrange Purple Purple Purple Black Purple Purple Purple Orange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Yellow Yellow Black Black Black Black Black Black Pink Pink Orange Orange Black Black Purple Purple Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Pink Pink Orange Orange Black Black Purple Purple Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Brown Brown Orange Orange Pink Pink Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Brown Brown Orange Orange Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Blue Blue Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Blue Blue Black Black Black Black Orange Orange Black Black\nBlack Black Gray Gray Purple Purple Orange Orange Black Black Green Green Yellow Yellow Yellow Yellow Orange Orange Brown Brown\nBlack Black Gray Gray Purple Purple Orange Orange Black Black Green Green Yellow Yellow Yellow Yellow Orange Orange Brown Brown\nBlack Black Green Green Black Black Blue Blue Pink Pink Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Purple Purple\nBlack Black Green Green Black Black Blue Blue Pink Pink Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Purple Purple\nBlack Black Red Red Black Black Black Black Brown Brown Red Red Brown Brown Red Red Black Black Orange Orange\nBlack Black Red Red Black Black Black Black Brown Brown Red Red Brown Brown Red Red Black Black Orange Orange\nBlue Blue Blue Blue Black Black Pink Pink Gray Gray Brown Brown Black Black Blue Blue Brown Brown Black Black\nBlue Blue Blue Blue Black Black Pink Pink Gray Gray Brown Brown Black Black Blue Blue Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Blue Blue Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Blue Blue Green Green Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Green Green Black Black Pink Pink Orange Orange Red Red Yellow Yellow\nBrown Brown Black Black Black Black Black Black Green Green Black Black Pink Pink Orange Orange Red Red Yellow Yellow\n\nOutput:\nBlack Black Yellow Yellow Black Black Black Black Black Black Pink Pink Orange Orange Black Black Purple Purple Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Pink Pink Orange Orange Black Black Purple Purple Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Brown Brown Orange Orange Pink Pink Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Brown Brown Orange Orange Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Blue Blue Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Blue Blue Black Black Black Black Orange Orange Black Black\nBlack Black Gray Gray Purple Purple Orange Orange Black Black Green Green Yellow Yellow Yellow Yellow Orange Orange Brown Brown\nBlack Black Gray Gray Purple Purple Orange Orange Black Black Green Green Yellow Yellow Yellow Yellow Orange Orange Brown Brown\nBlack Black Green Green Black Black Blue Blue Pink Pink Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Purple Purple\nBlack Black Green Green Black Black Blue Blue Pink Pink Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Purple Purple\nBlack Black Red Red Black Black Black Black Brown Brown Red Red Brown Brown Red Red Black Black Orange Orange\nBlack Black Red Red Black Black Black Black Brown Brown Red Red Brown Brown Red Red Black Black Orange Orange\nBlue Blue Blue Blue Black Black Pink Pink Gray Gray Brown Brown Black Black Yellow Yellow Orange Orange Black Black\nBlue Blue Blue Blue Black Black Pink Pink Gray Gray Brown Brown Black Black Yellow Yellow Orange Orange Black Black\nBrown Brown Blue Blue Purple Purple Pink Pink Green Green Brown Brown Pink Pink Orange Orange Red Red Yellow Yellow\nBrown Brown Blue Blue Purple Purple Pink Pink Green Green Brown Brown Pink Pink Orange Orange Red Red Yellow Yellow\nBrown Brown Black Black Black Black Black Black Green Green Black Black Pink Pink Orange Orange Red Red Yellow Yellow\nBrown Brown Black Black Black Black Black Black Green Green Black Black Pink Pink Orange Orange Red Red Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow Yellow Orange Orange Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Orange Orange Black Black Black Black Pink Pink Black Black Black Black Black Black\nBrown Brown Purple Purple Purple Purple Brown Brown Black Black Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue\nBrown Brown Purple Purple Purple Purple Brown Brown Black Black Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue\nBlack Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Orange Orange Yellow Yellow Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Orange Orange Yellow Yellow Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Orange Orange Black Black Black Black Black Black Black Black Pink Pink Purple Purple Yellow Yellow\nRed Red Black Black Orange Orange Black Black Black Black Black Black Black Black Pink Pink Purple Purple Yellow Yellow\nPurple Purple Purple Purple Black Black Brown Brown Brown Brown Orange Orange Black Black Orange Orange Black Black Pink Pink\nPurple Purple Purple Purple Black Black Brown Brown Brown Brown Orange Orange Black Black Orange Orange Black Black Pink Pink\nBrown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Brown Brown Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Black Black Black Black Purple Purple\nGreen Green Brown Brown Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Orange Orange\nPurple Purple Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Orange Orange\nBlue Blue Purple Purple Green Green Black Black Pink Pink Black Black Purple Purple Black Black Black Black Black Black\nBlue Blue Purple Purple Green Green Black Black Pink Pink Black Black Purple Purple Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Yellow Orange Orange Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Orange Orange Black Black Black Black Pink Pink Black Black Black Black Black Black\nBrown Brown Purple Purple Purple Purple Brown Brown Black Black Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue\nBrown Brown Purple Purple Purple Purple Brown Brown Black Black Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue\nBlack Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Orange Orange Yellow Yellow Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Orange Orange Yellow Yellow Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Orange Orange Black Black Black Black Black Black Black Black Pink Pink Purple Purple Yellow Yellow\nRed Red Black Black Orange Orange Black Black Black Black Black Black Black Black Pink Pink Purple Purple Yellow Yellow\nPurple Purple Purple Purple Black Black Brown Brown Brown Brown Orange Orange Black Black Orange Orange Black Black Pink Pink\nPurple Purple Purple Purple Black Black Brown Brown Brown Brown Orange Orange Black Black Orange Orange Black Black Pink Pink\nBrown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Brown Brown Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Black Black Black Black Purple Purple\nGreen Green Brown Brown Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Black Black Black Black Purple Purple\nBlue Blue Purple Purple Green Green Blue Blue Pink Pink Blue Blue Purple Purple Orange Orange Purple Purple Purple Purple\nBlue Blue Purple Purple Green Green Blue Blue Pink Pink Blue Blue Purple Purple Orange Orange Purple Purple Purple Purple\nBlue Blue Purple Purple Green Green Black Black Pink Pink Black Black Purple Purple Black Black Black Black Black Black\nBlue Blue Purple Purple Green Green Black Black Pink Pink Black Black Purple Purple Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Brown Brown Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Brown Brown Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Orange Orange Blue Blue Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Orange Orange Blue Blue Black Black Black Black\nBlue Blue Black Black Purple Purple Black Black Green Green Black Black Black Black Black Black Orange Orange Black Black\nBlue Blue Black Black Purple Purple Black Black Green Green Black Black Black Black Black Black Orange Orange Black Black\nPink Pink Brown Brown Yellow Yellow Brown Brown Black Black Black Black Purple Purple Pink Pink Gray Gray Black Black\nPink Pink Brown Brown Yellow Yellow Brown Brown Black Black Black Black Purple Purple Pink Pink Gray Gray Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Pink Pink Black Black Brown Brown Black Black Brown Brown Black Black\nBlack Black Purple Purple Black Black Black Black Pink Pink Black Black Brown Brown Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Red Red Purple Purple Yellow Yellow Yellow Yellow Green Green Blue Blue Green Green Yellow Yellow Black Black\nOrange Orange Red Red Purple Purple Yellow Yellow Yellow Yellow Green Green Blue Blue Green Green Yellow Yellow Black Black\n\nOutput:\nBlack Black Brown Brown Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Brown Brown Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Orange Orange Blue Blue Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Orange Orange Blue Blue Black Black Black Black\nBlue Blue Black Black Purple Purple Black Black Green Green Black Black Black Black Black Black Orange Orange Black Black\nBlue Blue Black Black Purple Purple Black Black Green Green Black Black Black Black Black Black Orange Orange Black Black\nPink Pink Brown Brown Yellow Yellow Brown Brown Black Black Black Black Purple Purple Pink Pink Gray Gray Black Black\nPink Pink Brown Brown Yellow Yellow Brown Brown Black Black Black Black Purple Purple Pink Pink Gray Gray Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Pink Pink Black Black Brown Brown Black Black Brown Brown Black Black\nBlack Black Purple Purple Black Black Black Black Pink Pink Black Black Brown Brown Black Black Brown Brown Black Black\nBlack Black Black Black Purple Purple Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Red Red Purple Purple Yellow Yellow Yellow Yellow Green Green Blue Blue Green Green Yellow Yellow Orange Orange\nOrange Orange Red Red Purple Purple Yellow Yellow Yellow Yellow Green Green Blue Blue Green Green Yellow Yellow Orange Orange\nOrange Orange Red Red Purple Purple Yellow Yellow Yellow Yellow Green Green Blue Blue Green Green Yellow Yellow Black Black\nOrange Orange Red Red Purple Purple Yellow Yellow Yellow Yellow Green Green Blue Blue Green Green Yellow Yellow Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Black Black Green Green Gray Gray Pink Pink Black Black Black Black Black Black Gray Gray Black Black\nPink Pink Black Black Green Green Gray Gray Pink Pink Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Pink Pink Black Black Orange Orange Black Black Brown Brown Brown Brown Pink Pink Gray Gray Black Black\nBlack Black Pink Pink Black Black Orange Orange Black Black Brown Brown Brown Brown Pink Pink Gray Gray Black Black\nRed Red Brown Brown Black Black Black Black Pink Pink Red Red Blue Blue Gray Gray Pink Pink Black Black\nRed Red Brown Brown Black Black Black Black Pink Pink Red Red Blue Blue Gray Gray Pink Pink Black Black\nPurple Purple Purple Purple Orange Orange Brown Brown Green Green Green Green Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Orange Orange Brown Brown Green Green Green Green Black Black Black Black Black Black Black Black\nGray Gray Yellow Yellow Blue Blue Pink Pink Blue Blue Black Black Yellow Yellow Black Black Black Black Brown Brown\nGray Gray Yellow Yellow Blue Blue Pink Pink Blue Blue Black Black Yellow Yellow Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nOrange Orange Gray Gray Brown Brown Black Black Gray Gray Yellow Yellow Black Black Black Black Black Black Red Red\nOrange Orange Gray Gray Brown Brown Black Black Gray Gray Yellow Yellow Black Black Black Black Black Black Red Red\nBrown Brown Gray Gray Pink Pink Gray Gray Black Black Black Black Gray Gray Black Black Yellow Yellow Brown Brown\nBrown Brown Gray Gray Pink Pink Gray Gray Black Black Black Black Gray Gray Black Black Yellow Yellow Brown Brown\nBlue Blue Purple Purple Gray Gray Black Black Pink Pink Black Black Orange Orange Black Black Brown Brown Red Red\nBlue Blue Purple Purple Gray Gray Black Black Pink Pink Black Black Orange Orange Black Black Brown Brown Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Black Black Green Green Gray Gray Pink Pink Black Black Black Black Black Black Gray Gray Black Black\nPink Pink Black Black Green Green Gray Gray Pink Pink Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Pink Pink Black Black Orange Orange Black Black Brown Brown Brown Brown Pink Pink Gray Gray Black Black\nBlack Black Pink Pink Black Black Orange Orange Black Black Brown Brown Brown Brown Pink Pink Gray Gray Black Black\nRed Red Brown Brown Black Black Black Black Pink Pink Red Red Blue Blue Gray Gray Pink Pink Black Black\nRed Red Brown Brown Black Black Black Black Pink Pink Red Red Blue Blue Gray Gray Pink Pink Black Black\nPurple Purple Purple Purple Orange Orange Brown Brown Green Green Green Green Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Orange Orange Brown Brown Green Green Green Green Black Black Black Black Black Black Black Black\nGray Gray Yellow Yellow Blue Blue Pink Pink Blue Blue Black Black Yellow Yellow Black Black Black Black Brown Brown\nGray Gray Yellow Yellow Blue Blue Pink Pink Blue Blue Black Black Yellow Yellow Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nOrange Orange Gray Gray Brown Brown Black Black Gray Gray Yellow Yellow Gray Gray Black Black Black Black Red Red\nOrange Orange Gray Gray Brown Brown Black Black Gray Gray Yellow Yellow Gray Gray Black Black Black Black Red Red\nBrown Brown Gray Gray Pink Pink Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray Brown Brown\nBrown Brown Gray Gray Pink Pink Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray Brown Brown\nBrown Brown Gray Gray Pink Pink Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Brown Brown\nBrown Brown Gray Gray Pink Pink Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Gray Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black\nPurple Black Black Black Black Orange Green Black\nBlack Black Black Black Black Orange Green Black\nBlack Black Black Black Black Orange Green Black\nBlack Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Green Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Red\nBlack Black Black Black Orange Black Black Black\nBlack Black Black Black Orange Green Black Purple\nBlack Black Black Black Orange Green Black Black\nBlack Black Black Black Orange Green Black Black\nBlack Black Black Black Black Green Black Black\nBlack Black Black Black Black Green Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Purple Black\nBlack Black Red Black Black Purple Black\nBlack Black Black Black Black Black Gray\nGreen Green Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Purple Black Black\nBlack Red Black Black Purple Black Black\nBlack Black Black Black Black Gray Black\nGreen Black Black Black Black Black Green\nBlack Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Orange Black Black Black Black Orange\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Black Red Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Black Orange Black\nPink Pink Pink Pink Pink Orange Black\n\nOutput:\nBlack Red Black Black Black Black Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlue Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nPink Pink Pink Pink Orange Black Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nPurple Black Black Yellow Black Black Black Blue Blue\nBlack Black Black Yellow Black Red Red Red Red\nBlack Black Black Orange Black Black Black Black Black\nBrown Black Black 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 Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Blue Blue Purple\nBlack Black Yellow Black Red Red Red Red Black\nBlack Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Purple Purple Purple Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Purple Purple Purple Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Purple Purple Purple Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink\nBlue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink\nBlue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Pink Pink Pink\nBlue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Pink Pink Pink\nBlue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black\n\nOutput:\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink\nBlue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink\nBlue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink\nBlue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink\nBlue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Brown Brown Brown Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black\n\n\nExample 3\nInput:\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\n\nOutput:\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Pink Pink Pink\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black\nGray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red 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 Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red 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 Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Black Black Black Red Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Black Black Black Red Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Blue Blue Red Black Black Black Black\nBlack 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\nBlack 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\nBlack Black Black Black Black Black Red Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Blue Black Black Black Black Black Red Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack 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\nBlack 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\nBlack Black Black Black Black Black Red Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Blue Black Black Black Black Black Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black 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 Red Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black 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 Blue 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 Blue Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black 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 Red 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 Yellow Red Gray Orange\nGray Orange Green Brown Yellow Yellow Orange Orange\nRed Yellow Green Brown Yellow Green Green Purple\nYellow Yellow Yellow Yellow Yellow Brown Brown Purple\n\n\nExample 2\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 Gray Gray Blue Blue Orange\nBlue Orange Brown Brown Purple Brown Gray Gray Orange Orange\nBlue Gray Red Red Red Yellow Red Red Brown Purple\nGray Gray Red Blue Gray Gray Blue Red Brown Brown\nGray Brown Yellow Gray Pink Pink Gray Red Purple Orange\n\n\nExample 3\nInput:\nPink Blue Purple\nBlue Blue Yellow\nBlue Pink Red\n\nOutput:\nPink Blue Purple Blue Blue Pink\nBlue Blue Yellow Pink Blue Blue\nBlue Pink Red Red Yellow Purple\n\n\nHere is the input grid for the test example:\nInput:\nOrange Purple Red Yellow Yellow\nOrange Purple Purple Purple Yellow\nYellow Purple Purple Purple Purple\nYellow Green Gray Orange Green\nYellow Orange Blue 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```\nOrange Purple Red Yellow Yellow Yellow Yellow Yellow Orange Orange\nOrange Purple Purple Purple Yellow Orange Green Purple Purple Purple\nYellow Purple Purple Purple Purple Blue Gray Purple Purple Red\nYellow Green Gray Orange Green Blue Orange Purple Purple Yellow\nYellow Orange Blue Blue Green Green Green Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Blue Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Red 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 Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue 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\nBlack Red Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue 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\nBlack Red Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Red Red Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Blue Black Blue Red Red Blue Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Red Red Red Red Red Red 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Red Red Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Blue Black Blue Red Red Blue Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Red Red Red Red Red Red 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\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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Red Red Red Red Red Red Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlue Blue Black Black Black Black Black Black Red Red Black Black Red Red Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlue Blue Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 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\nPink 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\nPink 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\nPink 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\nPink 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\nPink 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\n\nOutput:\nBrown 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\nBrown 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\nBrown 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\nBrown 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\nBrown 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\nBrown 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\n\n\nExample 2\nInput:\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBrown 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\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nGreen 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\n\n\nDirectly provide the output grids corresponding to the given test input 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\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray\nOrange Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black Black\nPink Pink Pink Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black\nPink Pink Pink Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black\nPink Pink Pink Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black\nGreen Green Green Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nGreen Green Green Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nGreen Green Green Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\n\nOutput:\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray\nOrange Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black Black\nPink Pink Pink Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black\nPink Pink Pink Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black\nPink Pink Pink Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black\nGreen Green Green Green Green Green Purple Purple Purple Black Black Black Purple Purple Purple\nGreen Green Green Green Green Green Purple Purple Purple Black Black Black Purple Purple Purple\nGreen Green Green Green Green Green Purple Purple Purple Black Black Black Purple Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Red Red Red Purple Purple Purple Black Black Black Gray Gray Gray\nBlack Black Black Red Red Red Purple Purple Purple Black Black Black Gray Gray Gray\nBlack Black Black Red Red Red Purple Purple Purple Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Purple Purple Purple Black Black Black Purple Purple Purple Gray Gray Gray\nGreen Green Green Purple Purple Purple Black Black Black Purple Purple Purple Gray Gray Gray\nGreen Green Green Purple Purple Purple Black Black Black Purple Purple Purple Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Red Red Red Purple Purple Purple Black Black Black Gray Gray Gray\nBlack Black Black Red Red Red Purple Purple Purple Black Black Black Gray Gray Gray\nBlack Black Black Red Red Red Purple Purple Purple Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Purple Purple Purple Black Black Black Purple Purple Purple Gray Gray Gray\nGreen Green Green Purple Purple Purple Black Black Black Purple Purple Purple Gray Gray Gray\nGreen Green Green Purple Purple Purple Black Black Black Purple Purple Purple Gray Gray Gray\nGreen Green Green Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black\n\n\nExample 3\nInput:\nYellow Yellow Yellow Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nYellow Yellow Yellow Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nYellow Yellow Yellow Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Green Green Green Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Green Green Green Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nYellow Yellow Yellow Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nYellow Yellow Yellow Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Red Red Red Green Green Green Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Black Black Black Black Black Black\nBlack Black Black Red Red Red Green Green Green Black Black Black Black Black Black\nPurple Purple Purple Green Green Green Green Green Green Green Green Green Black Black Black\nPurple Purple Purple Green Green Green Green Green Green Green Green Green Black Black Black\nPurple Purple Purple Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Green Green Green Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Green Green Green Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Green Green Green Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nYellow Yellow Yellow Black Black Black Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Black Black Black Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Black Black Black Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Black Gray Black Brown Brown\nYellow Yellow Gray Pink Brown Brown\nYellow Yellow Gray Pink Brown Brown\nYellow Blue Gray Black Black Black\nBlack Blue Blue Blue Blue Blue\nBlue Blue Pink Pink Pink Pink\n\nOutput:\nBlack Black Black Black Black Brown\nBlack Black Black Black Black Brown\nBlack Black Black Black Black Brown\nBlack Black Black Black Black Brown\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Pink Green Black Black\nBlack Purple Purple Orange Blue Green Green Black Black\nBlack Black Blue Orange Blue Green Green Black Black\nBlack Purple Purple Orange Blue Pink Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Gray Pink Yellow Pink Black Pink Red Pink\nBlack Black Pink Pink Pink Black Red Pink Red\nBlack Black Pink Black Black Black Red Brown Red\nBlack Black Black Black Black Black Brown Black Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Blue\nBlack Black Blue Blue Blue Blue\nBlack Black Purple Purple Black Blue\nBlack Black Yellow Yellow Gray Blue\nBlack Black Gray Gray Brown Black\nBlack Black Black Black Brown Blue\n\nOutput:\nBlack Black Black Black Black Yellow\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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Green Green Green Black Black Black\nBlack Green Green Green Black Blue Orange\nBlue Brown Brown Blue Black Orange Red\nBrown Brown Brown Brown Black Red Red\nPurple Yellow Yellow Black Black Red Red\nPurple Yellow Yellow Gray Black Red Red\nPurple Yellow Yellow Black Black Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Green Green Green Green Green\nBlack Black Black Green Green Green Green\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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\n\nOutput:\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Purple Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nRed Red Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack 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 Black Black\nBlack Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nBlack 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 Black Black\nBlack 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 Black Black\nBlack 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 Black Black\nBlack 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 Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlue Blue Black Black Black Black Black Black Black Black Black Black Orange Orange\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 Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\n\nExample 3\nInput:\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Brown Brown\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Pink Pink Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Pink Pink Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Gray Gray\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Gray Gray\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 Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack 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 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 Pink Black Black Black Black Black Pink Pink Black Black Black\nBlack Pink Pink Black Pink Pink Pink Pink Black Black Black Red\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Orange Black\nBlack Black Pink Pink Pink Pink Black Pink Pink Black Black Black\nBlack Pink Pink Black Black Black Gray Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Black Black Black Black Black Pink Pink\nPink Pink Black Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black Pink Pink\nPink Pink Black Black Black Gray Black Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Purple Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black\n\nOutput:\nBlack Brown Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Pink Blue Pink Black Black Black Black\nBlack Black Black Black Pink Pink Blue Pink Blue Blue Black Black\nBlack Black Black Pink Pink Pink Pink Blue Blue Blue Black Black\nBlack Black Black Pink Pink Blue Pink Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Pink Blue Black Black\nBlack Black Pink Pink Pink Blue Pink Blue Blue Blue Black Black\nBlack Black Black Pink Pink Pink Pink Blue Blue Blue Black Black\nBlack Black Black Black Pink Pink Blue Pink Blue Blue Black Black\nBlack Black Black Black Blue Pink Blue Pink Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown\n\nOutput:\nBlack Black Blue Pink Blue Pink Black Black\nBlack Black Pink Pink Blue Pink Blue Blue\nBlack Pink Pink Pink Pink Blue Blue Blue\nBlack Pink Pink Blue Pink Blue Blue Blue\nBlack Black Black Black Black Blue Pink Blue\nPink Pink Pink Blue Pink Blue Blue Blue\nBlack Pink Pink Pink Pink Blue Blue Blue\nBlack Black Pink Pink Blue Pink Blue Blue\nBlack Black Blue Pink Blue Pink Black Black\nBlack Black Black Black Black Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Blue Blue Blue Black Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Orange Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Black Black Black Black Black Black Black Black\nBlue Blue Black Blue Blue Blue Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Purple Purple Purple Green Green Green Green\nGreen Green Green Green Green Green Purple Purple Purple Green Green Green Green\nGreen Green Green Green Green Green Purple Purple Purple Green Green Green Green\nGreen Green Green Green Green Green Purple Purple Purple Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Gray Gray Gray Orange Orange Orange Orange Gray Gray\nGray Gray Gray Gray Orange Orange Orange Orange Gray Gray\nGray Gray Gray Gray Orange Orange Orange Orange Gray Gray\nGray Gray Gray Gray Orange Orange Orange Orange Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Green Green Red Red Red Red Red Red Red Red\nRed Green Green 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```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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 Red Red Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Green Black Red Yellow Black\nBlue Orange Black Black Black Black\nOrange Black Green Black Black Gray\nBlack Black Black Black Black Pink\n\nOutput:\nPink Black Black Black Black Black Black Black Black Black Black Pink\nGray Black Black Green Black Orange Orange Black Green Black Black Gray\nBlack Black Black Black Orange Blue Blue Orange Black Black Black Black\nBlack Yellow Red Black Green Purple Purple Green Black Red Yellow Black\nBlack Yellow Red Black Green Purple Purple Green Black Red Yellow Black\nBlack Black Black Black Orange Blue Blue Orange Black Black Black Black\nGray Black Black Green Black Orange Orange Black Green Black Black Gray\nPink Black Black Black Black Black Black Black Black Black Black Pink\n\n\nExample 2\nInput:\nPurple Blue Orange Black\nBlack Green Black Orange\nPink Purple Brown Brown\nBlack Black Brown Red\nBlack Red Black Black\n\nOutput:\nBlack Black Red Black Black Red Black Black\nRed Brown Black Black Black Black Brown Red\nBrown Brown Purple Pink Pink Purple Brown Brown\nOrange Black Green Black Black Green Black Orange\nBlack Orange Blue Purple Purple Blue Orange Black\nBlack Orange Blue Purple Purple Blue Orange Black\nOrange Black Green Black Black Green Black Orange\nBrown Brown Purple Pink Pink Purple Brown Brown\nRed Brown Black Black Black Black Brown Red\nBlack Black Red Black Black Red Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Brown\nBrown Black Black Gray Orange\nBlack Gray Brown Black Purple\nGreen Yellow Black Black Gray\nPink Blue Black Red Black\n\nOutput:\nBlack Red Black Blue Pink Pink Blue Black Red Black\nGray Black Black Yellow Green Green Yellow Black Black Gray\nPurple Black Brown Gray Black Black Gray Brown Black Purple\nOrange Gray Black Black Brown Brown Black Black Gray Orange\nBrown Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Brown\nOrange Gray Black Black Brown Brown Black Black Gray Orange\nPurple Black Brown Gray Black Black Gray Brown Black Purple\nGray Black Black Yellow Green Green Yellow Black Black Gray\nBlack Red Black Blue Pink Pink Blue Black Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray\nBlack Blue Black\nBlack 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```\nGray Black Black Black Black Gray\nBlack Blue Black Black Blue Black\nGray Black Black Black Black Gray\nGray Black Black Black Black Gray\nBlack Blue Black Black Blue Black\nGray Black Black Black Black Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black\n\nOutput:\nBlack Black Red Red Red Red\nBlack Black Red Red Red Red\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\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black\nBlack Green Green Green Black Black Black Black\nBlack Green Green Green Black Black Black Black\nGreen Green Green Black Black Black Black Black\nGreen Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Black Black\nBlack Black Black Green Green Green Black Black\n\nOutput:\nBlack Black Black Black Red Red\nBlack Black Black Black Red Red\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\nExample 3\nInput:\nBlack Black Black Green Green Green Black Black\nBlack Black Black Green Green Green Black Black\nGreen Green Green Green Green Green Black Black\nGreen Green Green Black Black Green Green Green\nGreen Green Green Black Black Green Green Green\nBlack Black Green Green Green Green Green Green\nBlack Black Green Green Green Black Black Black\nBlack Black Green Green Green Black Black Black\n\nOutput:\nBlack Black Black Black Red Red\nBlack Black Black Black Red Red\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 Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black\nGreen Green Green Green Green Green Green Green Green Black\nGreen Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Green Green Green Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Red Red\nBlack Black Red Red Red Red\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Black Black Gray Black Purple Brown Yellow Yellow Black Yellow\nBlack Blue Black Purple Black Black Yellow Yellow Purple Black Black Black\nGray Brown Blue Yellow Gray Yellow Blue Black Black Brown Black Blue\nBlack Black Brown Purple Black Black Black Black Black Brown Blue Purple\nYellow Black Black Black Yellow Black Black Yellow Black Black Yellow Brown\nBlack Black Purple Blue Black Gray Black Black Blue Purple Blue Gray\nBlack Brown Black Purple Blue Blue Blue Black Yellow Purple Gray Yellow\nBlack Black Brown Gray Black Blue Black Black Gray Black Blue Purple\n\nOutput:\nBlue Blue Black Purple Gray Black Yellow Yellow Purple Yellow Black Yellow\nGray Brown Blue Yellow Gray Yellow Blue Yellow Purple Brown Black Blue\nGray Brown Brown Purple Gray Yellow Blue Black Black Brown Blue Purple\nYellow Black Brown Purple Yellow Black Black Yellow Black Brown Yellow Brown\nYellow Black Purple Blue Yellow Gray Black Yellow Blue Purple Blue Gray\nBlack Brown Purple Purple Blue Blue Blue Black Yellow Purple Gray Yellow\nBlack Brown Brown Gray Blue Blue Blue Black Gray Purple Blue Purple\nBlack Black Brown Gray Black Blue Black Black Gray Black Blue Purple\n\n\nExample 2\nInput:\nPurple Purple Black Black Black Black Black Black Black Purple\nPink Purple Purple Black Green Gray Black Black Pink Green\nGreen Orange Black Black Gray Orange Orange Black Green Black\nBlack Black Black Pink Black Black Black Black Black Orange\nBlack Gray Black Black Orange Pink Black Pink Black Pink\nPink Black Orange Black Green Black Black Black Black Black\nPurple Green Black Orange Orange Orange Black Orange Black Black\n\nOutput:\nPink Purple Purple Black Green Gray Black Black Pink Green\nGreen Orange Purple Black Gray Orange Orange Black Green Green\nGreen Orange Black Pink Gray Orange Orange Black Green Orange\nBlack Gray Black Pink Orange Pink Black Pink Black Pink\nPink Gray Orange Black Green Pink Black Pink Black Pink\nPurple Green Orange Orange Orange Orange Black Orange Black Black\nPurple Green Black Orange Orange Orange Black Orange Black Black\n\n\nExample 3\nInput:\nBlue Green Pink Black Black Black Black Black Black Black Blue\nBlack Green Black Green Pink Blue Green Blue Gray Black Blue\nPink Gray Black Black Black Black Black Gray Yellow Yellow Black\nGreen Gray Black Gray Black Black Black Black Black Blue Black\nGreen Pink Black Black Black Gray Black Black Black Black Gray\nBlack Yellow Black Black Yellow Blue Black Black Blue Black Black\nGray Green Blue Black Black Yellow Gray Black Black Green Black\n\nOutput:\nBlue Green Pink Green Pink Blue Green Blue Gray Black Blue\nPink Gray Black Green Pink Blue Green Gray Yellow Yellow Blue\nGreen Gray Black Gray Black Black Black Gray Yellow Blue Black\nGreen Pink Black Gray Black Gray Black Black Black Blue Gray\nGreen Yellow Black Black Yellow Blue Black Black Blue Black Gray\nGray Green Blue Black Yellow Yellow Gray Black Blue Green Black\nGray Green Blue Black Black Yellow Gray Black Black Green Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Brown Black Black Purple Black Black Black\nBlack Gray Gray Blue Brown Brown Blue Brown Black\nBrown Black Gray Black Gray Purple Blue Black Gray\nPurple Brown Purple Brown Black Black Brown Black Black\nBlack Black Black Purple Black Blue Purple Red Gray\nBlack Blue Black Red Black Black Black Black Black\nBrown Purple Black Black Gray Brown Gray Red Red\nBlack Black Black Black Brown Black Black Red Black\nBlack Blue Black Red 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```\nGray Gray Gray Blue Brown Brown Blue Brown Black\nBrown Gray Gray Blue Gray Purple Blue Brown Gray\nPurple Brown Purple Brown Gray Purple Brown Black Gray\nPurple Brown Purple Purple Black Blue Purple Red Gray\nBlack Blue Black Red Black Blue Purple Red Gray\nBrown Purple Black Red Gray Brown Gray Red Red\nBrown Purple Black Black Brown Brown Gray Red Red\nBlack Blue Black Red Brown Black Black Red Blue\nBlack Blue Black Red Black Black Black Black Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Orange Black Black Black Purple Black Orange Black Black\nBlack Black Yellow Black Black Black Black Orange Purple Black Black Black\nOrange Purple Black Black Black Yellow Black Black Black Orange Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Orange Black Yellow Orange Black Black\nBlack Black Black Black Black Orange Black Black Black Orange Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Yellow Black Black Black Orange Black Yellow Black Black\nBlack Black Purple Black Black Black Black Yellow Orange Black Black Black\nYellow Orange Black Black Black Purple Black Black Black Yellow Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Yellow Black Purple Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black\nBlack Black Black Black Purple 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 Yellow\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nYellow Yellow 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 Purple\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Purple Black Black Purple Black Black Black Yellow\nPurple Black Black Orange Black Black Black Black Black Purple Black\nBlack Yellow Black Black Black Black Black Yellow Black Black Black\nBlack Purple Black Black Black Orange Black Black Black Black Black\nBlack Black Black Yellow Black Black Purple Black Yellow Black Black\nBlack Yellow Black Black Black Black Black Black Yellow Black Black\nBlack Black Orange Black Black Black Purple Orange Black Black Black\n\nOutput:\nBlack Black Black Orange Black Black Orange Black Black Black Purple\nOrange Black Black Yellow Black Black Black Black Black Orange Black\nBlack Purple Black Black Black Black Black Purple Black Black Black\nBlack Orange Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Purple Black Black Orange Black Purple Black Black\nBlack Purple Black Black Black Black Black Black Purple Black Black\nBlack Black Yellow Black Black Black Orange Yellow Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Purple Black Orange Purple Yellow Black Orange\nYellow Black Orange Black Black Black Purple Black Orange\nPurple Yellow Black Purple Black Orange Purple Purple Black\nPurple Yellow Purple Black Yellow Black Yellow Orange Black\nBlack Black Yellow Yellow Purple Black Black Orange Purple\nBlack Black Purple Black Orange Black Purple Black Purple\nBlack Purple Purple Black Orange Black Orange Yellow Black\nBlack Black Orange Yellow Black Yellow Black Black Black\nBlack Black Black Black Orange Purple Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Orange Black Yellow Orange Purple Black Yellow\nPurple Black Yellow Black Black Black Orange Black Yellow\nOrange Purple Black Orange Black Yellow Orange Orange Black\nOrange Purple Orange Black Purple Black Purple Yellow Black\nBlack Black Purple Purple Orange Black Black Yellow Orange\nBlack Black Orange Black Yellow Black Orange Black Orange\nBlack Orange Orange Black Yellow Black Yellow Purple Black\nBlack Black Yellow Purple Black Purple Black Black Black\nBlack Black Black Black Yellow Orange Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Green\nRed Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red\nRed 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```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Red Red Black Red Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Black Red Black\nRed Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black 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\n\nOutput:\nBlue Black Blue Black Black\nBlack Blue Black Black Black\nBlue Black Blue Black Black\nBlack Blue Black Black Black\nBlue Black Blue Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Black Black Red Black\nBlack Black Black Black Black Black Black Black Red\nBlack Red Black Black Black Red Black Black Black\nBlack Black Red Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red 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 Black Black Black Red\n\nOutput:\nBlue Black Blue Black Black\nBlack Blue Black Blue Black\nBlue Black Blue Black Black\nBlack Blue Black Blue Black\nBlue Black Blue Black Black\n\n\nExample 3\nInput:\nRed Black Black Black Red 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 Black Black Red Black\nBlack Black Black Black Black Black Red Black Black\nBlack Black Black Red Black Black Black Red Black\nBlack Red Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Black\n\nOutput:\nBlue Black Blue Black Black\nBlack Blue Black Blue Black\nBlue Black Blue Black Black\nBlack Blue Black Blue Black\nBlue Black Blue Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red 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 Red Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Black Black Black\nBlack Blue Black Black Black\nBlue Black Black Black Black\nBlack Blue Black Black Black\nBlue 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Green Green\nBlack Black Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Black\nGreen Green Green 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 Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray\nGray Gray Gray Gray Black\nGray Gray Black Black Black\nGray Gray Black Black Black\nGray Gray 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 Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red\nBlack Red Red Red Red\nBlack Red Black Black Black\nBlack Red Red Red Red\nRed Red Red Red Red\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 Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Gray Black Black\nBlack Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Black\nBlack Black 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:\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow\nPurple Purple Yellow Yellow Yellow Yellow Yellow Yellow Red\nPurple Purple Yellow Yellow Yellow Yellow Yellow Yellow Red\nPurple Purple Purple Purple Red Red Yellow Yellow Yellow\nPurple Purple Purple Purple Red Red Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Yellow Yellow Yellow Yellow Green Green Green\nGreen Green Yellow Yellow Yellow Yellow Green Green Green\nYellow Yellow Green Green Green Green Green Green Black\nYellow Yellow Green Green Green Green Green Green Black\nYellow Yellow Yellow Yellow Blue Blue Green Green Green\nYellow Yellow Yellow Yellow Blue Blue Green Green Green\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Red Red Yellow\nYellow Yellow Yellow Yellow Red Red Yellow\nPurple Purple Yellow Yellow Purple Purple Red\nPurple Purple Yellow Yellow Purple Purple Red\nRed Red Purple Purple Red Red Yellow\nRed Red Purple Purple Red Red Yellow\nPurple Purple Red Red Purple Purple Purple\nBlack Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Blue Blue Black\nGreen Green Green Green Blue Blue Black\nYellow Yellow Green Green Yellow Yellow Black\nYellow Yellow Green Green Yellow Yellow Black\nBlue Blue Yellow Yellow Blue Blue Black\nBlue Blue Yellow Yellow Blue Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nRed Red Red Red Yellow Yellow Purple Purple\nRed Red Red Red Yellow Yellow Purple Purple\nPurple Purple Purple Purple Purple Purple Red Red\nPurple Purple Purple Purple Purple Purple Red Red\nYellow Yellow Red Red Yellow Yellow Purple Purple\nYellow Yellow Red Red Yellow Yellow Purple Purple\nYellow Yellow Red Red Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Green Green Yellow Yellow\nBlue Blue Blue Blue Green Green Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nGreen Green Blue Blue Green Green Yellow Yellow\nGreen Green Blue Blue Green Green Yellow Yellow\nGreen Green Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Red Red\nPurple Purple Purple Purple Red Red\nPurple Purple Red Red Yellow Yellow\nPurple Purple Red Red Yellow Yellow\nPurple Purple Red Red Red Red\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Blue Blue\nYellow Yellow Yellow Yellow Blue Blue\nYellow Yellow Blue Blue Green Green\nYellow Yellow Blue Blue Green Green\nYellow Yellow Blue Blue Black Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Pink Black Black Black Black Black Gray Black Black\nBlack Black Black Orange Black Black Orange Blue Black Yellow\nBlack Black Black Orange Black Black Purple Black Black Black\nBlack Orange Yellow Black Orange Black Pink Black Black Purple\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Red Black Black Black Purple Orange Black\nOrange Black Black Gray Black Black Yellow Black Black Black\nPurple Black Black Black Blue Black Black Black Pink Black\nBlack Orange Black Brown Black Black Black Orange Yellow Red\nPink Black Pink Red Black Black Black Black Black Black\n\nOutput:\nPink Black Pink Pink Pink Pink Pink Green Pink Pink\nPink Pink Pink Orange Pink Pink Orange Red Pink Blue\nPink Pink Pink Orange Pink Pink Brown Pink Pink Pink\nPink Orange Blue Pink Orange Pink Black Pink Pink Brown\nPink Pink Pink Pink Pink Black Pink Pink Pink Pink\nPink Pink Pink Blue Pink Pink Pink Brown Orange Pink\nOrange Pink Pink Green Pink Pink Blue Pink Pink Pink\nBrown Pink Pink Pink Red Pink Pink Pink Black Pink\nPink Orange Pink Purple Pink Pink Pink Orange Blue Blue\nBlack Pink Black Blue Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nOrange Black Red Black Red Black Black Black Black Black\nBrown Brown Black Purple Black Black Pink Black Yellow Black\nBlack Black Black Black Purple Black Black Black Blue Purple\nBlack Gray Pink Black Black Black Yellow Black Black Black\nBlack Brown Black Black Purple Yellow Black Black Black Red\nBlack Green Pink Black Black Black Black Blue Black Black\nBlack Green Pink Green Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Purple Black\nBlack Black Purple Black Black Blue Black Black Black Black\nBlack Blue Green Yellow Black Black Black Blue Pink Orange\n\nOutput:\nOrange Pink Blue Pink Blue Pink Pink Pink Pink Pink\nPurple Purple Pink Brown Pink Pink Black Pink Blue Pink\nPink Pink Pink Pink Brown Pink Pink Pink Red Brown\nPink Green Black Pink Pink Pink Blue Pink Pink Pink\nPink Purple Pink Pink Brown Blue Pink Pink Pink Blue\nPink Gray Black Pink Pink Pink Pink Red Pink Pink\nPink Gray Black Gray Pink Pink Pink Pink Pink Pink\nPink Pink Red Pink Pink Pink Pink Pink Brown Pink\nPink Pink Brown Pink Pink Red Pink Pink Pink Pink\nPink Red Gray Blue Pink Pink Pink Red Black Orange\n\n\nExample 3\nInput:\nBlack Black Red Black Blue Pink Gray Black Black Yellow\nBlack Black Black Black Brown Black Black Black Orange Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nYellow Black Black Black Black Black Black Purple Black Black\nGray Black Black Gray Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Brown Yellow\nGreen Yellow Black Black Black Gray Black Brown Yellow Gray\nBlack Black Black Black Black Pink Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Orange\n\nOutput:\nPink Pink Blue Pink Red Black Green Pink Pink Blue\nPink Pink Pink Pink Purple Pink Pink Pink Orange Pink\nPink Pink Pink Pink Pink Purple Pink Pink Pink Pink\nPink Pink Pink Pink Pink Orange Pink Pink Pink Pink\nBlue Pink Pink Pink Pink Pink Pink Brown Pink Pink\nGreen Pink Pink Green Pink Pink Pink Pink Pink Pink\nPink Gray Pink Pink Pink Pink Pink Pink Purple Blue\nGray Blue Pink Pink Pink Green Pink Purple Blue Green\nPink Pink Pink Pink Pink Black Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Black Black Black Black Gray Gray Black Black\nOrange Black Purple Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Green Black Green Black\nBlack Purple Black Black Black Black Brown Black Black Blue\nBlack Yellow Black Black Blue Black Black Black Black Orange\nBlack Black Black Black Red Black Black Black Brown Black\nOrange Black Yellow Gray Black Black Black Black Black Black\nBlack Black Red Pink Black Black Black Pink Purple Blue\nGray Black Black Black Black Black Black Red Black Black\nGreen Gray Black Pink Black Black Black Green Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Green Pink Pink Pink Pink Green Green Pink Pink\nOrange Pink Brown Pink Pink Pink Pink Pink Red Pink\nPink Pink Pink Pink Pink Pink Gray Pink Gray Pink\nPink Brown Pink Pink Pink Pink Purple Pink Pink Red\nPink Blue Pink Pink Red Pink Pink Pink Pink Orange\nPink Pink Pink Pink Blue Pink Pink Pink Purple Pink\nOrange Pink Blue Green Pink Pink Pink Pink Pink Pink\nPink Pink Blue Black Pink Pink Pink Black Brown Red\nGreen Pink Pink Pink Pink Pink Pink Blue Pink Pink\nGray Green Pink Black Pink Pink Pink Gray Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Purple Purple Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red 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 Brown Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Brown Black Black Black Black Black Black Brown Black Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Orange\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Pink Pink Pink 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nPurple Purple Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Purple Purple\nPurple Purple Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Green Green Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Green Green Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Green Green Black Black Black Pink Pink Pink 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 Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\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 Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Gray Gray Gray Gray Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Gray Gray Gray Gray Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black 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 Black Black Black Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Black\nPink Pink Black Black Black Black Black Brown Brown Brown Black\nPink Pink Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Purple Purple Black Brown Brown Brown Black Black\nBlack Black Black Purple Purple Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown\nBlack Pink Pink Black Black Black Black Black Brown Brown Brown\nPink Pink Pink Black Black Black Black Black Brown Brown Brown\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 Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Blue Black Orange Orange Black\nBlack Black Black Black Black Black Red Black Blue Black Black Black Black\nBlack 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\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 Blue Blue Black\nBlack Gray Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Orange Orange\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black 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\nBlack Black 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 Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Brown Brown Brown Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Blue Green Yellow Yellow Yellow Red Green\nRed Yellow Black Green Black Green Red Green\nYellow Green Green Green Black Black Red Red\nBlue Blue Blue Black Green Green Yellow Black\nGreen Red Blue Green Red Green Red Red\nBlue Green Green Blue Blue Green Green Red\nRed Yellow Blue Red Red Black Black Red\nBlue Red Red Yellow Blue Yellow Yellow Green\nGreen Green Red Green Blue Blue Red Green\nBlack Green Blue Green Yellow Red Red Green\nBlue Red Yellow Black Black Green Yellow Yellow\nYellow Blue Red Green Red Black Black Blue\nBlue Blue Green Black Yellow Yellow Black Blue\nBlue Black Yellow Black Red Black Red Black\nYellow Blue Blue Blue Blue Red Blue Green\nGreen Black Yellow Black Red Green Green Black\nRed Black Yellow Blue Black Blue Red Blue\nBlue Black Green Red Blue Blue Green Yellow\n\nOutput:\nOrange Blue Yellow Yellow Yellow Yellow Blue Yellow\nBlue Orange Black Yellow Black Yellow Blue Yellow\nOrange Yellow Yellow Yellow Black Black Blue Blue\nBlue Blue Blue Black Yellow Yellow Yellow Black\nYellow Blue Blue Yellow Blue Yellow Blue Blue\nBlue Yellow Yellow Blue Blue Yellow Yellow Blue\nBlue Orange Blue Blue Blue Black Black Blue\nBlue Blue Blue Orange Blue Orange Yellow Yellow\nYellow Yellow Blue Yellow Blue Blue Blue Yellow\nBlack Yellow Blue Yellow Orange Blue Blue Yellow\nBlue Blue Orange Black Black Yellow Yellow Orange\nOrange Blue Blue Yellow Blue Black Black Blue\nBlue Blue Yellow Black Yellow Yellow Black Blue\nBlue Black Orange Black Blue Black Blue Black\nOrange Blue Blue Blue Blue Blue Blue Yellow\nYellow Black Orange Black Blue Yellow Yellow Black\nBlue Black Orange Blue Black Blue Blue Blue\nBlue Black Yellow Blue Blue Blue Yellow Orange\n\n\nExample 2\nInput:\nGreen Yellow Green Green Black Red Red Blue Black Black\nRed Green Yellow Black Green Yellow Blue Green Yellow Black\nGreen Black Yellow Black Green Red Yellow Green Blue Red\nYellow Red Yellow Black Yellow Yellow Blue Blue Yellow Green\nBlue Blue Blue Red Red Red Yellow Yellow Red Black\nBlue Red Black Red Black Red Green Red Green Black\nGreen Black Red Blue Green Blue Yellow Red Yellow Blue\n\nOutput:\nYellow Yellow Yellow Yellow Black Blue Blue Blue Black Black\nBlue Yellow Yellow Black Yellow Orange Blue Yellow Orange Black\nYellow Black Yellow Black Yellow Blue Orange Yellow Blue Blue\nOrange Blue Orange Black Yellow Orange Blue Blue Orange Yellow\nBlue Blue Blue Blue Blue Blue Orange Orange Blue Black\nBlue Blue Black Blue Black Blue Yellow Blue Yellow Black\nYellow Black Blue Blue Yellow Blue Orange Blue Orange Blue\n\n\nExample 3\nInput:\nBlack Blue Red Black Blue Blue Red Red Yellow Red Yellow\nBlack Red Yellow Green Yellow Red Blue Yellow Blue Red Black\nBlack Blue Blue Red Green Black Green Black Red Yellow Red\nGreen Black Blue Black Red Blue Red Yellow Black Red Green\nBlack Yellow Black Green Green Yellow Yellow Green Black Yellow Blue\nRed Red Red Blue Black Blue Blue Yellow Red Green Green\nBlack Red Blue Black Green Green Blue Yellow Yellow Red Black\n\nOutput:\nBlack Blue Blue Black Blue Blue Blue Blue Orange Blue Yellow\nBlack Blue Orange Yellow Orange Blue Blue Orange Blue Blue Black\nBlack Blue Blue Blue Yellow Black Yellow Black Blue Yellow Blue\nYellow Black Blue Black Blue Blue Blue Yellow Black Blue Yellow\nBlack Yellow Black Yellow Yellow Orange Orange Yellow Black Orange Blue\nBlue Blue Blue Blue Black Blue Blue Orange Blue Yellow Yellow\nBlack Blue Blue Black Yellow Yellow Blue Orange Yellow Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Green Blue Yellow Green Blue Blue Green\nGreen Blue Yellow Black Red Black Blue Yellow Green\nGreen Red Green Blue Green Black Black Yellow Black\nRed Yellow Black Red Yellow Red Red Green Green\nYellow Green Blue Red Yellow Blue Red Blue Black\nBlue Black Green Black Blue Yellow Red Green Red\nGreen Green Black Green Red Black Yellow Green Red\nYellow Blue Red Red Yellow Red Black Black Red\nRed Blue Yellow Black Red Blue 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 Orange Yellow Blue Orange Yellow Blue Blue Yellow\nYellow Blue Orange Black Blue Black Blue Orange Yellow\nYellow Blue Yellow Blue Yellow Black Black Yellow Black\nBlue Yellow Black Blue Yellow Blue Blue Yellow Yellow\nOrange Yellow Blue Blue Orange Blue Blue Blue Black\nBlue Black Yellow Black Blue Orange Blue Yellow Blue\nYellow Yellow Black Yellow Blue Black Yellow Yellow Blue\nOrange Blue Blue Blue Yellow Blue Black Black Blue\nBlue Blue Orange Black Blue Blue Black Yellow Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Orange Blue Blue Black Black Purple\nBlack Black Black Black Blue Orange Black Black Black Black\nOrange Orange Orange Black Orange Blue Blue Black Black Black\nBlue Blue Orange Black Black Black Black Black Black Black\nBlack Blue Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Orange Orange Black\nBlack Black Black Black Blue Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Orange Orange\n\nOutput:\nOrange Blue Blue\nBlue Orange Black\nOrange Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Yellow Blue Yellow Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Blue Black Blue 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 Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Blue Yellow\nBlue Blue Blue\nBlue Black Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Yellow Black Black Black Black Black Blue Blue\nBlack Yellow Yellow Yellow Black Black Black Black Black Blue\nBlack Black Yellow 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 Yellow Black\nYellow Blue Blue Black Black Black Blue Blue Blue Black\nBlack Black Blue Black Black Black Black Black Yellow Black\n\nOutput:\nBlue Blue Blue\nBlack Blue Blue\nBlack Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Blue Black Black Black Black Blue Blue Black\nPink Pink Pink Black Black Black Blue Blue Pink Black\nPink Blue Pink Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Blue Blue\nBlue Blue Pink\nBlack Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Orange Red Orange Black Black\nBlack Gray Orange Orange Red Yellow Black\nBlack Yellow Yellow Orange Red Yellow Black\nBlack Black Red Red Orange Yellow Black\nBlack Black Orange Red Red Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Orange Red Red Black Black Red Red Orange Black\nBlack Red Red Orange Yellow Yellow Orange Red Red Black\nYellow Yellow Orange Red Yellow Yellow Red Orange Yellow Yellow\nGray Orange Orange Red Yellow Yellow Red Orange Orange Gray\nBlack Orange Red Orange Black Black Orange Red Orange Black\nBlack Orange Red Orange Black Black Orange Red Orange Black\nGray Orange Orange Red Yellow Yellow Red Orange Orange Gray\nYellow Yellow Orange Red Yellow Yellow Red Orange Yellow Yellow\nBlack Red Red Orange Yellow Yellow Orange Red Red Black\nBlack Orange Red Red Black Black Red Red Orange Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Orange Red Orange Black\nBlack Orange Brown Orange Black\nBlack Green Black Green Black\nBlack Black Black Black Black\n\nOutput:\nGreen Black Green Green Black Green\nOrange Brown Orange Orange Brown Orange\nOrange Red Orange Orange Red Orange\nOrange Red Orange Orange Red Orange\nOrange Brown Orange Orange Brown Orange\nGreen Black Green Green Black Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Red Red Black Red Black\nBlack Red Red Red Black Black\nBlack Black Red Red Black Black\nBlack Red Red Black Red Black\nBlack Black Black Black Black Black\n\nOutput:\nRed Red Black Red Red Black Red Red\nBlack Red Red Black Black Red Red Black\nRed Red Red Black Black Red Red Red\nRed Red Black Red Red Black Red Red\nRed Red Black Red Red Black Red Red\nRed Red Red Black Black Red Red Red\nBlack Red Red Black Black Red Red Black\nRed Red Black Red Red Black Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Red Red Red Black Black\nBlack Red Red Red Red Red Black\nBlack Red Red Red Red Red Black\nBlack Red Red Red Red Black Black\nBlack Black Red Red Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Red Red Black Black Black Black Red Red Black\nRed Red Red Red Black Black Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Black Black Red Red Red Black\nBlack Red Red Red Black Black Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Black Black Red Red Red Red\nBlack Red Red Black Black Black Black Red Red Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Orange Black Black Green Black Black Black\nBlack Black Black Orange Black Black Black Black\nBlack Green Black Black Black Green Black Black\nBlack Black Yellow Black Black Blue Black Black\nBlack Gray Black Black Black Black Black Black\nOrange Black Black Red Black Black Black Gray\nBlack Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black\nBlack Black Blue Black Black Gray Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black\nBlack Black Pink Black Green Black Black Black\nBlack Black Green Blue Green Black Black Black\nBlack Orange Yellow Black Blue Orange Black Black\nBlack Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Green Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Blue Black Black Pink Yellow\nYellow Black Black Blue Black Black Black Black Black Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Yellow Black Blue Black Black Black Black\nBlack Black Black Green Red Green Black Black Black Black\nBlack Black Black Green Black Blue Orange Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Yellow Black Black Black Black Black Orange\nBlack Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black\nRed Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Black Black Black Black\nBlack Black Black Orange Black Black Black Gray Black Yellow 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 Orange Black Green Black Black Black Black\nBlack Black Black Black Yellow Blue Yellow Black Black Black Black\nBlack Black Black Black Pink Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Orange 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:\nOrange Black Black Black Black Black Black Black Black\nGreen Red Green Pink Black Black Black Black Yellow\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Pink Orange Black Black Black Black\nBlack Black Black Orange Black Red Black Black Black\nBlack Black Black Black Black Black Orange Black Black\nBlack Black Red Orange Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black\nGray Red Black Blue 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Pink Black Black\nBlack Black Orange Yellow Black Red Orange Black Black\nBlack Black Orange Green Red Blue Pink Black Black\nBlack Black Pink Green Black Red Pink Black Black\nBlack Black Orange Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black\n\nOutput:\nGreen\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Green Green Black Black\nBlack Black Green Green Black Black\nBlack Black Green Green Black Black\nBlack Black Green Green Black Black\n\nOutput:\nGreen\n\n\nExample 3\nInput:\nBlack Black Black Gray Gray Black\nBlack Black Black Gray Gray Black\nBlack Black Gray Gray Black Black\nBlack Black Gray Gray Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nRed\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 Purple Purple Gray Gray\nBlack Black Purple Purple Gray Gray\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Green Black Black Black Black Black Black Black\nBlack Red Black Black Green Black Black Black Black\nBlack Black Black Black Green Black Yellow Yellow Black\nBlue Blue Blue Blue Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Yellow Yellow Black Black\nBlack Black Black Red Black Black Black Black Black\n\nOutput:\nBlack Green Black Black Black Black Black Black Black\nBlack Red Black Black Green Black Black Black Black\nBlack Black Black Black Green Black Yellow Yellow Black\nBlue Blue Blue Blue Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Yellow Yellow Black Black\nBlack Black Black Orange 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 Red\nBlack Red Red Black Yellow Red Black Black\nBlack Black Black Black Yellow Red Red Red\nBlack Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Blue Blue Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red\nBlack Red Red Black Yellow Red Black Black\nBlack Black Black Black Yellow Orange Red Red\nBlack Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Blue Blue Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Yellow Yellow Red Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black\nBlack Black Yellow Yellow Red Green Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Green Green Black Black\nBlack Black Red Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Orange Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black\nBlack Black Yellow Yellow Red Green Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Green Green Black Black\nBlack Black Red Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Red Red Black Black Red Red\nBlack Black Black Black Black Red Red Black Green Black Black\nBlack Yellow Black Black Red Red Black Black Red Black Black\nBlack Yellow Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Red\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Green Green Black Black Black Black Red Black Black\nYellow Black Red 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 Black Black Black Black Red Red Black Black Red Red\nBlack Black Black Black Black Red Red Black Green Black Black\nBlack Yellow Black Black Red Red Black Black Red Black Black\nBlack Yellow Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Red\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Orange Green Black Black Black Black Red Black Black\nYellow Black Red Red Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Orange Black Black\nBlack Green Green Black Black Black Black Orange Black Black\nGreen Green Green Black Black Black Black Orange Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Orange Black Black\n\n\nExample 2\nInput:\nBlack Purple Purple Purple Black Black Green Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nGray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack 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 Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Black Purple Black Black\nBlack Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Black Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Purple 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 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 Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple 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:\nBlue Blue Blue Red Red\nGreen Blue Green Blue Blue\nGreen Green Red Green Blue\nBlue Blue Green Blue Red\nGreen Blue Red Blue Blue\n\nOutput:\nBlue Blue Blue Red Red\nGreen Brown Black Brown Blue\nGreen Black Yellow Black Blue\nBlue Brown Black Brown Red\nGreen Blue Red Blue Blue\n\n\nExample 2\nInput:\nRed Red Green Red Blue\nBlue Green Blue Red Blue\nBlue Green Blue Green Red\nGreen Red Green Green Red\nBlue Green Blue Red Red\n\nOutput:\nRed Red Green Red Blue\nBlue Green Blue Red Blue\nBrown Black Brown Green Red\nBlack Yellow Black Green Red\nBrown Black Brown Red Red\n\n\nExample 3\nInput:\nBlue Red Blue Red Red\nBlue Green Blue Green Blue\nGreen Red Green Green Blue\nBlue Green Blue Green Blue\nBlue Green Blue Red Green\n\nOutput:\nBlue Red Blue Red Red\nBrown Black Brown Green Blue\nBlack Yellow Black Green Blue\nBrown Black Brown Green Blue\nBlue Green Blue Red Green\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Green Red Green\nGreen Blue Green Blue Green\nGreen Green Red Green Blue\nRed Blue Green Blue Green\nRed Green Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Green Red Green\nGreen Brown Black Brown Green\nGreen Black Yellow Black Blue\nRed Brown Black Brown Green\nRed Green 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:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Blue Orange Black Black Black Blue Orange Black Black Black Blue Orange Orange Blue Black Black Black\nBlack Black Black Black Brown Black Black Black Black Brown Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Orange Black Black Black Black Orange Orange Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Blue Orange Black Black Black Blue Orange Black Black Black Blue Orange Black Black Black Blue Orange\nBlack Black Black Black Brown Black Black Black Black Brown Black Black Black Black Brown Black Black Black Black Brown\nBlack Black Black Black Orange Black Black Black Black Orange Black Black Black Black Orange Black Black Black Black Orange\n\n\nExample 2\nInput:\nPurple Pink Pink Purple Purple Pink Pink Purple\nBlack Black Purple Black Black Purple Black Black\nPurple Pink Pink Purple Purple Pink Pink Purple\n\nOutput:\nPurple Pink Pink Purple Purple Pink Pink Purple\nBlack Black Purple Black Black Black Purple Black\nPurple Pink Pink Purple Purple Pink Pink Purple\n\n\nExample 3\nInput:\nGreen Purple Black Black Black Black Purple Green\nPurple Green Purple Black Black Purple Green Purple\nPurple Green Green Green Green Green Green Purple\nOrange Black Black Black Black Black Black Orange\n\nOutput:\nGreen Purple Black Black Green Purple Black Black\nPurple Green Purple Black Purple Green Purple Black\nPurple Green Green Green Purple Green Green Green\nOrange Black Black Black Orange Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Green Green Black Black Black Black Green Green Black Black Green Green Black Black Black Black Green Green Black\nBlack Black Brown Black Green Green Black Brown Black Black Black Black Brown Black Green Green Black Brown Black Black\nGreen Brown Brown Brown Green Green Brown Brown Brown Green Green Brown Brown Brown Green Green Brown Brown Brown Green\nGreen Black Brown Black Black Black Black Brown Black Green Green Black Brown Black Black Black Black Brown Black Green\nBlack Black Green Green Black Black Green Green Black Black Black Black Green Green Black Black Green Green Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Green Green Black Black Black Green Green Black Black Black Green Green Black Black Black Green Green Black Black\nBlack Black Brown Black Green Black Black Brown Black Green Black Black Brown Black Green Black Black Brown Black Green\nGreen Brown Brown Brown Green Green Brown Brown Brown Green Green Brown Brown Brown Green Green Brown Brown Brown Green\nGreen Black Brown Black Black Green Black Brown Black Black Green Black Brown Black Black Green Black Brown Black Black\nBlack Black Green Green Black Black Black Green Green Black Black Black Green Green Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\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 Orange Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Black Black Black\nBlack Black Orange 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\nGray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black 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:\nGray Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Black Black Black\nGray Gray Gray Black Black Black Black\nGray Gray Black Black Black Black Black\nGray 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 Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Pink Pink Pink Black\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\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Brown Brown Black Black Black\nGray Gray Black Black Black Brown Brown Black Brown Brown Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Blue Blue Black Black Black\nBlack Black Black Black Purple Purple Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue 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 Gray Gray Gray Black Black Black Black Purple Black Black Black\nBlack Gray Gray Gray Yellow Brown Brown Black Brown Brown Purple Blue Blue\nGray Gray Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue\nGray Gray Black Brown Brown Yellow Brown Brown Purple Blue Blue Blue Black\nBlack Black Brown Brown Black Brown Brown Purple Yellow Blue Blue Black Black\nBlack Brown Brown Black Purple Purple Purple Yellow Blue Blue Black Black Black\nBlack Brown Black Brown Purple Purple Blue Blue Blue Blue Yellow Black Black\nBlack Black Brown Brown Blue Blue Blue Black Black Yellow Yellow Yellow Black\nBlack Brown Brown Blue Blue Blue Black Black Black Black Yellow Yellow Black\nBlack Brown Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue 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\nPurple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Pink Pink Black Pink Pink Black Pink Pink\nBlack Black Black Black Pink Pink Black Pink Pink Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Orange Orange Black\nGreen Green Black Black Black Black Black Black Black Orange Orange Black\nGreen Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green\n\nOutput:\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPurple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPurple Purple Purple Purple Pink Pink Purple Pink Pink Purple Pink Pink\nBlack Green Purple Purple Pink Pink Black Pink Pink Orange Pink Pink\nBlack Green Green Purple Purple Green Black Black Orange Orange Orange Black\nGreen Green Black Black Purple Purple Green Black Black Orange Orange Black\nGreen Green Black Black Black Purple Purple Green Black Black Black Black\nGreen Green Black Black Black Black Purple Purple Green Black Black Black\nGreen Green Green Black Black Black Black Purple Purple Green Black Black\nBlack Green Green Green Black Black Black Black Purple Purple Green Black\nBlack Black Green Green Black Black Black Black Black Purple Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green\n\n\nExample 3\nInput:\nBlack Pink Pink Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Yellow Yellow Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Green Green Black Pink Pink Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Gray Gray Black Blue Blue Black Black Black Black Black Black\nPink Pink Black Gray Gray Black Blue Blue Black Black Black Black Yellow Yellow\nPink Pink Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Blue Blue Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Blue Blue Black Black Black Black Black\n\nOutput:\nBlack Pink Pink Black Black Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Pink Pink Pink Black Yellow Yellow Yellow Yellow Black Black Black Pink Pink\nBlack Black Pink Pink Pink Pink Yellow Yellow Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Yellow Yellow Black Pink Pink Pink Black\nBlue Blue Blue Blue Green Green Gray Pink Pink Pink Pink Pink Black Black\nBlack Blue Blue Pink Green Green Gray Pink Pink Green Green Black Black Black\nBlack Black Pink Green Green Gray Gray Pink Green Green Green Yellow Black Black\nBlack Pink Green Gray Gray Gray Blue Blue Green Green Yellow Yellow Yellow Black\nPink Pink Pink Gray Gray Pink Blue Blue Green Black Black Yellow Yellow Yellow\nPink Pink Yellow Yellow Black Green Green Green Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Black Green Green Green Blue Blue Black Black Black Black Black\nYellow Yellow Black Black Green Green Black Blue Blue 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 Brown Brown Black Black Black Black\nBlack Black Black Black Red Red Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Brown Brown Black Black Red Red\nBlack Black Black Black Gray Gray Black Black Brown Brown Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Blue Black Black Black Gray Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Blue Brown Brown Gray Gray Black Black\nBlack Black Black Black Red Red Black Black Brown Brown Blue Black Black Black\nBlack Black Black Black Red Red Red Red Red Blue Blue Blue Brown Brown\nBlack Black Black Black Black Black Red Red Gray Red Blue Blue Brown Black\nBlack Black Black Black Black Gray Gray Red Red Brown Red Red Red Black\nBlack Black Black Black Gray Gray Gray Black Brown Brown Brown Red Red Red\nBlack Black Black Black Gray Gray Black Black Brown Brown Red Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Red Red Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Green Green Green Green Green Black\nBlack Black Blue Blue Blue Blue Green Green Green Green Green Black\nBlack Black Blue Blue Blue Blue Green Green Green Green Green Black\nBlack Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue 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\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 Red Red Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 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 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 Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Brown Brown Purple Purple Black Black Black Black Green Green Black Black Black Black\nGray Gray Black Black Brown Brown Purple Purple Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Orange Orange Black Black Yellow Yellow Yellow Yellow\nBlack Black Orange Orange Orange Orange Black Black Black Black Orange Orange Black Black Yellow Yellow Yellow Yellow\nBrown Brown Pink Pink Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBrown Brown Pink Pink Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nPurple Purple\nPurple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlue Blue Black Black Pink Pink Black Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow Black Black\nBlue Blue Black Black Pink Pink Black Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Gray Gray Brown Brown Brown Brown\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Gray Gray Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Green Green\nBlack Black Gray Gray Orange Orange Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Gray Gray Orange Orange Black Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nOrange Orange\nOrange Orange\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\nPurple Purple Black Black Green Green Black Black Black Black Black Black Black Black Blue Blue Black Black\nPurple Purple Black Black Green Green Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Purple Purple\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Pink Pink Black Black Black Black\nGray Gray Gray Gray Black Black Brown Brown Brown Brown Black Black Black Black Red Red Orange Orange\nGray Gray Gray Gray Black Black Brown Brown Brown Brown Black Black Black Black Red Red Orange Orange\nGray Gray Gray Gray Black Black Brown Brown Brown Brown Black Black Black Black Black Black Yellow Yellow\nGray Gray Gray Gray Black Black Brown Brown Brown Brown Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Black Black Black Black Black Black\nOrange Orange Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Pink Pink Black Black\nOrange Orange Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Pink Pink Black Black\n\nOutput:\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBrown Brown\nBrown Brown\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Gray Gray Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nGray Gray 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 Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray 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\nBrown Brown Black Black Black Black Black Black Black Black Blue Blue Brown Brown Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Blue Blue Brown Brown Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nGray Gray Gray Gray Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nGray Gray Gray Gray Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Green Green Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Gray Gray Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nPink Pink\nPink 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 Green Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Red Black Black Black Black\nBlack 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\n\nOutput:\nBlack Black Black Yellow Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Orange Black Black Black Black\nBlack 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 Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black 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 Gray Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\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 Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Gray Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Gray Gray Gray Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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\nBlack Black Orange Orange Orange Orange Orange Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Brown Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Brown Brown Brown Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple 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\nBlack Black Black Black Black Purple Purple Purple Purple Purple 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\nBlack Black Black Black Black Black Black 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Red Red Red Red Black Black Black Purple Black\nBlack Black Red Red Red Red Black Black Purple Purple Purple\nBlack Black Red Red Red Red Black Black Black Purple Black\nBlack Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black\nBlack Red Red Red Red Black Black Black Black\nBlack Red Red Red Red Black Black Black Black\nBlack Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black\nBlack Purple Black Purple Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black\nBlack Black Purple Black Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black\nBlack Black 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\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 Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple 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\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black\nBlack Black Purple Purple 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple 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 Purple Purple Black Black Purple Purple Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Black Black\nPurple Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nPurple Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nPurple Purple Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Purple Purple Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple\nPurple Purple Purple Purple Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\n\n\nExample 2\nInput:\nPurple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple 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 Black Black Purple Purple Purple Purple\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple Purple Purple\nBlack Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Purple Purple\nBlack Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nPurple Purple Black Black Purple Purple Black Black Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nPurple Purple Black Black Purple Purple Black Black Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack 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 Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nPurple Purple Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Purple Purple Black Black Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Purple Purple Black Black Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Purple Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nPurple Purple Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple\nPurple Purple Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple\nBlack Black Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple\nBlack Black Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple\nBlack 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 Purple Purple Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Green Green Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Blue Blue Blue Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Blue Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Green Green Green Green Green Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Orange Orange Orange Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Orange Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black\nBlack Blue Blue Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Blue Black Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Yellow Yellow Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Orange Black\nBlack Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Black\nBlack Black Orange Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Black Black Black Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Blue Blue Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Red 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 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 Black Black Black Black\nBlack 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 Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black\nBlack 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 Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Yellow Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green 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 Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Orange Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Blue Black Black Black\nBlue Blue Blue Blue Black Blue Blue Blue Black Black\nBlue Blue Blue Black Black Black Blue Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Black Green Black Black Black\nRed Red Red Red Black Green Green Green Black Black\nRed Red Red Black Black Black Green Black Black Black\nRed Red Red Red Black Black Black Black Black Black\nRed Red Black Red 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 Blue Black Black Black Black\nBlack Black Black Blue Black Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Black Red Red Black Black Black\nBlack Red Red Red Red Red Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlue Blue Blue Blue Black Blue Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black\nBlack Blue Blue Black Black Black Blue Black Black Black\nBlack Blue Blue 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 Red Black Red Black\nBlack Black Black Black Black Red Red Red Red Black\nBlue Blue Blue Blue Black Red Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Black Green Black Black Black\nBlack Black Black Black Red Black Green Black Black Black\nBlack Blue Blue Black Black Black Green Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Blue 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Green 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 Green Black Black\nBlack Black Black Black Black Black Black Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Purple Black Black Blue Blue Blue Blue Blue Blue Black Purple Purple Black Black Black\nBlack Black Purple Purple Black Blue Black Black Black Black Black Black Blue Black Purple Purple Black Black\nBlack Black Purple Black Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Black Blue Black Purple Black Black\nBlack Black Purple Black Blue Black Yellow Black Black Black Black Yellow Black Blue Black Purple Black Black\nBlack Purple Purple Blue Blue Yellow Yellow Brown Brown Brown Black Yellow Black Blue Black Purple Black Black\nBlack Purple Purple Blue Blue Black Yellow Black Brown Brown Black Yellow Black Blue Black Purple Black Black\nBlack Black Purple Black Blue Black Yellow Black Black Black Black Yellow Black Blue Black Purple Black Black\nBlack Black Purple Black Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Black Blue Black Purple Black Black\nBlack Black Purple Purple Black Blue Black Black Black Black Black Black Blue Black Purple Purple Black Black\nBlack Black Black Purple Black Black Blue Blue Blue Blue Blue Blue Black Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown 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\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 Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Purple Purple Purple Purple Purple Purple Black Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Black Purple Black Black Black Black Black Black Purple Black Pink Pink Black Black Black\nBlack Black Black Pink Black Purple Black Orange Orange Orange Orange Orange Orange Black Purple Black Pink Black Black Black\nBlack Black Black Pink Black Purple Black Orange Black Black Black Black Orange Black Purple Black Pink Black Black Black\nBlack Black Pink Pink Purple Purple Orange Orange Green Green Green Black Orange Black Purple Black Pink Black Black Black\nBlack Black Pink Pink Purple Purple Orange Orange Black Green Green Black Orange Black Purple Black Pink Black Black Black\nBlack Black Black Pink Black Purple Black Orange Black Black Black Black Orange Black Purple Black Pink Black Black Black\nBlack Black Black Pink Black Purple Black Orange Orange Orange Orange Orange Orange Black Purple Black Pink Black Black Black\nBlack Black Black Pink Pink Black Purple Black Black Black Black Black Black Purple Black Pink Pink Black Black Black\nBlack Black Black Black Pink Black Black Purple Purple Purple Purple Purple Purple Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Green Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Gray Gray Gray Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Gray Gray Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Black Brown Brown Brown Brown Brown Brown Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Brown Black Black Black Black Brown Black Gray Black Black Black Black\nBlack Black Black Black Gray Gray Brown Brown Red Red Red Black Brown Black Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Brown Black Red Red Black Brown Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Brown Black Black Black Black Brown Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Brown Brown Brown Brown Brown Brown Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nBrown Brown Brown Pink Pink Pink Yellow Yellow Yellow\nBrown Brown Brown Pink Pink Pink Yellow Yellow Yellow\nBrown Brown Brown Pink Pink Pink Yellow Yellow Yellow\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Purple\nGray Gray Gray Pink Pink Pink Orange Orange Orange\nGray Gray Gray Pink Pink Pink Orange Orange Orange\nGray Gray Gray Pink Pink Pink Orange Orange Orange\n\nOutput:\nBrown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow\nBrown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow\nBrown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple\nGray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange\nGray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange\nGray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange\nBrown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow\nBrown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow\nBrown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple\nGray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange\nGray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange\nGray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange\nBrown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow\nBrown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow\nBrown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple\nGray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange\nGray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange\nGray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Orange Orange Orange\n\n\nExample 2\nInput:\nGreen Green Green Yellow Yellow Yellow Green Green Green\nGreen Green Green Yellow Yellow Yellow Green Green Green\nGreen Green Green Yellow Yellow Yellow Green Green Green\nPink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Red Red Red Orange Orange Orange\nBlue Blue Blue Red Red Red Orange Orange Orange\nBlue Blue Blue Red Red Red Orange Orange Orange\n\nOutput:\nGreen Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green\nGreen Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green\nGreen Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green\nPink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Red Red Red Orange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange\nBlue Blue Blue Red Red Red Orange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange\nBlue Blue Blue Red Red Red Orange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange\nGreen Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green\nGreen Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green\nGreen Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green\nPink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Red Red Red Orange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange\nBlue Blue Blue Red Red Red Orange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange\nBlue Blue Blue Red Red Red Orange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange\nGreen Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green\nGreen Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green\nGreen Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green\nPink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Red Red Red Orange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange\nBlue Blue Blue Red Red Red Orange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange\nBlue Blue Blue Red Red Red Orange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange Blue Blue Blue Red Red Red Orange Orange Orange\n\n\nExample 3\nInput:\nRed Red Red Brown Brown Brown Green Green Green\nRed Red Red Brown Brown Brown Green Green Green\nRed Red Red Brown Brown Brown Green Green Green\nGreen Green Green Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Yellow Yellow Yellow Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray\n\nOutput:\nRed Red Red Brown Brown Brown Green Green Green Red Red Red Brown Brown Brown Green Green Green Red Red Red Brown Brown Brown Green Green Green\nRed Red Red Brown Brown Brown Green Green Green Red Red Red Brown Brown Brown Green Green Green Red Red Red Brown Brown Brown Green Green Green\nRed Red Red Brown Brown Brown Green Green Green Red Red Red Brown Brown Brown Green Green Green Red Red Red Brown Brown Brown Green Green Green\nGreen Green Green Yellow Yellow Yellow Orange Orange Orange Green Green Green Yellow Yellow Yellow Orange Orange Orange Green Green Green Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Yellow Yellow Yellow Orange Orange Orange Green Green Green Yellow Yellow Yellow Orange Orange Orange Green Green Green Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Yellow Yellow Yellow Orange Orange Orange Green Green Green Yellow Yellow Yellow Orange Orange Orange Green Green Green Yellow Yellow Yellow Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nRed Red Red Brown Brown Brown Green Green Green Red Red Red Brown Brown Brown Green Green Green Red Red Red Brown Brown Brown Green Green Green\nRed Red Red Brown Brown Brown Green Green Green Red Red Red Brown Brown Brown Green Green Green Red Red Red Brown Brown Brown Green Green Green\nRed Red Red Brown Brown Brown Green Green Green Red Red Red Brown Brown Brown Green Green Green Red Red Red Brown Brown Brown Green Green Green\nGreen Green Green Yellow Yellow Yellow Orange Orange Orange Green Green Green Yellow Yellow Yellow Orange Orange Orange Green Green Green Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Yellow Yellow Yellow Orange Orange Orange Green Green Green Yellow Yellow Yellow Orange Orange Orange Green Green Green Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Yellow Yellow Yellow Orange Orange Orange Green Green Green Yellow Yellow Yellow Orange Orange Orange Green Green Green Yellow Yellow Yellow Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nRed Red Red Brown Brown Brown Green Green Green Red Red Red Brown Brown Brown Green Green Green Red Red Red Brown Brown Brown Green Green Green\nRed Red Red Brown Brown Brown Green Green Green Red Red Red Brown Brown Brown Green Green Green Red Red Red Brown Brown Brown Green Green Green\nRed Red Red Brown Brown Brown Green Green Green Red Red Red Brown Brown Brown Green Green Green Red Red Red Brown Brown Brown Green Green Green\nGreen Green Green Yellow Yellow Yellow Orange Orange Orange Green Green Green Yellow Yellow Yellow Orange Orange Orange Green Green Green Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Yellow Yellow Yellow Orange Orange Orange Green Green Green Yellow Yellow Yellow Orange Orange Orange Green Green Green Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Yellow Yellow Yellow Orange Orange Orange Green Green Green Yellow Yellow Yellow Orange Orange Orange Green Green Green Yellow Yellow Yellow Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Gray Gray Gray\nGray Gray Gray Green Green Green Gray Gray Gray\nGray Gray Gray Green Green Green Gray Gray Gray\nGray Gray Gray Green Green Green Gray Gray Gray\nBrown Brown Brown Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray\nGray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray\nGray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray\nGray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray\nBrown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray\nGray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray\nGray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray\nGray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray\nBrown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray\nGray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray\nGray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray\nGray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray\nBrown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Brown Brown Brown 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:\nPurple Purple Yellow Yellow Yellow Yellow\nPurple Green Yellow Yellow Yellow Yellow\nPurple Purple Red Red Yellow Yellow\nPurple Purple Red Red Yellow Red\nYellow Yellow Green Green Yellow Yellow\nYellow Yellow Green Green Yellow Green\n\nOutput:\nGray Gray Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Yellow Yellow\nPurple Gray Red Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nYellow Gray Green Gray Gray Gray\nYellow Gray Green Gray Gray Gray\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Green Green\nYellow Yellow Yellow Red Green Green\nYellow Yellow Purple Purple Red Red\nYellow Yellow Purple Yellow Red Purple\nGreen Green Red Red Yellow Yellow\nGreen Green Red Red Yellow Yellow\n\nOutput:\nYellow Yellow Gray Gray Green Green\nYellow Gray Gray Gray Gray Gray\nYellow Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGreen Gray Red Gray Yellow Yellow\nGreen Gray Red Gray Yellow Yellow\n\n\nExample 3\nInput:\nYellow Yellow Purple Purple Yellow Yellow\nYellow Red Purple Purple Yellow Purple\nGreen Green Yellow Yellow Purple Purple\nGreen Green Yellow Yellow Purple Purple\nYellow Yellow Green Green Green Green\nYellow Yellow Green Green Green Green\n\nOutput:\nGray Gray Purple Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGreen Gray Yellow Gray Purple Purple\nGray Gray Gray Gray Gray Gray\nYellow Gray Green Green Green Green\nYellow Gray Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Purple Purple\nRed Yellow Red Red Purple Purple\nRed Red Yellow Yellow Red Red\nRed Red Yellow Purple Red Green\nYellow Yellow Red Red Purple Purple\nYellow Yellow Red Purple 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```\nGray Gray Red Gray Purple Purple\nGray Gray Gray Gray Gray Gray\nRed Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nYellow Gray Gray Gray Gray Gray\nYellow 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 Brown Brown Orange Red\nBlack Black Black Black Black Black Black Black Black Brown Pink Pink Gray\nBlack Black Blue Green Green Black Black Black Black Orange Pink Gray Gray\nBlack Black Black Yellow Yellow Black Black Black Black Red Gray Gray Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Blue Green Green Black Brown Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Brown Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Green Yellow Black Black Black Black Black Black Black Black Black\nBlack 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\n\nOutput:\nRed 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\nRed 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\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Blue Blue Blue Blue Blue Red Red Red Red Red Red\nRed 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\nRed 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\nRed 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\nRed Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Red Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Pink Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Orange Black Black Black\nBlack Black Black Black Black Black Green Red Orange Black Black Black\nBlack Black Black Yellow Yellow Black Black Gray Orange Gray Black Black\nBlack Blue Blue Orange Gray Black Black Purple Blue Purple Black Black\nBlack Black Black Yellow Yellow Black Black Green Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Blue Blue Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Brown Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Pink Purple Purple Pink Black Black Black Black\nBlack Black Black Black Black Black Yellow Blue Blue Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Blue Blue Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen 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 Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen 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 Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen 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 Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black 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:\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\n\nOutput:\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\n\nOutput:\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Black Black Orange Orange Orange\nOrange Orange Black Orange Black Yellow Black\nOrange Black Orange Orange Yellow Yellow Yellow\nOrange Orange Orange Orange Black Yellow Black\nBlack Orange Orange Orange Black Orange Black\nOrange Black Black Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Black Orange\n\nOutput:\nOrange Orange Black Black Orange Orange Orange\nOrange Orange Black Orange Red Red Red\nOrange Black Orange Orange Red Red Red\nOrange Orange Orange Orange Red Red Red\nBlack Orange Orange Orange Black Orange Black\nOrange Black Black Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Black Orange\n\n\nExample 2\nInput:\nPink Pink Pink Pink Pink Black Black Pink\nPink Black Pink Pink Pink Black Yellow Black\nPink Black Pink Black Black Yellow Yellow Yellow\nPink Pink Pink Pink Pink Black Yellow Black\nPink Pink Black Black Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Black Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Black Black Pink\nPink Black Pink Pink Pink Red Red Red\nPink Black Pink Black Black Red Red Red\nPink Pink Pink Pink Pink Red Red Red\nPink Pink Black Black Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Black Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Yellow Black Black Yellow Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Black Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Black Yellow Yellow\nYellow Black Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black\nGray Black Gray Gray Gray Black\nBlack Yellow Black Black Gray Gray\nYellow Yellow Yellow Gray Gray Black\nBlack Yellow Black Black Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black\nGray Black Gray Gray Gray Black\nRed Red Red Black Gray Gray\nRed Red Red Gray Gray Black\nRed Red Red Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Red Black Black Black Black Black Black Black\nBlack Black Red Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Red 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 Red Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Red Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Red Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Red Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black 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 Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Red Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Red Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow 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\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 Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Red Black\nRed Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Red Red Red Black Black Black Black Black Black Black Black Red Black\nBlack Black Red Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Red Black Black Black Black Black Red Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black\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\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black 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 Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow 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 Yellow Green Green Blue\nGreen Red Red Blue Yellow\nGreen Green Blue Green Blue\nRed Green Blue Green Green\n\nOutput:\nBlack Black Black Black Green\nBlack Black Black Black Red\nBlack Black Black Black Green\nBlack Black Black Black Yellow\nBlack Black Black Yellow Black\nBlack Black Black Green Black\nBlack Black Black Yellow Black\nBlack Black Black Yellow Black\nBlack Black Yellow Black Black\nBlack Black Blue Black Black\nBlack Black Green Black Black\nBlack Black Green Black Black\nBlack Red Black Black Black\nBlack Blue Black Black Black\nBlack Yellow Black Black Black\nBlack Yellow Black Black Black\nGreen Black Black Black Black\nYellow Black Black Black Black\nYellow Black Black Black Black\nBlue Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Green Green\nBlue Blue Blue Green\nBlue Red Green Yellow\nYellow Green Blue Red\nRed Blue Red Yellow\n\nOutput:\nBlack Black Black Yellow\nBlack Black Black Yellow\nBlack Black Black Red\nBlack Black Black Blue\nBlack Black Black Red\nBlack Black Yellow Black\nBlack Black Green Black\nBlack Black Yellow Black\nBlack Black Green Black\nBlack Black Blue Black\nBlack Blue Black Black\nBlack Green Black Black\nBlack Blue Black Black\nBlack Yellow Black Black\nBlack Green Black Black\nBlue Black Black Black\nGreen Black Black Black\nGreen Black Black Black\nRed Black Black Black\nBlue Black Black Black\n\n\nExample 3\nInput:\nBlue Blue Red Green Red\nBlue Yellow Green Blue Red\nRed Green Red Blue Yellow\nBlue Red Green Blue Yellow\nYellow Blue Yellow Blue Yellow\n\nOutput:\nBlack Black Black Black Blue\nBlack Black Black Black Blue\nBlack Black Black Black Red\nBlack Black Black Black Red\nBlack Black Black Black Red\nBlack Black Black Yellow Black\nBlack Black Black Green Black\nBlack Black Black Green Black\nBlack Black Black Green Black\nBlack Black Black Green Black\nBlack Black Blue Black Black\nBlack Black Yellow Black Black\nBlack Black Blue Black Black\nBlack Black Yellow Black Black\nBlack Black Red Black Black\nBlack Green Black Black Black\nBlack Red Black Black Black\nBlack Yellow Black Black Black\nBlack Blue Black Black Black\nBlack Green Black Black Black\nGreen Black Black Black Black\nGreen Black Black Black Black\nBlue Black Black Black Black\nGreen Black Black Black Black\nRed Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue\nYellow Red Blue\nRed 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 Black Green\nBlack Black Green\nBlack Black Blue\nBlack Green Black\nBlack Blue Black\nBlack Yellow Black\nGreen Black Black\nRed Black Black\nBlue 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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Green Green Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Green Green Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Green Green Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlue Blue Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Green Green\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Green Green\nYellow Yellow Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nYellow Yellow Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Red Red Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Red Red Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow 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\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 Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Blue Blue Green Green Blue Blue\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Blue Blue Green Green Blue Blue\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange 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 Green Green Purple Purple Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Purple Purple Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Brown Blue Blue Black Black\nBlack Black Black Black Blue Blue Brown Brown Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Brown Brown Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Brown Brown Blue Blue Blue Blue Black Black\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 Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Green Yellow Yellow Black Black\nBlack Black Green Green Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Green Green Black Black\nBlack Black Yellow Yellow Green Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Blue Blue Purple Purple Purple Purple Black Black\nBlack Black Red Red Blue Blue Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Blue Blue Red Red Black Black\nBlack Black Purple Purple Purple Purple Blue Blue 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with 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 Yellow Black\nBlack Yellow Yellow Yellow\nBlack Black Yellow Yellow\nBlack Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Black Yellow Yellow\nBlack Yellow Yellow Yellow\nBlack Yellow Yellow Black\n\n\nExample 2\nInput:\nBlack Black Pink Pink Black\nBlack Black Pink Pink Pink\nBlack Black Black Pink Pink\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Pink Pink\nBlack Black Pink Pink Pink\nBlack Black Pink Pink Black\n\n\nExample 3\nInput:\nBlack Black Orange Orange Black\nBlack Black Orange Orange Orange\nBlack Black Black Orange Orange\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Orange Orange\nBlack Black Orange Orange Orange\nBlack Black Orange Orange Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Black\nGray Gray Gray\nBlack Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Gray\nGray Gray Gray\nGray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Orange Orange 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 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black 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\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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Green Black Green Black\nBlack Black Green Black Green Black\nBlack Black Green Green Green Black\nBlack Black Green Green Green Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black\nBlack Yellow Yellow Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Green Black Black\nBlack Green Black Black\nBlack Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Green Green Green Green Green Black\nBlack Black Black Green Green Black Black\nBlack Black Black Green 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\nBlack Yellow Yellow Black\nBlack Black Yellow Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black\nBlack Green Green Black\nBlack Green Black Black\nBlack Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nRed Red Red Red Red Red Black\nRed Red Red Red Red Red Black\nRed Red Red Red Red Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Red Red Red Red Red\nBlack Black Red Red Red Red Red\nBlack Black Red Red Red Red Red\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red\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 Red Red Red Red\nBlack Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red\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 Red Red Red Red\nBlack Black Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Red Black Black Black Black\nBlack Red Black Black Black Black\nBlack Red Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Red Black\nBlack Black Black Black Red Black\nBlack Black Black Black Red Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack 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 Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Purple Purple Purple Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Pink Pink Pink Pink Pink Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black Black\nRed Black Black Red Black Black Black Black Black Black Red Red Red Red Black Black Black\nRed Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Orange Orange Orange Black Blue Blue Blue Blue Blue Black\nBlack Blue Blue Black Black Orange Orange Orange Black Blue Blue Blue Blue Blue Black\nBlack Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack 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 Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Blue Blue Blue Black Black Black Black Black Red Red Red Red\nBlack Black Black Blue Blue Blue Black Black Black Black Black Red Red Red Red\nBlack Black Black Blue Blue Blue Black Black Black Black Black Red Red Red Red\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Black Red Black Black Black Red Black\nBlack Red Red Black Black Red Red Red Black Red Black Black Black Red Black\nBlack Red Red Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Red\nBlack Black Black Red Red Red Black Black Black Black Black Red Black Black Red\nBlack Black Black Red Black Red Black Black Black Black Black Red Black Black Red\nBlack Black Black Red Black Red Black Black Black Black Black Red Red Red Red\nBlack 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Green Green Green Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Red Black Black\nBlack Black Red Red Red Red Red Black Black Red Black Black Black Red Black Black\nBlack Black Red Red Red Red Red Black Black Red Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Gray Gray Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Gray Gray Black Brown Brown Brown Black Black Black\nBlack Gray Gray Gray Black Gray Gray Black Brown Brown Brown Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Black Red Black Red Black Black Black\nBlack Black Black Black Black Red Red Black Red Black Red Black Black Black\nBlack Red Red Red Black Red Red Black Red Red Red Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black 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 Red Black Black Black\nBlack Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Green Green Black Black\nBlack Black Green Green Green Black Black\nBlack Black Green Green Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\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 Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Black Black 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 Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black 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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Black Purple Black Black Black Black Black Brown Pink Black Black Black\nBrown Yellow Blue Black Black Black Black Black Purple Black Purple Black Black\nGreen Black Black Gray Red Black Black Black Black Pink Black Black Black\nBlack Black Black Orange Black Black Yellow Black Blue Black Purple Black Yellow\nBlack Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Orange Orange Orange\nBlack Gray Black Black Pink Black Black Black Red Black Black Purple Black\nBlack Yellow Green Black Black Black Pink Purple Black Black Blue Black Yellow\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Yellow Purple Orange\nBlack Black Black Black Yellow Red Black Pink Gray Black Purple Black Orange\nBlack Black Black Black Yellow Black Black Red Red Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Purple Black Black Black Purple Black Red\nBlack Black Green Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Purple Black Black\nBlack Red Purple Black Blue Purple Black Yellow Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Orange Black Black Yellow Green Black Black Black Gray\nBlack Black Black Black Pink Black Yellow Black Black Black Brown Black\nPurple Black Black Black Black Black Black Brown Black Black Red Black\nRed Black Black Black Black Green Black Black Black Black Black Purple\nBlack Black Black Black Black Black Orange Pink Black Black Yellow Black\nBlack Black Yellow Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Pink Purple Gray Yellow Yellow\nBlack Black Black Pink Black Black Black Black Black Purple Black Black\nBlack Black Black Black Pink Black Black Green Black Black Black Black\nBlack Blue Blue Red Black Black Black Orange Green Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Orange Purple Purple Black Black\nGray Brown Black Black Orange Black Pink Purple Black Black Black Black\nBlack Black Pink Black Blue Black Orange Black Black Black Gray Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Purple Brown Pink Orange Black Black Black Black Blue Black\nBlack Black Black Black Black Black Yellow Black Black Black Brown Black\nBlack Black Yellow Black Green Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Yellow Black Yellow\nBlack Black Purple Black Black Black Black Black Brown Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Blue Black Black Black Black Black Black\nBlack Black Black Pink Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nPurple Blue Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Brown Black Black Black\nBlack Black Purple Black Black Black Orange Black Black Black Black Black\nBlack Pink Black Purple Black Black Black Orange Pink Blue Black Green\nBlue Black Black Pink Black Black Gray Black Black Black Gray Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBrown Black Green Black Black Black Black Yellow Black Red Black Purple\n\nOutput:\nBlack Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Black\nBlack Black Black Black Purple Black Pink Black Black Black Blue Black Black Black\nBlack Black Black Black Brown Black Black Black Brown Orange Black Black Black Brown\nBlack Pink Gray Black Black Black Blue Black Orange Black Black Black Black Pink\nBlack Black Black Black Black Gray Black Black Black Green Yellow Black Black Black\nBlack Black Green Black Black Black Yellow Black Black Brown Black Black Black Black\nBlack Orange Black Black Orange Black Black Brown Black Black Black Black Black Black\nYellow Black Black Black Green Black Black Black Black Pink Black Black Black Pink\nBlue Green Red Black Black Purple Black Black Black Black Black Black Black Gray\nBlack Black Black Brown Black Pink Purple Black Black Gray Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black\nRed Black Black Black Black Black Black Gray Black Black Black Black Pink Black\nYellow Black Yellow Black Purple Black Brown Black Black Black Black Black Black Black\nBlack Black Black Yellow Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Orange Black Yellow Black Black Black Orange Yellow Blue Black Black Black Black Black Black Gray\nGray Black Black Black Black Purple Black Black Pink Orange Black Black Black Black Black Orange Gray\nGray Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Pink Black Black Black Black Black Black Pink Green Black Black Gray\nGray Green Black Green Black Black Black Purple Black Black Yellow Black Black Black Black Orange Gray\nGray Purple Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Gray\nGray Black Orange Black Black Black Black Red Purple Black Black Black Black Black Black Black Gray\nGray Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Gray\nGray Green Black Green Black Purple Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Gray\nGray Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Black Black Black Black Yellow Black Black Black Brown Gray\nGray Black Brown Black Black Black Black Black Black Blue Black Black Black Black Gray\nGray Black Black Black Orange Black Blue Black Black Orange Black Black Brown Black Gray\nGray Black Black Yellow Blue Orange Black Black Black Black Black Black Black Black Gray\nGray Black Purple Black Black Black Black Purple Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Yellow Black Green Black Black Black Orange Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Red Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Orange Black Black Gray\nGray Black Green Black Black Black Brown Black Black Red Black Red Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Purple Pink Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Green Black Black Black Black Black Black Black Purple Black Black Gray\nGray Black Black Black Black Pink Black Black Black Brown Black Purple Black Black Blue Gray\nGray Black Black Black Black Black Black Red Black Black Orange Black Black Black Black Gray\nGray Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Gray\nGray Yellow Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Gray\nGray Black Black Black Orange Yellow Orange Black Black Black Black Black Blue Black Black Gray\nGray Black Green Black Black Black Black Black Black Black Red Black Black Black Purple Gray\nGray Red Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Purple Blue Black Black Black Black Black Black Orange Black Orange Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\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\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Pink Gray\nGray Black Black Black Blue Black Brown Black Black Brown Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Brown Black Gray\nGray Blue Black Black Black Black Black Black Yellow Black Black Brown Black Gray\nGray Black Black Black Brown Black Blue Black Black Blue Black Black Black Gray\nGray Black Black Black Orange Black Black Orange Black Brown Black Black Black Gray\nGray Black Black Red Black Blue Black Black Orange Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Red Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Orange Gray\nGray Black Black Yellow Black Black Black Brown Purple Black Blue Black Black Gray\nGray Black Black Black Black Black Black Pink Black Black Black Black Black Gray\nGray Black Black Black Black Black Purple Black Black Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown 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\nBrown 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\nBrown 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\nBrown 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\nBrown 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\nBrown 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\nBrown 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Green Green Green Green Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Green Green Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black\nBlue Blue Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlue Blue Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlue Blue Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Green Green Blue Blue\nBlack Black Black Black Black Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Green Green Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Green Green\nGreen Green Green Green Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Green Green Gray Gray Gray Gray Black Black Blue Blue Blue Blue Blue Blue Gray Gray Blue Blue\nGray Gray Green Green Gray Gray Gray Gray Black Black Blue Blue Blue Blue Blue Blue Gray Gray Blue Blue\nBlack Black Green Green Black Black Black Black Blue Blue Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Blue Blue Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Green Green Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Gray Gray Green Green Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Green Green Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Green Green Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nGreen Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nGreen Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nGreen Green Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green 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 Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green\nBlack Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Green Green\nGreen Green Green Green Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Green Green Yellow Yellow Yellow Yellow Black Black Green Green Green Green Green Green Yellow Yellow Green Green\nYellow Yellow Green Green Yellow Yellow Yellow Yellow Black Black Green Green Green Green Green Green Yellow Yellow Green Green\nBlack Black Green Green Black Black Black Black Green Green Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Green Green Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Red Red Black Black Gray Gray Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Red Black Black Gray Gray Black Black Black Black Black Black Red Red\nBlack Black Purple Purple Black Black Black Black Gray Gray Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Gray Gray Black Black Black Black Purple Purple Black Black Black Black\nRed Red Black Black Red Red Black Black Black Black Black Black Purple Purple Black Black Purple Purple Black Black\nRed Red Black Black Red Red Black Black Black Black Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Black Black Black Black Purple Purple Brown Brown Purple Purple Black Black Black Black Red Red\nBlack Black Purple Purple Black Black Black Black Purple Purple Brown Brown Purple Purple Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Purple Purple Purple Purple Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Purple Purple Purple Purple Black Black Purple Purple\nBlack Black Red Red Black Black Black Black Black Black Black Black Purple Purple Black Black Red Red Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Purple Purple Black Black Red Red Black Black\nRed Red Black Black Black Black Red Red Black Black Red Red Purple Purple Black Black Black Black Black Black\nRed Red Black Black Black Black Red Red Black Black Red Red Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Red Red Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Red Red Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Gray Gray Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Gray Gray Purple Purple Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Green Black Black Red Red Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Green Green Black Black Red Red Black Black Black Black Black Black Green Green\nBlack Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Yellow Yellow Black Black Black Black\nGreen Green Black Black Green Green Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nGreen Green Black Black Green Green Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Red Red Yellow Yellow Black Black Black Black Green Green\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Red Red Yellow Yellow Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Green Green Black Black Black Black Black Black Black Black Yellow Yellow Black Black Green Green Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Yellow Yellow Black Black Green Green Black Black\nGreen Green Black Black Black Black Green Green Black Black Green Green Yellow Yellow Black Black Black Black Black Black\nGreen Green Black Black Black Black Green Green Black Black Green Green Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Green Green Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Green Green Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Red Red Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Red Red Yellow Yellow Black Black Black Black\n\n\nExample 3\nInput:\nRed Red Green Green Red Red Red Red Black Black Black Black Purple Purple Brown Brown Black Black Brown Brown\nRed Red Green Green Red Red Red Red Black Black Black Black Purple Purple Brown Brown Black Black Brown Brown\nPurple Purple Black Black Black Black Black Black Brown Brown Black Black Black Black Purple Purple Black Black Black Black\nPurple Purple Black Black Black Black Black Black Brown Brown Black Black Black Black Purple Purple Black Black Black Black\nRed Red Green Green Purple Purple Green Green Red Red Green Green Brown Brown Black Black Black Black Brown Brown\nRed Red Green Green Purple Purple Green Green Red Red Green Green Brown Brown Black Black Black Black Brown Brown\nPurple Purple Black Black Red Red Green Green Black Black Green Green Red Red Brown Brown Brown Brown Purple Purple\nPurple Purple Black Black Red Red Green Green Black Black Green Green Red Red Brown Brown Brown Brown Purple Purple\nRed Red Black Black Red Red Black Black Black Black Black Black Brown Brown Purple Purple Purple Purple Black Black\nRed Red Black Black Red Red Black Black Black Black Black Black Brown Brown Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Brown Brown Brown Brown Red Red Black Black Brown Brown Brown Brown Red Red\nBlack Black Black Black Purple Purple Brown Brown Brown Brown Red Red Black Black Brown Brown Brown Brown Red Red\nBrown Brown Black Black Brown Brown Purple Purple Black Black Black Black Purple Purple Black Black Black Black Brown Brown\nBrown Brown Black Black Brown Brown Purple Purple Black Black Black Black Purple Purple Black Black Black Black Brown Brown\nBlack Black Black Black Purple Purple Black Black Black Black Red Red Red Red Green Green Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Black Black Black Black Red Red Red Red Green Green Purple Purple Purple Purple\nBrown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green\nBrown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green\nBlack Black Black Black Black Black Red Red Red Red Brown Brown Black Black Brown Brown Purple Purple Black Black\nBlack Black Black Black Black Black Red Red Red Red Brown Brown Black Black Brown Brown Purple Purple Black Black\n\nOutput:\nYellow Yellow Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black Green Green Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black Green Green Yellow Yellow Black Black Yellow Yellow\nGreen Green Black Black Black Black Black Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black\nGreen Green Black Black Black Black Black Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black\nYellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Yellow Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Yellow Yellow Black Black Black Black Yellow Yellow\nGreen Green Black Black Yellow Yellow Blue Blue Black Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nGreen Green Black Black Yellow Yellow Blue Blue Black Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Green Green Green Green Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Green Green Green Green Black Black\nBlack Black Black Black Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Green Green Black Black Black Black Green Green Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Green Green Black Black Black Black Green Green Black Black Black Black Yellow Yellow\nBlack Black Black Black Green Green Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Green Green Green Green\nBlack Black Black Black Green Green Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Green Green Green Green\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Green Green Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Green Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Orange Orange Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Orange Orange Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Orange Orange Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Orange Orange Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Blue Blue Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Blue Blue Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\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\nBlack Gray Purple Brown Black\nBlack Pink Yellow Pink Black\nBlack Orange Purple Yellow Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Gray Purple Brown Black\nBlack Black Black Pink Yellow Pink Black\nBlack Black Black Orange Purple Yellow Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Blue Pink Green Black\nBlack Red Blue Yellow Black\nBlack Orange Pink Green Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Blue Pink Green Black\nBlack Black Black Red Blue Yellow Black\nBlack Black Black Orange Pink Green Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Blue Green Red Black\nBlack Yellow Yellow Brown Black\nBlack Gray Orange Green Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Blue Green Red Black\nBlack Black Black Yellow Yellow Brown Black\nBlack Black Black Gray Orange Green Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Brown Gray Brown Black\nBlack Pink Green Gray Black\nBlack Pink Gray Gray Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Brown Gray Brown Black\nBlack Black Black Pink Green Gray Black\nBlack Black Black Pink Gray Gray Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue 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 Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue 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:\nBrown Brown Purple Purple Blue Blue Orange Brown\nBrown Brown Purple Purple Blue Blue Red Pink\nRed Brown Brown Red Brown Brown Brown Brown\nOrange Gray Yellow Orange Brown Brown Brown Brown\nOrange Orange Pink Pink Pink Gray Brown Gray\nOrange Orange Pink Pink Orange Green Yellow Pink\nOrange Blue Green Red Red Blue Blue Gray\nYellow Purple Orange Blue Yellow Orange Purple Red\nYellow Yellow Blue Purple Orange Orange Yellow Purple\nYellow Yellow Green Brown Orange Orange Pink Red\n\nOutput:\nBrown Brown Purple Purple Blue Blue Black Black\nBrown Brown Purple Purple Blue Blue Black Black\nBlack Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown\nOrange Orange Pink Pink Black Black Black Black\nOrange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nYellow Yellow Black Black Orange Orange Black Black\nYellow Yellow Black Black Orange Orange Black Black\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Gray Gray Gray Pink Brown Brown\nOrange Orange Orange Orange Gray Gray Orange Green Brown Brown\nYellow Pink Orange Pink Brown Green Orange Brown Gray Gray\nGreen Purple Purple Gray Pink Gray Purple Green Gray Gray\nGray Yellow Orange Orange Gray Gray Purple Purple Pink Blue\nRed Orange Orange Orange Gray Gray Purple Purple Green Red\nRed Yellow Yellow Brown Blue Blue Green Green Yellow Yellow\nGreen Orange Pink Blue Blue Blue Green Green Yellow Yellow\nOrange Yellow Yellow Yellow Yellow Yellow Orange Orange Brown Brown\nRed Purple Yellow Yellow Yellow Yellow Orange Orange Brown Brown\n\nOutput:\nOrange Orange Orange Orange Gray Gray Black Black Brown Brown\nOrange Orange Orange Orange Gray Gray Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Orange Orange Gray Gray Purple Purple Black Black\nBlack Black Orange Orange Gray Gray Purple Purple Black Black\nBlack Black Black Black Blue Blue Green Green Yellow Yellow\nBlack Black Black Black Blue Blue Green Green Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Orange Orange Brown Brown\nBlack Black Yellow Yellow Yellow Yellow Orange Orange Brown Brown\n\n\nExample 3\nInput:\nBrown Blue Blue Gray Yellow Green Pink\nGray Purple Pink Orange Orange Purple Pink\nYellow Yellow Orange Green Orange Pink Brown\nYellow Yellow Pink Blue Yellow Gray Brown\nPink Green Yellow Orange Blue Blue Green\nYellow Orange Red Purple Blue Blue Green\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black\nYellow Yellow Black Black Black Black Black\nBlack Black Black Black Blue Blue Black\nBlack Black Black Black Blue Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Red Orange Red Brown Yellow\nYellow Orange Gray Blue Gray Green\nBlue Blue Gray Pink Pink Pink\nBlue Blue Blue Green Pink Pink\nGreen Blue Brown Brown Orange Orange\nBrown Red Brown Brown Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlue Blue Black Black Pink Pink\nBlue Blue Black Black Pink Pink\nBlack Black Brown Brown Orange Orange\nBlack Black Brown Brown 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\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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Red Red Red 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 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 Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Red Red Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\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\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 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 Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green 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 Green Green Green 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 Green Green Green 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 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 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 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 Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Green Green Green 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 Green Green Green 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 Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green 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 Green Green Green 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 Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black 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 Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Orange Brown Gray Black Black Blue Black Black Black Black\nBlack Black Black Brown Brown Gray Black Gray Gray Gray Pink Black Black\nBlack Black Black Brown Brown Gray Black Blue Blue Brown Pink Black Black\nBlack Black Black Orange Brown Gray Black Blue Orange Yellow Black Black Black\nBlack Black Black Black Black Black Black Brown Red Blue Black Black Black\nBlack Orange Orange Purple Blue Blue Black Black Black Black Black Black Black\nBlack Orange Purple Purple Purple Purple Black Brown Brown Brown Brown Black Black\nBlack Purple Purple Yellow Orange Orange Black Brown Purple Purple Brown Black Black\nBlack Blue Purple Orange Black Black Black Brown Purple Purple Brown Black Black\nBlack Blue Purple Orange Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Orange Black Black Black\nBlack Black Black Black Black Yellow Red Red Orange Orange Black Black Black\nBlack Black Black Black Black Yellow Green Green Blue Purple Black Black Black\nBlack Black Black Black Black Yellow Green Green Purple Purple Black Black Black\nBlack Black Black Black Black Yellow Black Brown 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 Blue Blue Purple Orange Orange Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Orange Black Black Black Black\nBlack Black Black Black Orange Orange Yellow Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Orange Purple Blue Black Black Black Black\nBlack Black Black Black Black Black Orange Purple Blue 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\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Orange Orange Brown Black Black\nBrown Brown Gray Brown Brown Black Brown Green Green Brown Black Black\nBrown Gray Gray Gray Brown Black Brown Orange Orange Brown Black Black\nPurple Yellow Red Yellow Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Pink Purple Blue\nBlack Black Black Black Black Black Black Pink Blue Pink Pink Black\nOrange Green Orange Orange Orange Black Black Pink Blue Pink Pink Black\nOrange Purple Blue Blue Orange Black Black Green Green Pink Purple Blue\nOrange Purple Blue Blue Orange Black Black Black Black Black Black Black\nOrange Green Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Purple Green Black Black Black\nBlack Black Black Black Black Black Brown Pink Brown Black Black Black\nBlack Black Black Black Black Black Brown Black Brown Black Black Black\n\nOutput:\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 Green Purple Purple Green Black Black Black Black Black\nBlack Black Black Orange Blue Blue Orange Black Black Black Black Black\nBlack Black Black Orange Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nPink Pink Purple Black Black Black Black Black Black Black Black Black\nPink Brown Purple Black Black Black Black Yellow Yellow Black Black Black\nPink Blue Black Black Black Black Black Gray Orange Pink Pink Black\nPink Brown Purple Black Black Black Black Gray Orange Pink Pink Black\nPink Pink Purple Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Red Red Blue Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Yellow Blue Blue Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Purple Red Blue Black Black Black Black Black\nBlack Black Black Blue Purple Red Red Black Black Black Black Black\nBlack Black Black Blue Purple Red Red Black Black Black Black Black\nBlack Black Black Yellow Purple Red 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\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 Blue Orange Black Black Black Black Brown Brown Red Red Red Black Black\nBlack Blue Orange Orange Black Black Black Pink Brown Brown Black Black Black Black\nBlack Orange Blue Blue Black Black Black Pink Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Blue Pink Pink\nBlack Yellow Black Gray Black Black Black Black Black Black Red Yellow Black Black\nBlack Pink Purple Purple Blue Black Black Black Black Black Black Black Black Black\nBlack Black Yellow 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Pink Pink Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Red Brown Brown Red\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 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 Blue Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Pink Pink Red Red Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Red Red Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Green Green Green Green Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Green Green Green Green Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Red Red Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Red Red Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Pink Pink Red Red Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Pink Pink Red Red Pink Pink Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Green Green Orange Orange Pink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink\nBlack Black Orange Orange Green Green Orange Orange Pink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink\nOrange Orange Green Green Orange Orange Green Green Orange Orange Pink Pink Black Black Black Black Pink Pink Black Black\nOrange Orange Green Green Orange Orange Green Green Orange Orange Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Orange Orange Black Black Orange Orange Red Red Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Orange Orange Red Red Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Pink Pink Red Red Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Red Red Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Red Red Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Red Red Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Red Red Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Red Red Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Orange Orange Black Black Black Black Pink Pink Red Red Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Orange Orange Black Black Black Black Pink Pink Red Red Pink Pink Black Black\nPink Pink Red Red Pink Pink Orange Orange Green Green Orange Orange Black Black Black Black Pink Pink Black Black Black Black\nPink Pink Red Red Pink Pink Orange Orange Green Green Orange Orange Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Pink Pink Red Red Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Red Red 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 Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Orange Orange Black Black Black Black Pink Pink Black Black Black Black\nPink Pink Black Black Black Black Orange Orange Black Black Black Black Pink Pink Black Black Black Black\nRed Red Pink Pink Orange Orange Green Green Orange Orange Pink Pink Red Red Pink Pink Black Black\nRed Red Pink Pink Orange Orange Green Green Orange Orange Pink Pink Red Red Pink Pink Black Black\nRed Red Pink Pink Black Black Orange Orange Black Black Black Black Pink Pink Black Black Black Black\nRed Red Pink Pink Black Black Orange Orange Black Black Black Black Pink Pink Black Black Black Black\nPink Pink 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\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Orange Orange 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 Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow 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 Orange Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Yellow Yellow Yellow Orange Yellow\nYellow Yellow Yellow Orange Yellow Yellow Yellow Yellow Yellow Pink Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Orange Yellow Green Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Orange Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Orange Yellow Yellow Green Yellow Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Orange Yellow Yellow Green Yellow Pink Yellow Brown Yellow\nYellow Yellow Yellow Yellow Yellow Orange Yellow Yellow Green Yellow Pink Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Orange Brown Yellow Green Yellow Pink Yellow\nYellow Yellow Yellow Orange Yellow Yellow Yellow Orange Brown Pink Green Yellow Pink\nYellow Yellow Yellow Yellow Orange Yellow Yellow Brown Orange Brown Pink Green Yellow\nYellow Yellow Yellow Yellow Yellow Orange Brown Pink Orange Orange Brown Pink Green\nYellow Yellow Yellow Yellow Yellow Brown Orange Orange Pink Pink Orange Brown Pink\nYellow Orange Yellow Green Brown Yellow Orange Orange Pink Pink Pink Orange Brown\nYellow Yellow Orange Yellow Green Yellow Yellow Yellow Orange Pink Pink Yellow Yellow\nYellow Yellow Yellow Orange Yellow Green Yellow Yellow Yellow Orange Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Orange Green Green Green\nGreen Green Green Green Purple Green Green Green Green Green Green Brown Green\nGreen Green Green Green Green Green Green Brown Green Gray Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Brown Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Green Green\nGreen Green Green Red Green Green Green Green Yellow Yellow Yellow Yellow Green\nGreen Green Green Green Green Green Yellow Green Yellow Yellow Yellow Yellow Green\nGreen Green Blue Green Green Green Yellow Yellow Yellow Green Green Green Green\nGreen Green Green Green Brown Green Yellow Yellow Yellow Green Green Green Green\nGreen 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\nGreen Green Green Green Green Green Green Green Green Orange Green Green Green\nGreen Green Green Green Purple Green Green Green Orange Green Green Brown Green\nGreen Green Green Green Green Purple Green Orange Green Gray Brown Green Green\nGreen Green Green Green Green Green Orange Brown Gray Brown Green Green Green\nGreen Green Green Green Brown Orange Green Purple Brown Green Green Green Green\nGreen Green Green Green Orange Brown Gray Brown Purple Yellow Yellow Green Green\nGreen Green Green Orange Green Gray Brown Brown Yellow Purple Yellow Yellow Green\nGreen Green Orange Green Gray Brown Yellow Brown Yellow Yellow Purple Yellow Green\nGreen Orange Blue Gray Brown Red Yellow Brown Brown Yellow Yellow Purple Green\nOrange Green Gray Brown Brown Yellow Yellow Brown Yellow Brown Green Green Purple\nGreen Green Green Green Blue Green Green Green Yellow Green Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Blue Green Green\nGreen Green Green Blue Green Green Orange Green Green Green Green\nGreen Green Green Green Green Green Green Green Pink Green Green\nGreen Orange Green Green Green Green Green Green Green Green Green\nGreen Green Green Purple Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Brown Brown Green Green Green\nGreen Green Green Green Brown Brown Brown Brown Green Green Green\nGreen Green Pink Green Green Brown Brown Brown Brown Green Green\nGreen Green Green Green Green Green Brown Brown Brown Green Green\nGreen Green Gray Green Purple Green Brown Brown Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Blue Green Green\nGreen Green Green Blue Green Green Orange Green Blue Green Green\nGreen Green Green Green Blue Green Green Orange Blue Green Green\nGreen Orange Green Green Green Blue Green Green Blue Green Green\nGreen Green Orange Purple Green Green Blue Green Blue Orange Green\nGreen Green Green Orange Purple Green Brown Blue Blue Green Orange\nGreen Green Green Green Orange Purple Brown Brown Blue Green Green\nGreen Green Pink Green Green Orange Purple Brown Blue Blue Green\nGreen Green Green Pink Green Green Orange Purple Blue Brown Blue\nGreen Green Gray Gray Pink Gray Brown Orange Purple Green Green\nGreen Green Green Green Green Pink Green Green Green Green Green\nGreen Green Green Green Green Green Pink Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Red Purple Gray Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Pink Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Orange Purple Gray Gray Gray Gray Gray Purple Purple\nPurple Purple Purple Gray Gray Gray Gray Gray Gray Purple\nPurple Purple Purple Gray Gray Purple Gray Gray Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Pink Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Red Purple Gray Purple Purple Purple\nPurple Purple Purple Purple Red Purple Gray Purple Pink Purple\nPurple Purple Purple Purple Red Purple Gray Pink Purple Purple\nPurple Orange Purple Gray Red Gray Gray Gray Purple Purple\nPurple Purple Orange Gray Red Pink Gray Gray Gray Purple\nPurple Purple Purple Orange Red Gray Gray Gray Purple Purple\nPurple Purple Purple Green Orange Purple Pink Purple Purple Purple\nPurple Purple Green Purple Purple Purple Pink Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Pink Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Black Blue Black Black Red\nPink Black Black Blue Black Black\nBlack Black Black Blue Black Black\nBlack Green Black Blue Black Black\nBlack Blue Blue Black Black Black\n\nOutput:\nBlack Black Blue Black Black Red\nPink Black Black Blue Black Black\nBlack Black Black Blue Black Black\nBlack Green Black Blue Black Black\nBlack Blue Blue Black Black Black\n\n\nExample 2\nInput:\nPink Black Brown Black Black Black\nBrown Pink Orange Brown Black Black\nPink Pink Black Brown Orange Black\nOrange Black Orange Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Brown Black Black Black\nBrown Pink Orange Brown Black Black\nPink Pink Black Brown Orange Black\nOrange Black Orange Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Orange Black Black Purple Black\nOrange Orange Black Brown Black Black\nBlack Purple Black Black Black Purple\nBlack Black Purple Black Black Black\nBlack Black Black Black Pink Black\n\nOutput:\nBlack Orange Black Black Purple Black\nOrange Orange Black Brown Black Black\nBlack Purple Black Black Black Purple\nBlack Black Purple Black Black Black\nBlack Black Black Black Pink Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Gray Black\nBlack Gray Black Black Green Green Black Gray\nBlack Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Green Black\nBlack Black Blue Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black\nBlack Gray Black Black Green Green Black Gray\nBlack Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Green Black\nBlack Black Blue Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black 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\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 Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Blue Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Yellow 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 Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray 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\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow 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\nYellow 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray 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\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Green Green Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Green Green Green Green Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Black Black\nGreen Green Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red 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 Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Green Green Green Green Red Red Red Red Red Red Black Black Black Black\nBlack Black Green Green Green Green Green Green Red Red Red Red Red Red Red Red Black Black\nBlack Black Green Green Green Green Green Green Red Red Red Red Red Red Red Red Black Black\nGreen Green Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Yellow Yellow Orange Orange\nOrange Orange Orange Orange Orange Orange Yellow Yellow Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Gray Gray Pink Pink Pink\nPink Pink Pink Pink Pink Gray Gray Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Gray Gray Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black\nRed Red Red Black Black Brown Black Black\nBlack Black Black Brown Brown Brown Black Black\nBlack Red Red Black Black Black Black Black\nBlack Black Red Black Black Black Black Black\nBlack Black Red Black Black Black Black Black\nBlack Black Red Black Red Red Red Black\nBlack Black Black Black Red Black Black Black\nBlack Blue Blue Blue Red Black Black Black\nBlack Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black\nBlack Black Red Red Red Black Black Black\nBlack Black Red Black Red Brown Brown Brown\nBlack Blue Blue Blue Blue Black Black Black\nBlack Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Black\nBlack Black Black Blue Blue Blue Blue Black\nBrown Brown Brown Red Black Red Black Black\nRed Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Black Black\nBlack Red Red Black Black Black Black Black\nBlack Black Red Black Black Blue Blue Black\nBlack Black Red Red Blue Blue Blue Black\nBlack Black Red Red Red Red Red Black\nBlack Red Red Red Red Red Black Black\nBlack Blue Blue Blue Red Red Black Black\nBlack Blue Blue Black Black Red Black Black\nBlack Black Black Black Black Red Red Black\nBlack Black Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red\nBlack Black Red Black Red Red Red Red\nBlack Blue Blue Blue Blue Black Black Black\nBlack Blue Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Red Red Red Red Green Black Blue Gray Blue\nBlack Black Red Red Black Green Black Blue Gray Blue\nGreen Green Red Red Black Green Red Black Blue Blue\nGreen Green Red Red Black Green Red Black Black Black\nBlack Black Black Black Black Green Red Red Black Black\n\nOutput:\nBlack Black Red Red Green Black Black Black Black Black\nBlack Black Black Red Green Black Red Red Green Green\nBlue Blue Red Red Green Green Red Red Green Green\nBlue Gray Blue Red Green Green Red Red Gray Blue\nBlue Gray Blue Red Green Red Red Red Red Blue\nGreen Gray Red Red Black Green Red Black Black Black\nBlack Black Black Black Black Green Red Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Black Yellow Yellow\nOrange Black Black Black Black Black Blue Black Black Black Black\nOrange Brown Brown Black Black Black Blue Blue Red Red Red\nOrange Brown Brown Black Black Black Black Black Red Black Black\nBlack Brown Brown Black Brown Brown Black Red Red Red Black\nBlack Brown Brown Black Black Black Black Red Red Red Black\n\nOutput:\nBlack Red Red Red Black Black Black Black Black Yellow Yellow\nBlack Red Red Red Black Black Blue Blue Black Yellow Yellow\nOrange Black Red Black Black Black Blue Black Black Black Black\nRed Red Red Blue Blue Black Blue Blue Red Red Red\nOrange Brown Brown Black Blue Black Black Black Red Black Black\nBlack Brown Brown Blue Blue Brown Black Red Red Red Black\nBlack Brown Brown Black Black Black Black Red Red Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Red Black Blue Black Black Black\nBlack Gray Black Red Black Blue Black Black Black\nBlack Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Red Red Black Black\nBlack Black Black Black Black 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 Red Red Black Black Black Black Black\nBlack Black Red Red Blue Blue Blue Black Black\nBlack Black Red Red Black Blue Black Black Black\nBlack Black Black Blue Black Red Black Black Black\nBlack Black Black Blue Black Red Black Black Black\nBlack Gray Black Blue Black Blue Black Black Black\nBlack Black Black Blue Black Red Red Black Black\nBlack Black Blue Blue Blue Blue Red Black Black\nBlack Black Black Black Black 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:\nGreen Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Yellow\nBlack Yellow Black Black Black Black Black Black\nBlack Pink Black Black Black Green Black Black\nBlack Red Black Orange Green Black Black Green\nYellow Black Black Black Red Green Green Yellow\nBlack Orange Red Black Black Black Red Black\nPink Black Pink Orange Black Black Black Black\n\nOutput:\nGreen 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 Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Red Green Black Orange Pink Black\nPink Black Black Orange Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Blue Orange Black Black Orange Black Red\nBlack Yellow Black Black Black Black Red Black Black\nBlack Black Black Black Green Black Pink Orange 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\nBlack Black Black Black Green Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Green Black Black\nBlack Black Black Black Black\nBlue Black Black Black Black\nGreen Black Red Black Black\nBlack Blue Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Green Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Black Yellow Red Black\nBlue Black Black Black Black\nRed Black Green Black Black\nOrange Yellow Black Black Black\nBlue Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Green 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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Brown Yellow Brown Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\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 Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Orange Black Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Green Black Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Black Black Black\nBlack Black Black Black Black Green Black Black Green Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black 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 Orange Orange Orange Orange Black Black Black Black\nBlack Orange Black Red Orange Black Black Black Black\nBlack Orange Orange Orange Orange 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 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 Red Red Red Red Black Black Black Black\nBlack Red Black Black Red Black Black Black Black\nBlack Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Black Yellow\nBlack Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 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 Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Black Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow 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 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 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 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 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\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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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\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 Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Blue Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Blue Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Blue Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Blue Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Red Red Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Red Red Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Red Blue Blue Blue Blue Black Black\nBlack Black Red Red Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Blue Blue Blue Blue Yellow Yellow Blue Blue\nBlack Black Blue Blue Blue Blue Yellow Yellow Blue Blue\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Red Blue Blue Blue Blue Black Black\nBlack Black Red Red Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Blue Blue Blue Blue Yellow Yellow Blue Blue\nBlack Black Blue Blue Blue Blue Yellow Yellow Blue Blue\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Red Red 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 Brown Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nRed Black Red Black Red Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Red Red Red Black Black Black Orange Black Black Black Pink Brown Pink Pink Black Black\nBlack Black Red Black Black Brown Black Orange Orange Brown Pink Pink Pink Black Pink Black Black\nBlack Black Black Black Black Orange Black Orange Orange Orange Brown Pink Black Pink Black Pink Black\nBlack Black Black Black Black Brown Black Black Black Brown Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Brown Brown Orange Brown Black Pink Pink Pink Black Pink Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black 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 Green Green\nGreen Green Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Red Green Red Green Green Green Green Green Green Green Green Green Green Green Green Green\nRed Green Red Green Red Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Orange Orange Gray Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Gray Black Gray Gray Gray Black\nBlack Black Red Black Black Orange Orange Orange Black Black Black Gray Gray Gray Black\nBlack Black Red Red Black Black Black Orange Gray Black Gray Gray Gray Black Gray\nRed Black Red Black Black Black Orange Orange Orange Gray Gray Gray Gray Black Black\nBlack Black Red Black Purple Black Black Purple Black Gray Gray Black Black Gray Black\nBlack Black Black Black Purple Black Black Purple Pink Black Black Gray Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Purple Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Pink Black Pink Black Black Black Black Black\nBlack Black Black Black Black Purple 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 Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Orange Orange Red Orange Orange Gray Red\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black 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\nRed 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 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 Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Red Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Green Green Green Black Green Black Black\nBlack Black Black Green Green Green Green Green Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Green Black Black Green Black Green Green Green Black Green Black\nBlack Black Black Black Black Green Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green 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 Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Green Red Red Red Red Red Green Red\nBlack Black Black Red Red Red Red Red Red Green Red Red Green Green Green Red\nBlack Black Black Red Red Red Green Green Green Green Green Red Green Green Green Green\nBlack Black Black Red Red Red Red Red Green Red Red Green Red Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Gray Green Black Black Black Black Black Black\nBlack Black Gray Gray Gray Pink Black Black Green Black Black Black Black Black\nBlack Black Gray Pink Pink Pink Black Black Green Green Pink Black Black Black\nBlack Black Black Pink Black Pink Pink Black Green Pink Pink Pink Pink Pink\nBlack Black Pink Black Black Pink Black Pink Pink Green Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Pink Green Green Black Pink Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Gray Red Red Red Red Red Red Red\nBlack Black Red Red Gray Gray Gray Red Gray Green Red Red Red Red\nBlack Black Red Red Gray Gray Gray Pink Red Red Green Red Red Red\nBlack Black Red Red Gray Pink Pink Pink Red Red Green Green Pink Red\nBlack Black Red Red Red Pink Red Pink Pink Red Green Pink Pink Pink\nBlack Black Red Red Pink Red Red Pink Red Pink Pink Green Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Black Black Black Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Yellow Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Black Black Black Yellow Black Yellow Black Black Black Yellow Black Yellow Black\nBlack Black Yellow Black Yellow Black Black Yellow Black Black Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Black Yellow Yellow Black Black Yellow Black Black Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black\nYellow Black Black Black Yellow Yellow Black Yellow Black Yellow Black Black Black Black Black Yellow Black Black\n\nOutput:\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow\nYellow Yellow Black Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow\n\n\nExample 2\nInput:\nBlack Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Yellow Yellow\nBlack Black Black Yellow Black Yellow Black\nBlack Black Black Black Yellow Yellow Yellow\nYellow Black Black Black Black Black Black\nYellow Black Black Yellow Yellow Black Yellow\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black\nBlack Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black\n\nOutput:\nYellow Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Yellow Black Black\nYellow Yellow Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Black Black Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow\nYellow Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Yellow Black Black Black\nBlack Black Yellow Black Black Black Black\nYellow Black Black Black Yellow Black Yellow\nBlack Black Black Black Yellow Black Yellow\nBlack Yellow Black Black Black Yellow Black\nYellow Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Black Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Yellow Black\nYellow Yellow Yellow Yellow Black Yellow Black\nYellow Black Yellow Yellow Yellow Black Yellow\nBlack Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Yellow Black Yellow Black Black Black\nYellow Black Black Yellow Black Yellow Yellow Black Black\nBlack Yellow Black Black Yellow Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow Black Yellow\nBlack Black Black Black Black Black Yellow Black Black\nYellow Yellow Yellow Black Black Yellow Yellow Black Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Yellow Yellow Yellow Yellow Black Black Black Yellow\nYellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow\nBlack Yellow Yellow Black Yellow Black Black Yellow Yellow\nYellow Black Yellow Yellow Black Yellow Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Black Black Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow\nBlack Black Black Yellow Yellow Black Black Yellow Black\n```",
"role": "assistant"
}
]
|
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