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"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Green Black\nGray Gray Gray Black Black Black Black Black Black Black Green Gray Green\nGray Gray Gray Black Black Black Black Black Black Black Black Green Black\nGray Black Gray Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Gray Red Black Black\nBlack Black Black Black Black Black Black Red Black Gray Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Red Green Black Black Black Black Black Black Black Black\nBlack Green Green Gray Gray Black Black Black Black Black Black Black Black\nBlack Green Green Gray Gray Black Black Black Black Black Black Black Black\nBlack Blue Blue Red Green Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Black Yellow Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Yellow Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Gray Gray Black Black Black Black Black Gray Gray Gray Gray\nBlack Gray Gray Black Black Black Black Black Gray Gray Gray Gray\nBlack Green Gray Black Black Black Black Black Green Green Green Green\nBlack Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Black Black Black\nBlack Black Black Black Black Red Gray Red Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Green Black Black Black Black\nBlack Black Black Green Gray Green Black Green Gray Green Black Black\nBlack Black Gray Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Gray Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black 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 Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Black Black Yellow 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 Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Green Red Green Black Black Black Black Black Black Black\nBlack Black Black Black Blue Gray Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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"
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"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Gray Gray Gray Gray Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Gray Gray Gray Gray Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Gray Gray Gray Gray Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Gray Gray Gray Gray Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Pink Pink Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Gray Gray Gray Gray\nOrange Orange Orange Orange Pink Pink Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Gray Gray Gray Gray\nOrange Orange Orange Orange Pink Pink Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Gray Gray Gray Gray\nOrange Orange Orange Orange Pink Pink Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Pink Pink Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange Orange Orange\nGray Gray Gray Gray Pink Pink Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange Orange Orange\nGray Gray Gray Gray Pink Pink Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange Orange Orange\nGray Gray Gray Gray Pink Pink Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray Gray Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray Gray Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray Gray Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray Gray Orange Orange Orange Orange\n\nOutput:\nPurple Purple Purple Purple Black Black Black Black Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Black Black Black Black\nPurple Purple Purple Purple Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Black Black Black Black\nPurple Purple Purple Purple Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Black Black Black Black\nPurple Purple Purple Purple Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Black Black Black Black Purple Purple Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Green Green Green Green Green Green Green Green\nBlack Black Black Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Green Green Green Green Green Green Green Green\nBlack Black Black Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Green Green Green Green Green Green Green Green\nBlack Black Black Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green\nPurple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green\nPurple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green\nPurple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Pink Pink Pink Pink Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Pink Pink Pink Pink Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Pink Pink Pink Pink Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Pink Pink Pink Pink Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green\nPurple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green\nPurple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green\nPurple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green\nBlack Black Black Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Green Green Green Green Green Green Green Green\nBlack Black Black Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Green Green Green Green Green Green Green Green\nBlack Black Black Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Green Green Green Green Green Green Green Green\nBlack Black Black Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Green Green Green Green Green Green Green Green\n\nOutput:\nRed Red Red Red Orange Orange Orange Orange Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Orange Orange Orange Orange Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Orange Orange Orange Orange Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Orange Orange Orange Orange Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nPink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nPink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nPink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nPink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nPink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nPink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nRed Red Red Red Orange Orange Orange Orange Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Orange Orange Orange Orange Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Orange Orange Orange Orange Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Orange Orange Orange Orange Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Red Red Red Red Orange Orange Orange Orange Red Red Red Red Red Red Red Red\nOrange Orange Orange Orange Red Red Red Red Orange Orange Orange Orange Red Red Red Red Red Red Red Red\nOrange Orange Orange Orange Red Red Red Red Orange Orange Orange Orange Red Red Red Red Red Red Red Red\nOrange Orange Orange Orange Red Red Red Red Orange Orange Orange Orange Red Red Red Red Red Red Red Red\nGreen Green Green Green Red Red Red Red Pink Pink Pink Pink Red Red Red Red Gray Gray Gray Gray\nGreen Green Green Green Red Red Red Red Pink Pink Pink Pink Red Red Red Red Gray Gray Gray Gray\nGreen Green Green Green Red Red Red Red Pink Pink Pink Pink Red Red Red Red Gray Gray Gray Gray\nGreen Green Green Green Red Red Red Red Pink Pink Pink Pink Red Red Red Red Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Red Red Red Red Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Red Red Red Red Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Red Red Red Red Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Red Red Red Red Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Red Red Red Red Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Red Red Red Red Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Red Red Red Red Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Red Red Red Red Orange Orange Orange Orange\nBlack Black Black Black Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Green Green Green Green Purple Purple Purple Purple Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Green Green Green Green Purple Purple Purple Purple Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Green Green Green Green Purple Purple Purple Purple Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Green Green Green Green Purple Purple Purple Purple Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Green Green Green Green Brown Brown Brown Brown Green Green Green Green Black Black Black Black\nBlue Blue Blue Blue Green Green Green Green Brown Brown Brown Brown Green Green Green Green Black Black Black Black\nBlue Blue Blue Blue Green Green Green Green Brown Brown Brown Brown Green Green Green Green Black Black Black Black\nBlue Blue Blue Blue Green Green Green Green Brown Brown Brown Brown Green Green Green Green Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green Brown Brown Brown Brown\nOrange Orange Orange Orange Pink Pink Pink Pink Yellow Yellow Yellow Yellow Green Green Green Green Purple Purple Purple Purple\nOrange Orange Orange Orange Pink Pink Pink Pink Yellow Yellow Yellow Yellow Green Green Green Green Purple Purple Purple Purple\nOrange Orange Orange Orange Pink Pink Pink Pink Yellow Yellow Yellow Yellow Green Green Green Green Purple Purple Purple Purple\nOrange Orange Orange Orange Pink Pink Pink Pink Yellow Yellow Yellow Yellow Green Green Green Green Purple Purple Purple Purple\nRed Red Red Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Red Red Red Red\nRed Red Red Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Red Red Red Red\nRed Red Red Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Red Red Red Red\nRed Red Red Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Orange Orange Orange Orange Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Orange Orange Orange Orange Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Orange Orange Orange Orange Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Orange Orange Orange Orange Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Pink Pink Pink Pink Red Red Red Red Pink Pink Pink Pink Blue Blue Blue Blue\nBlue Blue Blue Blue Pink Pink Pink Pink Red Red Red Red Pink Pink Pink Pink Blue Blue Blue Blue\nBlue Blue Blue Blue Pink Pink Pink Pink Red Red Red Red Pink Pink Pink Pink Blue Blue Blue Blue\nBlue Blue Blue Blue Pink Pink Pink Pink Red Red Red Red Pink Pink Pink Pink Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black 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.",
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"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Purple Purple Purple Purple Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Purple Purple Purple Purple Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Purple Purple Purple Purple Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Purple Purple Purple Purple Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack 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 Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow 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 Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple 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\nGray Gray 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\n\nOutput:\nBlack 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 Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Purple Purple\nBlack Black Black Black Black Black Black Black Yellow Yellow Pink Pink Orange Orange Purple Purple\nBlack Black Black Black Black Black Black Black Yellow Yellow Pink Pink Orange Orange Purple Purple\nBlack Black Black Black Black Black Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nBlack Black Black Black Black Black Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nBlack Black Black Black Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nBlack Black Black Black Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nBlack Black Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nBlack Black Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nGray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nGray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\n\n\nExample 2\nInput:\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 Pink Pink\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 Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink\nBlack Black Black Black Black Black Black Black Yellow Yellow Orange Orange Pink Pink\nBlack Black Black Black Black Black Black Black Yellow Yellow Orange Orange Pink Pink\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Orange Orange Pink Pink\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Orange Orange Pink Pink\nBlack Black Black Black Red Red Blue Blue Yellow Yellow Orange Orange Pink Pink\nBlack Black Black Black Red Red Blue Blue Yellow Yellow Orange Orange Pink Pink\nBlack Black Green Green Red Red Blue Blue Yellow Yellow Orange Orange Pink Pink\nBlack Black Green Green Red Red Blue Blue Yellow Yellow Orange Orange Pink Pink\nPink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange Pink Pink\nPink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange\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 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 Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Orange Orange\nBlack Black Black Black Black Black Black Black Brown Brown Gray Gray Orange Orange\nBlack Black Black Black Black Black Black Black Brown Brown Gray Gray Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Brown Brown Gray Gray Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Brown Brown Gray Gray Orange Orange\nBlack Black Black Black Yellow Yellow Yellow Yellow Brown Brown Gray Gray Orange Orange\nBlack Black Black Black Yellow Yellow Yellow Yellow Brown Brown Gray Gray Orange Orange\nBlack Black Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray Orange Orange\nBlack Black Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray Orange Orange\nGreen Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray Orange Orange\nGreen Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Pink Pink Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Green Green Gray Gray Pink Pink Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Green Green Gray Gray Pink Pink Gray Gray\nBlack Black Black Black Black Black Black Black Pink Pink Green Green Gray Gray Pink Pink Gray Gray\nBlack Black Black Black Black Black Black Black Pink Pink Green Green Gray Gray Pink Pink Gray Gray\nBlack Black Black Black Black Black Brown Brown Pink Pink Green Green Gray Gray Pink Pink Gray Gray\nBlack Black Black Black Black Black Brown Brown Pink Pink Green Green Gray Gray Pink Pink Gray Gray\nBlack Black Black Black Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink Gray Gray\nBlack Black Black Black Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink Gray Gray\nBlack Black Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink Gray Gray\nBlack Black Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink Gray Gray\nBlue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink Gray Gray\nBlue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink 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:\nBrown Gray Yellow Gray Orange Brown Yellow Brown\nOrange Yellow Blue Brown Purple Green Blue Purple\nYellow Red Blue Purple Green Gray Pink Blue\nGray Orange Orange Brown Orange Pink Gray Orange\nRed Purple Green Yellow Purple Gray Orange Green\nOrange Green Pink Gray Brown Green Yellow Gray\nBrown Blue Green Gray Gray Green Green Orange\nYellow Purple Red Brown Pink Yellow Purple Red\nPurple Green Purple Green Orange Pink Orange Gray\nOrange Yellow Pink Yellow Gray Green Red Pink\nRed Green Gray Brown Purple Pink Yellow Red\nOrange Blue Orange Red Brown Blue Gray Green\nRed Brown Red Orange Red Brown Yellow Purple\nPurple Blue Brown Yellow Gray Purple Orange Brown\nRed Purple Green Brown Green Gray Pink Red\nYellow Green Yellow Pink Brown Orange Green Brown\nPink Orange Pink Red Brown Purple Yellow Orange\nPurple Gray Orange Purple Pink Gray Brown Purple\n\nOutput:\nGray Yellow Gray Brown Brown Green Brown Purple\nBrown Orange Yellow Blue Orange Purple Yellow Blue\nRed Orange Purple Brown Gray Pink Blue Orange\nYellow Gray Blue Orange Green Orange Pink Gray\nPurple Green Yellow Gray Gray Green Green Gray\nRed Orange Green Pink Purple Brown Orange Yellow\nBlue Purple Gray Brown Green Yellow Orange Red\nBrown Yellow Green Red Gray Pink Green Purple\nGreen Yellow Green Yellow Pink Green Gray Pink\nPurple Orange Purple Pink Orange Gray Orange Red\nGreen Blue Brown Red Pink Blue Red Green\nRed Orange Gray Orange Purple Brown Yellow Gray\nBrown Blue Orange Yellow Brown Purple Purple Brown\nRed Purple Red Brown Red Gray Yellow Orange\nPurple Green Brown Pink Gray Orange Red Brown\nRed Yellow Green Yellow Green Brown Pink Green\nOrange Gray Red Purple Purple Gray Orange Purple\nPink Purple Pink Orange Brown Pink Yellow Brown\n\n\nExample 2\nInput:\nRed Gray Pink Yellow Pink Green Green Brown Orange Green\nPink Orange Purple Brown Gray Purple Red Orange Purple Pink\nBrown Pink Brown Purple Purple Orange Orange Blue Brown Purple\nGreen Gray Gray Pink Green Gray Brown Gray Blue Orange\nGreen Yellow Blue Yellow Yellow Gray Green Red Purple Pink\nBlue Orange Green Pink Orange Purple Pink Blue Brown Gray\n\nOutput:\nGray Orange Yellow Brown Green Purple Brown Orange Green Pink\nRed Pink Pink Purple Pink Gray Green Red Orange Purple\nPink Gray Purple Pink Orange Gray Blue Gray Purple Orange\nBrown Green Brown Gray Purple Green Orange Brown Brown Blue\nYellow Orange Yellow Pink Gray Purple Red Blue Pink Gray\nGreen Blue Blue Green Yellow Orange Green Pink Purple Brown\n\n\nExample 3\nInput:\nGray Yellow Red Green Pink Red Red Purple Pink Gray\nBlue Pink Gray Orange Blue Gray Brown Green Green Blue\nPink Brown Gray Blue Yellow Gray Yellow Brown Orange Red\nPurple Green Green Yellow Pink Brown Gray Green Yellow Green\nGray Pink Blue Orange Blue Gray Green Pink Green Gray\nBlue Purple Red Brown Red Orange Red Blue Pink Yellow\n\nOutput:\nYellow Pink Green Orange Red Gray Purple Green Gray Blue\nGray Blue Red Gray Pink Blue Red Brown Pink Green\nBrown Green Blue Yellow Gray Brown Brown Green Red Green\nPink Purple Gray Green Yellow Pink Yellow Gray Orange Yellow\nPink Purple Orange Brown Gray Orange Pink Blue Gray Yellow\nGray Blue Blue Red Blue Red Green Red Green Pink\n\n\nHere is the input grid for the test example:\nInput:\nBrown Red Green Yellow Green Red Brown Red\nPurple Yellow Pink Orange Pink Blue Gray Purple\nGreen Orange Orange Purple Pink Blue Gray Yellow\nGray Pink Yellow Gray Yellow Brown Orange Blue\nYellow Blue Orange Purple Brown Purple Green Blue\nRed Pink Pink Gray Yellow Pink Gray Pink\nBlue Purple Pink Purple Red Pink Pink Orange\nOrange Yellow Red Yellow Yellow Green Red Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Yellow Yellow Orange Red Blue Red Purple\nBrown Purple Green Pink Green Pink Brown Gray\nOrange Pink Purple Gray Blue Brown Yellow Blue\nGreen Gray Orange Yellow Pink Yellow Gray Orange\nBlue Pink Purple Gray Purple Pink Blue Pink\nYellow Red Orange Pink Brown Yellow Green Gray\nPurple Yellow Purple Yellow Pink Green Orange Brown\nBlue Orange Pink Red Red Yellow Pink Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black 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 Blue Black Black Black\nBlack Red Red Red Red Blue Black Black Black\nBlack Red Red Red Red Blue Black Black Black\nBlack Red Red Red Red Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Blue Black Black\nBlack Black Red Red Red Red Blue Black Black\nBlack Black Red Red Red Red Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue 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\nRed Red Red Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black\nRed Red Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black\nRed Red Red Red Blue Black Black Black Black\nRed Red Red Red Blue Black Black Black Black\nRed Red Red Red Blue Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue 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 Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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\nBlue Red Red Red Red Black Black Black Black\nBlue Red Red Red Red Black Black Black Black\nBlue Red Red Red Red Black Black Black Black\nBlue Red Red Red Red Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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\nPink Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Red Red Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Red Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple\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\nBlack Brown Black Brown Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black\nBlack Brown Green Brown 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\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Purple Black Purple Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black\nBlack Purple 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\nBlack 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 Red Red Red Red Red\nBlack Black Black Black Black Gray Red Red Gray Gray\nBlack Black Black Black Black Gray Red Red Gray Gray\nBlack Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Purple Purple Purple Purple Purple\nBlack Black Black Black Black Purple Purple Purple Purple Purple\nBlack Black Black Black Black Purple Purple Purple Purple Purple\nBlack Black Black Black Black Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Green Brown Brown Green\nBlack Black Black Green Green Green Green Black\nBlack Black Black Black Green Brown Brown Green\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Green Green Red Blue Pink Green Green\nRed Green Pink Green Yellow Pink Red Pink\nBlue Blue Red Pink Yellow Pink Blue Blue\nGreen Red Green Green Green Green Yellow Pink\nRed Pink Red Pink Yellow Pink Green Green\nPink Yellow Yellow Pink Blue Green Green Green\nPink Pink Red Blue Red Green Yellow Yellow\nYellow Blue Pink Pink Yellow Red Green Blue\n\nOutput:\nGreen Blue Green Red Blue Yellow Yellow Pink\nRed Red Green Blue Yellow Pink Yellow Green\nRed Yellow Blue Red Blue Pink Blue Yellow\nBlue Red Yellow Red Yellow Yellow Green Yellow\nGreen Pink Pink Red Pink Green Blue Pink\nYellow Yellow Yellow Red Yellow Red Red Blue\nRed Blue Green Pink Red Red Pink Red\nRed Yellow Green Yellow Red Red Pink Green\n\n\nExample 2\nInput:\nYellow Red Yellow Green Blue Green Red\nPink Blue Pink Blue Red Blue Red\nPink Red Pink Red Green Pink Red\nYellow Yellow Red Red Red Green Green\nGreen Blue Yellow Green Green Yellow Yellow\nPink Yellow Red Yellow Red Green Blue\nYellow Red Blue Pink Yellow Pink Blue\n\nOutput:\nPink Yellow Yellow Pink Red Yellow Pink\nBlue Green Blue Pink Green Pink Blue\nPink Yellow Yellow Blue Pink Blue Green\nRed Green Blue Blue Red Pink Yellow\nGreen Blue Red Blue Red Blue Pink\nRed Green Yellow Red Pink Red Yellow\nBlue Blue Blue Red Pink Green Green\n\n\nExample 3\nInput:\nPink Blue Pink Green Red Pink Yellow Green Red\nRed Pink Pink Red Yellow Red Red Green Yellow\nRed Blue Yellow Pink Red Blue Pink Blue Blue\nRed Blue Red Yellow Green Pink Blue Pink Green\nPink Green Red Green Yellow Red Green Blue Yellow\nBlue Blue Red Red Yellow Red Pink Yellow Red\nPink Yellow Pink Pink Blue Green Blue Red Blue\nBlue Yellow Green Pink Red Pink Yellow Green Blue\nBlue Green Green Blue Yellow Green Blue Yellow Pink\n\nOutput:\nYellow Blue Blue Blue Yellow Green Yellow Green Green\nGreen Yellow Green Green Red Green Pink Pink Red\nYellow Yellow Pink Blue Blue Blue Yellow Red Red\nRed Blue Yellow Pink Red Blue Yellow Yellow Green\nBlue Pink Blue Red Pink Pink Green Blue Pink\nYellow Blue Green Yellow Blue Blue Red Yellow Red\nPink Blue Yellow Green Red Yellow Green Pink Green\nRed Red Green Yellow Green Pink Blue Red Pink\nBlue Pink Green Red Pink Blue Green Green Yellow\n\n\nHere is the input grid for the test example:\nInput:\nYellow Green Blue Blue Pink\nYellow Yellow Pink Pink Red\nRed Yellow Green Red Green\nPink Green Red Blue Red\nPink Yellow Red Yellow Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Blue Yellow Yellow\nRed Pink Pink Red Pink\nGreen Yellow Red Blue Blue\nGreen Yellow Blue Green Pink\nYellow Blue Red Blue Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Black Black Black Black Black Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Black Black Black Black Black Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Black Black Black Black Black Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Black Black Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange 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 Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Black Black Black Black Black Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black 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\nBlack Black 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\nBlack Black 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\nBlack Black 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\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black\nYellow Pink Pink Yellow Black Black Black\nYellow Pink Pink Yellow Yellow Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange 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\nYellow Yellow Black Black Black Black Black\nOrange Yellow Black Black Black Black Black\nOrange Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Black Black Black\nYellow Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Gray Gray Gray Gray Yellow Black Black\nBlack Yellow Gray Gray Gray Gray Yellow Black Black\nBlack Yellow Gray Gray Gray Gray Yellow Yellow Black\nBlack Yellow Gray Gray Gray Gray Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Pink Pink Pink Pink Green Green Green Green Black Black Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Green Green Green Green Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Green Green Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Green Green Pink Pink Black Black Pink Pink\nBlack 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 Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Black Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black\nPink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black\n\nOutput:\nBlack Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Black Black Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black Pink Pink\nBlack 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 Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Black Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black\nPink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Green Green Green Green Green Green Black Black\nYellow Yellow Yellow Yellow Black Black Green Green Green Green Green Green Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Green Green Green Green Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Green Green Green Green Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Green Green Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Green Green Black Black\n\nOutput:\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown 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 Brown Brown Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBrown Brown Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black\nBrown Brown Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black\nBlack Black Black Black Green Green Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Green Green Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\n\nOutput:\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown 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 Brown Brown Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBrown Brown Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black\nBrown Brown Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black\nBlack Black Black Black Yellow Yellow Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Yellow Yellow Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nPink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink\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\nPink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Green Green Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Green Green Pink Pink\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black 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```\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nPink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink\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\nPink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Yellow Yellow Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Yellow Yellow Pink Pink\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black 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 Gray Yellow Pink Orange Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Orange Orange Orange\nBlack Black Black Blue Blue Black Black Orange Orange Orange\nBlack Black Blue Blue Blue Blue Black Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Orange Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Yellow Brown Gray Orange Black Red Red Red Black\nPurple Purple Purple Black Black Black Red Red Red Black\nPurple Purple Purple Black Black Black Red Red Red Black\nPurple Purple Purple Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Yellow Yellow Black Black Green Green Green Green Black\nBlack Yellow Yellow Black Black Black Green Green Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Yellow Pink Green Brown Purple Purple Purple Purple Black\nBlack Black Gray Gray Black Purple Purple Purple Purple Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Red Red Black\nBlack Black Gray Gray Black Black Black Black Red Black\nBlack Black Black Black Black Black Red Red Red Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Black Black Purple Purple Purple Purple Black Black\nBlue Blue Blue Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Orange Pink Red Blue Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black 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 Yellow Yellow Black\nBlack Black Black Black Orange Black Black Yellow Black Black\nBlack Black Black Orange Orange Black Black Yellow Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Orange Orange\nBrown Green Orange Gray\nBrown Green Yellow Red\nYellow Yellow Yellow Yellow\n\nOutput:\nOrange Gray Red Yellow Purple Purple Orange Orange\nOrange Orange Yellow Yellow Brown Green Orange Gray\nPurple Green Green Yellow Brown Green Yellow Red\nPurple Brown Brown Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nYellow Gray Brown Brown Red\nYellow Gray Brown Orange Gray\nGreen Green Green Yellow Gray\nYellow Pink Blue Brown Purple\nPink Pink Blue Purple Orange\n\nOutput:\nRed Gray Gray Purple Orange Yellow Gray Brown Brown Red\nBrown Orange Yellow Brown Purple Yellow Gray Brown Orange Gray\nBrown Brown Green Blue Blue Green Green Green Yellow Gray\nGray Gray Green Pink Pink Yellow Pink Blue Brown Purple\nYellow Yellow Green Yellow Pink Pink Pink Blue Purple Orange\n\n\nExample 3\nInput:\nOrange Brown Purple Orange Orange\nPurple Brown Brown Orange Blue\nRed Red Red Gray Blue\nGray Blue Red Gray Gray\nPink Gray Yellow Brown Gray\n\nOutput:\nOrange Blue Blue Gray Gray Orange Brown Purple Orange Orange\nOrange Orange Gray Gray Brown Purple Brown Brown Orange Blue\nPurple Brown Red Red Yellow Red Red Red Gray Blue\nBrown Brown Red Blue Gray Gray Blue Red Gray Gray\nOrange Purple Red Gray Pink Pink Gray Yellow Brown Gray\n\n\nHere is the input grid for the test example:\nInput:\nPurple Blue Pink\nYellow Blue Blue\nRed Pink 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```\nPink Blue Blue Purple Blue Pink\nBlue Blue Pink Yellow Blue Blue\nPurple Yellow Red Red Pink 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 Yellow Black Yellow Black Black Black\nYellow Black Yellow Yellow Black Yellow Yellow Yellow\nBlack Black Black Black Yellow Black Yellow Black\nBlack Black Yellow Yellow Black Yellow Black Yellow\nBlack Black Black Black Black Black Yellow Yellow\nBlack Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Black Black\nBlack Yellow Yellow Black Black Black Yellow Black\n\nOutput:\nBlack Black Orange Orange Yellow Black Black Black\nYellow Black Orange Orange Black Yellow Yellow Yellow\nBlack Black Black Black Yellow Black Yellow Black\nBlack Black Yellow Yellow Black Yellow Black Yellow\nBlack Black Black Black Black Black Yellow Yellow\nBlack Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Black Black\nBlack Yellow Yellow Black Black Black Yellow Black\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Black Yellow Black\nBlack Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Black Black Black Black Yellow\nBlack Black Black Black Yellow Yellow Black\nBlack Black Yellow Black Black Yellow Black\nYellow Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Black Yellow Black\nBlack Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Black Black Black Black Yellow\nBlack Black Black Black Orange Orange Black\nBlack Black Yellow Black Orange Orange Black\nYellow Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Yellow Black Black\nBlack Black Yellow Black Yellow Black\nBlack Black Yellow Black Black Black\nBlack Yellow Black Black Yellow Yellow\nYellow Yellow Black Yellow Black Yellow\nBlack Black Black Black Black Yellow\nYellow Yellow Yellow Black Black Black\nYellow Yellow Black Black Yellow Yellow\n\nOutput:\nBlack Black Black Yellow Black Black\nBlack Black Yellow Black Yellow Black\nBlack Black Yellow Black Black Black\nOrange Orange Black Black Yellow Yellow\nOrange Orange Black Yellow Black Yellow\nBlack Black Black Black Black Yellow\nYellow Yellow Yellow Black Black Black\nYellow Yellow Black Black Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Yellow Yellow\nYellow Black Black Black Yellow\nYellow Yellow Black Yellow Black\nBlack Yellow Black Yellow Black\nBlack Yellow Yellow Yellow Black\nBlack Yellow Yellow Black Black\nYellow Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Orange Orange\nYellow Black Black Orange Orange\nYellow Yellow Black Yellow Black\nBlack Yellow Black Yellow Black\nBlack Yellow Yellow Yellow Black\nBlack Yellow Yellow Black Black\nYellow Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Green Green Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Green Green Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Green Green Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Green Green Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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 Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black 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 Gray Gray Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Black Black Pink Pink Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow 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 Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nYellow Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\n\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 Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray 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\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray 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:\nRed Red Orange Orange Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Orange Orange Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Green Green Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Green Green Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Green Green Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Green Green Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Green Green\nBrown Brown Brown Brown Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Orange Orange Orange Orange\n\nOutput:\nBlack Black Black Black Black Black Brown Brown Pink Pink Pink Pink Pink Pink Red Red\nBlack Black Black Black Black Black Brown Brown Pink Pink Pink Pink Pink Pink Red Red\nBlack Black Black Black Black Black Brown Brown Black Black Green Green Green Green Orange Orange\nBlack Black Black Black Black Black Brown Brown Black Black Green Green Green Green Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Green Green Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Green Green Gray Gray\nBlack Black Black Black Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nGray Gray Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nGray Gray Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nOrange Orange Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nOrange Orange Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nOrange Orange Pink Pink Pink Pink Green Green Black Black Black Black Black Black Black Black\nOrange Orange Pink Pink Pink Pink Green Green Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Red Red Red Red Red Red\nRed Red Black Black Red Red Black Black Red Red Black Black Red Red\nRed Red Black Black Red Red Black Black Red Red Black Black Red Red\nYellow Yellow Black Black Red Red Black Black Red Red Black Black Yellow Yellow\nYellow Yellow Black Black Red Red Black Black Red Red Black Black Yellow Yellow\nBrown Brown Gray Gray Red Red Black Black Red Red Gray Gray Brown Brown\nBrown Brown Gray Gray Red Red Black Black Red Red Gray Gray Brown Brown\nRed Red Gray Gray Blue Blue Black Black Blue Blue Gray Gray Red Red\nRed Red Gray Gray Blue Blue Black Black Blue Blue Gray Gray Red Red\nBlack Black Orange Orange Blue Blue Yellow Yellow Blue Blue Orange Orange Black Black\nBlack Black Orange Orange Blue Blue Yellow Yellow Blue Blue Orange Orange Black Black\nPurple Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple\nPurple Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Purple Yellow Yellow Black Black Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Purple Yellow Yellow Black Black Yellow Yellow Purple Purple Purple Purple\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Red Red Brown Brown Green Green Red Red Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Red Red Brown Brown Green Green Red Red Red Red\nPurple Purple Purple Purple Purple Purple Black Black Orange Orange Gray Gray Gray Gray Black Black Black Black Red Red\nPurple Purple Purple Purple Purple Purple Black Black Orange Orange Gray Gray Gray Gray Black Black Black Black Red Red\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\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\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\nPurple Purple Purple Purple Purple Purple Black Black Orange Orange Gray Gray Gray Gray Black Black Black Black Red Red\nPurple Purple Purple Purple Purple Purple Black Black Orange Orange Gray Gray Gray Gray Black Black Black Black Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Red Red Brown Brown Green Green Red Red Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Red Red Brown Brown Green Green Red Red Red Red\n\n\nExample 3\nInput:\nPurple Purple Gray Gray Gray Gray Blue Blue Blue Blue Orange Orange Orange Orange\nPurple Purple Gray Gray Gray Gray Blue Blue Blue Blue Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Brown Brown Pink Pink Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Brown Brown Pink Pink Orange Orange Orange Orange\nYellow Yellow Gray Gray Red Red Red Red Pink Pink Brown Brown Purple Purple\nYellow Yellow Gray Gray Red Red Red Red Pink Pink Brown Brown Purple Purple\nGray Gray Gray Gray Blue Blue Red Red Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Blue Blue Red Red Brown Brown Brown Brown Brown Brown\nBlack Black Pink Pink Gray Gray Red Red Purple Purple Purple Purple Orange Orange\nBlack Black Pink Pink Gray Gray Red Red Purple Purple Purple Purple Orange Orange\nGray Gray Gray Gray Blue Blue Red Red Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Blue Blue Red Red Brown Brown Brown Brown Brown Brown\nYellow Yellow Gray Gray Red Red Red Red Pink Pink Brown Brown Purple Purple\nYellow Yellow Gray Gray Red Red Red Red Pink Pink Brown Brown Purple Purple\nGray Gray Gray Gray Gray Gray Brown Brown Pink Pink Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Brown Brown Pink Pink Orange Orange Orange Orange\nPurple Purple Gray Gray Gray Gray Blue Blue Blue Blue Orange Orange Orange Orange\nPurple Purple Gray Gray Gray Gray Blue Blue Blue Blue Orange Orange Orange Orange\n\nOutput:\nPurple Purple Gray Gray Green Green Gray Gray Black Black Gray Gray Green Green Gray Gray Purple Purple\nPurple Purple Gray Gray Green Green Gray Gray Black Black Gray Gray Green Green Gray Gray Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Red Red Red Red Gray Gray Red Red Red Red Gray Gray Gray Gray\nGray Gray Gray Gray Red Red Red Red Gray Gray Red Red Red Red Gray Gray Gray Gray\nRed Red Brown Brown Red Red Red Red Red Red Red Red Red Red Brown Brown Red Red\nRed Red Brown Brown Red Red Red Red Red Red Red Red Red Red Brown Brown Red Red\nRed Red Pink Pink Pink Pink Brown Brown Purple Purple Brown Brown Pink Pink Pink Pink Red Red\nRed Red Pink Pink Pink Pink Brown Brown Purple Purple Brown Brown Pink Pink Pink Pink Red Red\nOrange Orange Orange Orange Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Purple Brown Brown Orange Orange Brown Brown Purple Purple Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Purple Brown Brown Orange Orange Brown Brown Purple Purple Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Pink Pink Red Red Red Red Orange Orange Red Red Red Red Pink Pink Brown Brown\nBrown Brown Pink Pink Red Red Red Red Orange Orange Red Red Red Red Pink Pink Brown Brown\nYellow Yellow Brown Brown Pink Pink Orange Orange Orange Orange Orange Orange Pink Pink Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Pink Pink Orange Orange Orange Orange Orange Orange Pink Pink Brown Brown Yellow Yellow\nYellow Yellow Purple Purple Orange Orange Pink Pink Red Red Pink Pink Orange Orange Purple Purple Yellow Yellow\nYellow Yellow Purple Purple Orange Orange Pink Pink Red Red Pink Pink Orange Orange Purple Purple Yellow Yellow\nYellow Yellow Blue Blue Green Green Green Green Pink Pink Green Green Green Green Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Green Green Green Green Pink Pink Green Green Green Green Blue Blue Yellow Yellow\nBlue Blue Black Black Orange Orange Pink Pink Purple Purple Pink Pink Orange Orange Black Black Blue Blue\nBlue Blue Black Black Orange Orange Pink Pink Purple Purple Pink Pink Orange Orange Black Black Blue Blue\nGreen Green Black Black Pink Pink Pink Pink Purple Purple Pink Pink Pink Pink Black Black Green Green\nGreen Green Black Black Pink Pink Pink Pink Purple Purple Pink Pink Pink Pink Black Black Green Green\nBlue Blue Gray Gray Pink Pink Green Green Green Green Green Green Pink Pink Gray Gray Blue Blue\nBlue Blue Gray Gray Pink Pink Green Green Green Green Green Green Pink Pink Gray Gray Blue Blue\nBlue Blue Purple Purple Purple Purple Green Green Blue Blue Green Green Purple Purple Purple Purple Blue Blue\nBlue Blue Purple Purple Purple Purple Green Green Blue Blue Green Green Purple Purple Purple Purple Blue Blue\nPurple Purple Purple Purple Red Red Yellow Yellow Black Black Yellow Yellow Red Red Purple Purple Purple Purple\nPurple Purple Purple Purple Red Red Yellow Yellow Black Black Yellow Yellow Red Red 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 Red Red Red Red Green Green Red Red Green Green Green Green Green Green Brown Brown\nPurple Purple Red Red Red Red Green Green Red Red Green Green Green Green Green Green Brown Brown\nPurple Purple Purple Purple Gray Gray Black Black Black Black Red Red Purple Purple Brown Brown Pink Pink\nPurple Purple Purple Purple Gray Gray Black Black Black Black Red Red Purple Purple Brown Brown Pink Pink\nRed Red Purple Purple Pink Pink Pink Pink Orange Orange Green Green Orange Orange Pink Pink Red Red\nRed Red Purple Purple Pink Pink Pink Pink Orange Orange Green Green Orange Orange Pink Pink Red Red\nGreen Green Green Green Green Green Pink Pink Pink Pink Green Green Pink Pink Orange Orange Red Red\nGreen Green Green Green Green Green Pink Pink Pink Pink Green Green Pink Pink Orange Orange Red Red\nBlack Black Red Red Green Green Purple Purple Purple Purple Pink Pink Red Red Orange Orange Orange Orange\nBlack Black Red Red Green Green Purple Purple Purple Purple Pink Pink Red Red Orange Orange Orange Orange\nGreen Green Green Green Green Green Pink Pink Pink Pink Green Green Pink Pink Orange Orange Red Red\nGreen Green Green Green Green Green Pink Pink Pink Pink Green Green Pink Pink Orange Orange Red Red\nRed Red Purple Purple Pink Pink Pink Pink Orange Orange Green Green Orange Orange Pink Pink Red Red\nRed Red Purple Purple Pink Pink Pink Pink Orange Orange Green Green Orange Orange Pink Pink Red Red\nPurple Purple Purple Purple Gray Gray Black Black Black Black Red Red Purple Purple Brown Brown Pink Pink\nPurple Purple Purple Purple Gray Gray Black Black Black Black Red Red Purple Purple Brown Brown Pink Pink\nPurple Purple Red Red Red Red Green Green Red Red Green Green Green Green Green Green Brown Brown\nPurple Purple Red Red Red Red Green Green Red Red Green Green Green Green Green Green Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange 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 Gray Yellow Yellow Yellow Yellow Yellow Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red 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 Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Yellow Yellow Gray Red 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 Pink Purple 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\nOutput:\nYellow Orange Yellow 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\nPurple Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Red 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 Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Red Gray Yellow Yellow Brown 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 Purple Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Yellow Green Yellow Green\nGreen Green Green Green Green Green Green Green Green Green Green Orange\nGreen Green Green Green Green Green Gray Pink Green Green Green Green\nGreen Green Green Green Green Green Green Brown Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Orange 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 Gray Green Green Green Green Green\nGreen Green Green Green Green Green Green Yellow Green Green Green Green\nGreen Green Green Green Green Green Green Gray Purple Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Yellow Green Yellow Green Green Green Green Green Green Green Green\nOrange Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Pink Gray Green Green Green Green Green Green\nGreen Green Green Green Brown Green Green Green Green Green Green Green\nGreen Orange 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 Gray Green Green Green Green Green Green\nGreen Green Green Green Yellow Green Green Green Green Green Green Green\nGreen Green Green Purple Gray Green Green Green Green Green Green Green\n\n\nExample 3\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 Green Green Red Green Green Green Red\nGreen Green Green Green Green Green Green Green Green Pink Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Red Yellow Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Orange Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Orange Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Brown\nGreen Green Green Green Green Green Green Pink Green 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 Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nRed Green Green Green Red Green Green Green Green Green Green Green Green\nGreen Green Green Pink 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 Yellow Red Green Green Green Green Green Green Green\nGreen Orange 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 Orange Green Green Green Green Green Green Green Green Green Green\nBrown Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Pink Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Red Gray Gray Red\nGray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Gray Gray Gray Yellow\nGray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Green Gray Gray Red 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```\nRed Gray Gray Red Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Red Gray Gray Gray Gray Gray Gray\nGreen Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nRed Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Red Gray Gray Green Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Purple Purple Black Black\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 Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black 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\nBlack Black Black Black 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\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red 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\nBlack Red Red Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue 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 Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green 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 Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black 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 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 Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green 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\nPink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Red Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Red Red Red Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Red Red Red Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Green Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Green Green Green Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Green Green Green Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Red Red Red Red Red 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 Green Green Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black\nBlack Black Black Black 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 Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Orange 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:\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Pink Black Black Black 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 Black Green Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Green Black\nBlack Black Black Purple Purple Purple Purple Purple Pink Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\n\nOutput:\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Green Black Blue\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Green Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Purple Purple Purple Black\nBlack Black Green Black Black Black Purple Purple Purple Black\nOrange Black Black Orange Black Black Purple Purple Purple Black\nBlack Pink Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Red Black Black\nPink Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Red Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Green Black Black Yellow Yellow Yellow Yellow Yellow\nOrange Black Black Orange Black Yellow Yellow Yellow Yellow Yellow\nBlack Pink Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Red Black Black\nPink Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Purple Purple Black\nBlack Orange Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Purple Purple Green\nBlack Black Pink Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nPink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Orange Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Pink Black Yellow Yellow Yellow Yellow Yellow Yellow\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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\nGreen Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Pink Green\nBlack Black Black Blue Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Purple Purple Black\nPink Red Black Black Black Black Red Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Yellow Yellow Yellow Yellow\nBlack Black Black Blue Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nPink Red Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Black Black Green Green Green Green\nGreen Green Green Green Black Black Green Green Green Green\nGreen Green Green Green Black Black Green Green Green Green\nGreen Green Green Green Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGray Gray Black Black Black Black Black Black Black Black\nGray Gray Black Gray Gray Gray Black Black Black Black\nGray Gray Black Gray Gray Gray Black Black Black Black\nGray Gray Black Gray Gray Gray Black Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Gray Black Gray Black Black Gray Gray Black\nBlack Black Gray Gray Gray Black Black Gray Gray Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Green Green Green Black Black Black Black\nGreen Green Black Green Green Green Black Black Black Black\nGreen Green Black Green Green Green Black Green Green Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Green Black Green Black Black Green Green Black\nBlack Black Green Green Green Black Black Green Green Black\nBlack Black Green Green Green Black Black Black Black Black\nBlack Black Green Green Green 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 Gray Gray\nBlack Black Black Gray Gray Gray Black Black Gray Gray\nBlack Black Black Gray Gray Gray Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Black Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Black Gray Gray Gray Gray\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 Red Red\nBlack Black Black Red Red Red Black Black Red Red\nBlack Black Black Red Red Red Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green\nBlack Green Green Green Green Black Green Green Green Green\nBlack Green Green Green Green Black Green Green Green Green\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 Gray Gray Gray\nBlack Gray Black Black Black Black Black Gray Gray Gray\nBlack Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Red Red Red\nBlack Blue Black Black Black Black Black Red Red Red\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Black Black Purple Purple\nBlue Blue Black Black Black Black Purple Purple\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\nBrown Brown Black Black Black Black Yellow Yellow\nBrown Brown Black Black Black Black Yellow Yellow\n\nOutput:\nBlue Blue Brown Brown Brown Brown Brown Brown\nBlue Blue Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown\nBrown Brown Black Black Brown Brown Yellow Yellow\nBrown Brown Black Black Brown Brown Yellow Yellow\n\n\nExample 2\nInput:\nPurple Purple Black Black Black Black Pink Pink\nPurple Purple Black Black Black Black Pink Pink\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\nGreen Green Black Black Black Black Orange Orange\nGreen Green Black Black Black Black Orange Orange\n\nOutput:\nPurple Purple Green Green Green Green Green Green\nPurple Purple Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nBlack Black Green Green Green Green Green Green\nBlack Black Green Green Green Green Green Green\nGreen Green Black Black Green Green Orange Orange\nGreen Green Black Black Green Green Orange Orange\n\n\nExample 3\nInput:\nGreen Green Black Black Black Black Blue Blue\nGreen Green Black Black Black Black Blue Blue\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\nGray Gray Black Black Black Black Pink Pink\nGray Gray Black Black Black Black Pink Pink\n\nOutput:\nGreen Green Gray Gray Gray Gray Gray Gray\nGreen Green Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Gray Gray Pink Pink\nGray Gray Black Black Gray Gray Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Black Black Black Black Purple Purple\nGray Gray Black Black Black Black Purple Purple\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\nRed Red Black Black Black Black Brown Brown\nRed Red Black Black Black Black Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Red Red Red Red Red Red\nGray Gray Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red\nRed Red Black Black Red Red Brown Brown\nRed Red Black Black Red Red 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Green Purple Purple Green Yellow\nBlack Black Black Black Red Green Blue Blue Green Red\nBlack Black Black Black Gray Red Black Black Red Gray\nBlack Black Black Black Gray Red Black Black Red Gray\nBlack Black Black Black Orange Orange Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Red Gray Gray Orange Black Black Black\nBlack Black Green Green Red Red Orange Black Black Black\nBlack Black Purple Blue Black Black Black Black Black Black\nBlack Black Purple Blue Black Black Black Black Black Black\nBlack Black Green Green Red Red Orange Black Black Black\nBlack Black Yellow Red Gray Gray Orange 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 Green Black Black Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black\nBlack Green Red Red Green Black Black Black Black Black\nBlack Gray Red Red Gray Black Black Black Black Black\nBlack Gray Yellow Yellow Gray Black Black Black Black Black\nBlack Black Purple Purple 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 Green Green Green Gray Gray Black Black\nBlack Black Black Black Green Red Red Yellow Purple Black\nBlack Black Black Black Green Red Red Yellow Purple Black\nBlack Black Black Green Green Green Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Pink Orange Orange Pink Red Black\nBlack Black Black Red Orange Red Red Orange Red Black\nBlack Black Black Pink Gray Blue Blue Gray Pink Black\nBlack Black Black Pink Gray Purple Purple Gray Pink Black\nBlack Black Black Green Green Black Black Green Green Black\nBlack Black Black Black Green Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Red Pink Pink Green Black Black Black Black\nBlack Pink Orange Gray Gray Green Green Black Black Black\nBlack Orange Red Blue Purple Black Black Black Black Black\nBlack Orange Red Blue Purple Black Black Black Black Black\nBlack Pink Orange Gray Gray Green Green Black Black Black\nBlack Red Red Pink Pink Green 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\nPurple Black Black Purple Black Black Black Black Black Black\nPurple Gray Gray Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black\nBlue Purple Purple Blue Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Purple Purple Purple Blue\nBlack Black Black Black Black Black Black Gray Purple Purple\nBlack Black Black Black Black Black Black Gray Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Purple Orange Pink Yellow Pink Brown Purple Gray Pink Black Black Black Black Black Black Black Black Black Black\nOrange Brown Green Green Orange Orange Brown Orange Gray Orange Black Black Black Black Black Black Black Black Black Black\nBlue Pink Gray Purple Orange Yellow Purple Red Orange Orange Black Black Black Black Black Black Black Black Black Black\nGreen Orange Blue Purple Green Green Green Purple Yellow Gray Black Black Black Black Black Black Black Black Black Black\nBrown Purple Brown Orange Yellow Yellow Green Orange Purple Gray Black Black Black Black Black Black Black Black Black Black\nPink Pink Purple Gray Brown Blue Purple Purple Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nGray Yellow Pink Blue Green Purple Brown Purple Blue Yellow Black Black Black Black Black Black Black Black Black Black\nRed Gray Pink Orange Red Brown Red Brown Red Purple Black Black Black Black Black Black Black Black Black Black\nPurple Orange Pink Red Orange Brown Blue Brown Gray Pink Black Black Black Black Black Black Black Black Black Black\nBlue Blue Yellow Purple Blue Blue Orange Purple Red Purple Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Purple Orange Pink Yellow Pink Brown Purple Gray Pink Pink Gray Purple Brown Pink Yellow Pink Orange Purple Yellow\nOrange Brown Green Green Orange Orange Brown Orange Gray Orange Orange Gray Orange Brown Orange Orange Green Green Brown Orange\nBlue Pink Gray Purple Orange Yellow Purple Red Orange Orange Orange Orange Red Purple Yellow Orange Purple Gray Pink Blue\nGreen Orange Blue Purple Green Green Green Purple Yellow Gray Gray Yellow Purple Green Green Green Purple Blue Orange Green\nBrown Purple Brown Orange Yellow Yellow Green Orange Purple Gray Gray Purple Orange Green Yellow Yellow Orange Brown Purple Brown\nPink Pink Purple Gray Brown Blue Purple Purple Yellow Yellow Yellow Yellow Purple Purple Blue Brown Gray Purple Pink Pink\nGray Yellow Pink Blue Green Purple Brown Purple Blue Yellow Yellow Blue Purple Brown Purple Green Blue Pink Yellow Gray\nRed Gray Pink Orange Red Brown Red Brown Red Purple Purple Red Brown Red Brown Red Orange Pink Gray Red\nPurple Orange Pink Red Orange Brown Blue Brown Gray Pink Pink Gray Brown Blue Brown Orange Red Pink Orange Purple\nBlue Blue Yellow Purple Blue Blue Orange Purple Red Purple Purple Red Purple Orange Blue Blue Purple Yellow Blue Blue\n\n\nExample 2\nInput:\nGreen Pink Orange Yellow Blue Red Green Pink Blue Gray Black Black Black Black Black Black Black Black Black Black\nRed Orange Brown Blue Purple Brown Gray Brown Brown Purple Black Black Black Black Black Black Black Black Black Black\nPurple Brown Pink Orange Blue Orange Brown Pink Green Green Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Orange Yellow Blue Purple Purple Pink Orange Blue Black Black Black Black Black Black Black Black Black Black\nGreen Red Pink Blue Purple Red Purple Gray Pink Gray Black Black Black Black Black Black Black Black Black Black\nYellow Purple Pink Orange Red Pink Orange Yellow Brown Gray Black Black Black Black Black Black Black Black Black Black\nGray Orange Pink Orange Orange Brown Brown Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nRed Yellow Gray Orange Gray Purple Purple Orange Green Red Black Black Black Black Black Black Black Black Black Black\nRed Brown Green Blue Pink Yellow Pink Red Purple Purple Black Black Black Black Black Black Black Black Black Black\nGray Blue Blue Blue Purple Brown Green Green Red Pink Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Pink Orange Yellow Blue Red Green Pink Blue Gray Gray Blue Pink Green Red Blue Yellow Orange Pink Green\nRed Orange Brown Blue Purple Brown Gray Brown Brown Purple Purple Brown Brown Gray Brown Purple Blue Brown Orange Red\nPurple Brown Pink Orange Blue Orange Brown Pink Green Green Green Green Pink Brown Orange Blue Orange Pink Brown Purple\nYellow Yellow Orange Yellow Blue Purple Purple Pink Orange Blue Blue Orange Pink Purple Purple Blue Yellow Orange Yellow Yellow\nGreen Red Pink Blue Purple Red Purple Gray Pink Gray Gray Pink Gray Purple Red Purple Blue Pink Red Green\nYellow Purple Pink Orange Red Pink Orange Yellow Brown Gray Gray Brown Yellow Orange Pink Red Orange Pink Purple Yellow\nGray Orange Pink Orange Orange Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Orange Orange Pink Orange Gray\nRed Yellow Gray Orange Gray Purple Purple Orange Green Red Red Green Orange Purple Purple Gray Orange Gray Yellow Red\nRed Brown Green Blue Pink Yellow Pink Red Purple Purple Purple Purple Red Pink Yellow Pink Blue Green Brown Red\nGray Blue Blue Blue Purple Brown Green Green Red Pink Pink Red Green Green Brown Purple Blue Blue Blue Gray\n\n\nExample 3\nInput:\nGreen Orange Gray Brown Yellow Yellow Red Green Blue Orange Black Black Black Black Black Black Black Black Black Black\nPurple Pink Orange Gray Pink Blue Purple Yellow Orange Green Black Black Black Black Black Black Black Black Black Black\nPurple Blue Blue Brown Green Orange Gray Red Yellow Pink Black Black Black Black Black Black Black Black Black Black\nPurple Orange Gray Pink Purple Brown Yellow Brown Pink Blue Black Black Black Black Black Black Black Black Black Black\nGray Green Gray Blue Blue Purple Orange Purple Red Brown Black Black Black Black Black Black Black Black Black Black\nGreen Blue Green Yellow Green Blue Yellow Yellow Blue Orange Black Black Black Black Black Black Black Black Black Black\nYellow Brown Brown Pink Purple Blue Orange Green Gray Blue Black Black Black Black Black Black Black Black Black Black\nGreen Blue Gray Pink Brown Yellow Pink Pink Purple Pink Black Black Black Black Black Black Black Black Black Black\nGreen Red Green Blue Green Purple Purple Red Blue Pink Black Black Black Black Black Black Black Black Black Black\nPurple Pink Yellow Brown Yellow Green Blue Green Yellow Yellow Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Orange Gray Brown Yellow Yellow Red Green Blue Orange Orange Blue Green Red Yellow Yellow Brown Gray Orange Green\nPurple Pink Orange Gray Pink Blue Purple Yellow Orange Green Green Orange Yellow Purple Blue Pink Gray Orange Pink Purple\nPurple Blue Blue Brown Green Orange Gray Red Yellow Pink Pink Yellow Red Gray Orange Green Brown Blue Blue Purple\nPurple Orange Gray Pink Purple Brown Yellow Brown Pink Blue Blue Pink Brown Yellow Brown Purple Pink Gray Orange Purple\nGray Green Gray Blue Blue Purple Orange Purple Red Brown Brown Red Purple Orange Purple Blue Blue Gray Green Gray\nGreen Blue Green Yellow Green Blue Yellow Yellow Blue Orange Orange Blue Yellow Yellow Blue Green Yellow Green Blue Green\nYellow Brown Brown Pink Purple Blue Orange Green Gray Blue Blue Gray Green Orange Blue Purple Pink Brown Brown Yellow\nGreen Blue Gray Pink Brown Yellow Pink Pink Purple Pink Pink Purple Pink Pink Yellow Brown Pink Gray Blue Green\nGreen Red Green Blue Green Purple Purple Red Blue Pink Pink Blue Red Purple Purple Green Blue Green Red Green\nPurple Pink Yellow Brown Yellow Green Blue Green Yellow Yellow Yellow Yellow Green Blue Green Yellow Brown Yellow Pink Purple\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Pink Gray Green Pink Brown Gray Brown Blue Black Black Black Black Black Black Black Black Black Black\nPink Gray Pink Gray Pink Brown Brown Orange Pink Pink Black Black Black Black Black Black Black Black Black Black\nPink Purple Brown Yellow Blue Orange Orange Pink Gray Blue Black Black Black Black Black Black Black Black Black Black\nRed Pink Brown Red Purple Orange Blue Orange Yellow Purple Black Black Black Black Black Black Black Black Black Black\nGreen Gray Orange Red Pink Green Green Brown Orange Purple Black Black Black Black Black Black Black Black Black Black\nPurple Yellow Blue Green Red Purple Purple Brown Orange Brown Black Black Black Black Black Black Black Black Black Black\nYellow Blue Pink Blue Yellow Gray Gray Red Purple Blue Black Black Black Black Black Black Black Black Black Black\nRed Yellow Orange Blue Gray Purple Orange Green Purple Green Black Black Black Black Black Black Black Black Black Black\nPink Red Yellow Gray Brown Gray Orange Green Orange Red Black Black Black Black Black Black Black Black Black Black\nBrown Yellow Blue Yellow Orange Brown Yellow Gray Gray Pink Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Pink Gray Green Pink Brown Gray Brown Blue Blue Brown Gray Brown Pink Green Gray Pink Gray Gray\nPink Gray Pink Gray Pink Brown Brown Orange Pink Pink Pink Pink Orange Brown Brown Pink Gray Pink Gray Pink\nPink Purple Brown Yellow Blue Orange Orange Pink Gray Blue Blue Gray Pink Orange Orange Blue Yellow Brown Purple Pink\nRed Pink Brown Red Purple Orange Blue Orange Yellow Purple Purple Yellow Orange Blue Orange Purple Red Brown Pink Red\nGreen Gray Orange Red Pink Green Green Brown Orange Purple Purple Orange Brown Green Green Pink Red Orange Gray Green\nPurple Yellow Blue Green Red Purple Purple Brown Orange Brown Brown Orange Brown Purple Purple Red Green Blue Yellow Purple\nYellow Blue Pink Blue Yellow Gray Gray Red Purple Blue Blue Purple Red Gray Gray Yellow Blue Pink Blue Yellow\nRed Yellow Orange Blue Gray Purple Orange Green Purple Green Green Purple Green Orange Purple Gray Blue Orange Yellow Red\nPink Red Yellow Gray Brown Gray Orange Green Orange Red Red Orange Green Orange Gray Brown Gray Yellow Red Pink\nBrown Yellow Blue Yellow Orange Brown Yellow Gray Gray Pink Pink Gray Gray Yellow Brown Orange Yellow Blue Yellow Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Purple Purple Purple Gray Gray Gray Brown Brown Brown Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Purple Purple Purple Gray Gray Gray Brown Brown Brown Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Purple Purple Purple Gray Gray Gray Brown Brown Brown Blue Blue Blue Black Black Black\nBlack Black Black Brown Brown Brown Purple Purple Purple Brown Brown Brown Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Orange Orange Orange Black Black Black\nBlack Black Black Brown Brown Brown Purple Purple Purple Brown Brown Brown Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Orange Orange Orange Black Black Black\nBlack Black Black Brown Brown Brown Purple Purple Purple Brown Brown Brown Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Orange Orange Orange Black Black Black\nBlack Black Black Blue Blue Blue Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBlack Black Black Blue Blue Blue Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBlack Black Black Blue Blue Blue Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Red Red Red Orange Orange Orange Orange Orange Orange Green Green Green Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Red Red Red Orange Orange Orange Orange Orange Orange Green Green Green Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Red Red Red Orange Orange Orange Orange Orange Orange Green Green Green Orange Orange Orange Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray Orange Orange Orange Blue Blue Blue Pink Pink Pink Gray Gray Gray Purple Purple Purple Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray Orange Orange Orange Blue Blue Blue Pink Pink Pink Gray Gray Gray Purple Purple Purple Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray Orange Orange Orange Blue Blue Blue Pink Pink Pink Gray Gray Gray Purple Purple Purple Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Orange Orange Orange Brown Brown Brown Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Orange Orange Orange Brown Brown Brown Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Orange Orange Orange Brown Brown Brown Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Yellow Yellow Yellow Purple Purple Purple Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Pink Pink Pink Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Pink Pink Pink Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Pink Pink Pink Orange Orange Orange Black Black Black\nBlack Black Black Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink Orange Orange Orange Red Red Red Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink Orange Orange Orange Red Red Red Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink Orange Orange Orange Red Red Red Pink Pink Pink Black Black Black\nBlack Black Black Green Green Green Red Red Red Pink Pink Pink Blue Blue Blue Purple Purple Purple Red Red Red Purple Purple Purple Gray Gray Gray Black Black Black\nBlack Black Black Green Green Green Red Red Red Pink Pink Pink Blue Blue Blue Purple Purple Purple Red Red Red Purple Purple Purple Gray Gray Gray Black Black Black\nBlack Black Black Green Green Green Red Red Red Pink Pink Pink Blue Blue Blue Purple Purple Purple Red Red Red Purple Purple Purple Gray Gray Gray Black Black Black\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple Pink Pink Pink Orange Orange Orange Blue Blue Blue Black Black Black\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple Pink Pink Pink Orange Orange Orange Blue Blue Blue Black Black Black\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple Pink Pink Pink Orange Orange Orange Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Orange Orange Orange Brown Brown Brown Pink Pink Pink Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Blue Blue Blue Orange Orange Orange Brown Brown Brown Pink Pink Pink Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Blue Blue Blue Orange Orange Orange Brown Brown Brown Pink Pink Pink Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Gray Gray Gray Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Pink Pink Pink Orange Orange Orange Black Black Black\nBlack Black Black Gray Gray Gray Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Pink Pink Pink Orange Orange Orange Black Black Black\nBlack Black Black Gray Gray Gray Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Pink Pink Pink Orange Orange Orange Black Black Black\nBlack Black Black Blue Blue Blue Gray Gray Gray Red Red Red Orange Orange Orange Brown Brown Brown Blue Blue Blue Purple Purple Purple Brown Brown Brown Black Black Black\nBlack Black Black Blue Blue Blue Gray Gray Gray Red Red Red Orange Orange Orange Brown Brown Brown Blue Blue Blue Purple Purple Purple Brown Brown Brown Black Black Black\nBlack Black Black Blue Blue Blue Gray Gray Gray Red Red Red Orange Orange Orange Brown Brown Brown Blue Blue Blue Purple Purple Purple Brown Brown Brown Black Black Black\nBlack Black Black Green Green Green Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Red Red Red Green Green Green Pink Pink Pink Black Black Black\nBlack Black Black Green Green Green Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Red Red Red Green Green Green Pink Pink Pink Black Black Black\nBlack Black Black Green Green Green Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Red Red Red Green Green Green Pink 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Pink Pink Pink Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Pink Pink Pink Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Pink Pink Pink Black Black Black\nBlack Black Black Red Red Red Brown Brown Brown Green Green Green Blue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Brown Brown Brown Green Green Green Blue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Brown Brown Brown Green Green Green Blue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Green Green Green Gray Gray Gray Blue Blue Blue Blue Blue Blue Purple Purple Purple Orange Orange Orange Purple Purple Purple Black Black Black\nBlack Black Black Gray Gray Gray Green Green Green Gray Gray Gray Blue Blue Blue Blue Blue Blue Purple Purple Purple Orange Orange Orange Purple Purple Purple Black Black Black\nBlack Black Black Gray Gray Gray Green Green Green Gray Gray Gray Blue Blue Blue Blue Blue Blue Purple Purple Purple Orange Orange Orange Purple Purple Purple Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Blue Blue Blue Black Black Black\nBlack Black Black Green Green Green Orange Orange Orange Gray Gray Gray Red Red Red Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Orange Orange Orange Black Black Black\nBlack Black Black Green Green Green Orange Orange Orange Gray Gray Gray Red Red Red Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Orange Orange Orange Black Black Black\nBlack Black Black Green Green Green Orange Orange Orange Gray Gray Gray Red Red Red Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Orange Orange Orange Black Black Black\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Green Green Green Purple Purple Purple Blue Blue Blue Blue Blue Blue Brown Brown Brown Black Black Black\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Green Green Green Purple Purple Purple Blue Blue Blue Blue Blue Blue Brown Brown Brown Black Black Black\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Orange Orange Orange Green Green Green Purple Purple Purple Blue Blue Blue Blue Blue Blue Brown Brown Brown Black Black Black\nBlack Black Black Blue Blue Blue Orange Orange Orange Purple Purple Purple Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Orange Orange Orange Purple Purple Purple Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Orange Orange Orange Purple Purple Purple Pink Pink Pink Orange Orange Orange Gray Gray Gray Pink Pink Pink Blue Blue Blue Black Black Black\nBlack Black Black Green Green Green Orange Orange Orange Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Green Green Green Black Black Black\nBlack Black Black Green Green Green Orange Orange Orange Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Green Green Green Black Black Black\nBlack Black Black Green Green Green Orange Orange Orange Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Purple Purple Brown Brown Brown Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Brown Brown Brown Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Brown Brown Brown Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Blue Blue Blue Black Black Black\nBlack Black Black Orange Orange Orange Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red Purple Purple Purple Black Black Black\nBlack Black Black Orange Orange Orange Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red Purple Purple Purple Black Black Black\nBlack Black Black Orange Orange Orange Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red Purple Purple Purple Black Black Black\nBlack Black Black Green Green Green Gray Gray Gray Orange Orange Orange Red Red Red Pink Pink Pink Green Green Green Green Green Green Brown Brown Brown Black Black Black\nBlack Black Black Green Green Green Gray Gray Gray Orange Orange Orange Red Red Red Pink Pink Pink Green Green Green Green Green Green Brown Brown Brown Black Black Black\nBlack Black Black Green Green Green Gray Gray Gray Orange Orange Orange Red Red Red Pink Pink Pink Green Green Green Green Green Green Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Red Red Red Purple Purple Purple Orange Orange Orange Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Black Black Black\nBlack Black Black Brown Brown Brown Red Red Red Purple Purple Purple Orange Orange Orange Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Black Black Black\nBlack Black Black Brown Brown Brown Red Red Red Purple Purple Purple Orange Orange Orange Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Black Black Black\nBlack Black Black Blue Blue Blue Orange Orange Orange Orange Orange Orange Pink Pink Pink Gray Gray Gray Blue Blue Blue Red Red Red Pink Pink Pink Black Black Black\nBlack Black Black Blue Blue Blue Orange Orange Orange Orange Orange Orange Pink Pink Pink Gray Gray Gray Blue Blue Blue Red Red Red Pink Pink Pink Black Black Black\nBlack Black Black Blue Blue Blue Orange Orange Orange Orange Orange Orange Pink Pink Pink Gray Gray Gray Blue Blue Blue Red Red Red Pink Pink Pink Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Black Black Black\nBlack Black Black Brown Brown Brown Blue Blue Blue Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Blue Blue Blue Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Blue Blue Blue Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Brown Brown Brown Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Green Green Green Pink Pink Pink Brown Brown Brown Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Green Green Green Pink Pink Pink Brown Brown Brown Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Green Green Green Pink Pink Pink Brown Brown Brown Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Blue\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\nBlack Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Pink Black Black Black\nBlack Pink 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:\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange 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 Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Purple 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 Black Black\nBlack Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Brown Brown Black Brown Brown Black Black Black\nBlack Black Black Black Black Brown Brown Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Purple Brown Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Brown Brown Black Black Black\nBlack Black Black Black Black Brown Brown Black Brown Brown 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\nBrown Brown Black Brown Brown Brown Brown Black Brown Brown Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Brown Purple Brown Black Black Brown Purple Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBrown Brown Black Brown Brown Brown Brown Black Brown Brown 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 Brown Brown Black Brown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown\nBrown Black Brown Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Brown Brown Brown Brown Brown Brown Purple Brown Black Brown Purple Brown\nBrown Brown Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Brown Brown Purple Brown Brown Black Black Brown Brown Purple Brown Brown\nBlack Brown Brown Purple Brown Brown Black Black Brown Brown Purple 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 Black Brown Brown\nBlack Brown Purple Brown Black Brown Brown Purple Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Brown Black\nBrown Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown Black Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Brown Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Green Red Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Green Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Brown Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green 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 Green Red Black Black Green Red Black Black Green Red Black Black Green Red Black\nBlack Red Red Green Red Red Red Green Red Red Red Green Red Red Red Green Red Black\nBlack Green Green Brown Green Green Green Brown Green Green Green Brown Green Green Green Brown Green Green\nBlack Black Red Green Red Red Red Green Red Red Red Green Red Red Red Green Red Red\nBlack Black Red Green Red Black Red Green Black Black Red Green Black Black Red Green Red Black\nBlack Red Red Green Red Black Black Black Black Black Black Black Black Red Red Green Red Black\nBlack Green Green Brown Green Green Black Black Black Black Black Black Black Green Green Brown Green Green\nBlack Black Red Green Red Red Black Black Black Black Black Black Black Black Red Green Red Red\nBlack Black Red Green Red Black Black Black Black Black Black Black Black Black Red Green Red Black\nBlack Red Red Green Red Black Black Black Black Black Black Black Black Red Red Green Red Black\nBlack Green Green Brown Green Green Black Black Black Black Black Black Black Green Green Brown Green Green\nBlack Black Red Green Red Red Black Black Black Black Black Black Black Black Red Green Red Red\nBlack Black Red Green Red Black Black Green Red Black Black Green Red Black Red Green Red Black\nBlack Red Red Green Red Red Red Green Red Red Red Green Red Red Red Green Red Black\nBlack Green Green Brown Green Green Green Brown Green Green Green Brown Green Green Green Brown Green Green\nBlack Black Red Green Red Red Red Green Red Red Red Green Red Red Red Green Red Red\nBlack Black Red Green Black Black Red Green Black Black Red Green Black Black Red Green 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\nBlack Black Black Black Black Black Blue Black Blue 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 Black Black\nBlack Black Black Blue Blue Black Black Black Blue Black Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Blue Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Blue Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Blue Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Black Blue Black Black Black\nBlack Black Blue 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 Blue Blue Black Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Black Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Black Blue Blue Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Green Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Red Red Red\nGreen Green Green Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Red Red Red\nGreen Green Green Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Red Red Red\nYellow Yellow Yellow Green Green Green Pink Pink Pink Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray\nYellow Yellow Yellow Green Green Green Pink Pink Pink Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray\nYellow Yellow Yellow Green Green Green Pink Pink Pink Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray\nRed Red Red Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow\nGray Gray Gray Red Red Red Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Gray Gray Gray\nGray Gray Gray Red Red Red Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Gray Gray Gray\nGray Gray Gray Red Red Red Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Gray Gray Gray\nYellow Yellow Yellow Green Green Green Red Red Red Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Green Green Green Red Red Red Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Green Green Green Red Red Red Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Red Red Red\nGreen Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Red Red Red\nGreen Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Red Red Red\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Pink Pink Pink\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Pink Pink Pink\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Pink Pink Pink\nPink Pink Pink Red Red Red Pink Pink Pink Red Red Red Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray\nPink Pink Pink Red Red Red Pink Pink Pink Red Red Red Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray\nPink Pink Pink Red Red Red Pink Pink Pink Red Red Red Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray\n\nOutput:\nPink Pink Pink Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Green Green Green Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBlue Blue Blue Pink Pink Pink Green Green Green Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBlue Blue Blue Pink Pink Pink Green Green Green Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nPink Pink Pink Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Gray Gray Gray Green Green Green Blue Blue Blue\nPink Pink Pink Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Gray Gray Gray Green Green Green Blue Blue Blue\nPink Pink Pink Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Gray Gray Gray Green Green Green Blue Blue Blue\nGray Gray Gray Pink Pink Pink Gray Gray Gray Green Green Green Blue Blue Blue Blue Blue Blue Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Green Green Green Blue Blue Blue Blue Blue Blue Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Green Green Green Blue Blue Blue Blue Blue Blue Pink Pink Pink Gray Gray Gray\nBlue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Green Green Green Gray Gray Gray Green Green Green Green Green Green\nBlue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Green Green Green Gray Gray Gray Green Green Green Green Green Green\nBlue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Green Green Green Gray Gray Gray Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Green Green Green\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Green Green Green\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Green Green Green\nGreen Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Blue Blue Blue Green Green Green Gray Gray Gray\nGreen Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Blue Blue Blue Green Green Green Gray Gray Gray\nGreen Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Blue Blue Blue Green Green Green Gray Gray Gray\n\n\nExample 2\nInput:\nPink Pink Pink Red Red Red Pink Pink Pink Blue Blue Blue Green Green Green Blue Blue Blue Yellow Yellow Yellow\nPink Pink Pink Red Red Red Pink Pink Pink Blue Blue Blue Green Green Green Blue Blue Blue Yellow Yellow Yellow\nPink Pink Pink Red Red Red Pink Pink Pink Blue Blue Blue Green Green Green Blue Blue Blue Yellow Yellow Yellow\nRed Red Red Pink Pink Pink Green Green Green Pink Pink Pink Gray Gray Gray Green Green Green Red Red Red\nRed Red Red Pink Pink Pink Green Green Green Pink Pink Pink Gray Gray Gray Green Green Green Red Red Red\nRed Red Red Pink Pink Pink Green Green Green Pink Pink Pink Gray Gray Gray Green Green Green Red Red Red\nYellow Yellow Yellow Green Green Green Red Red Red Pink Pink Pink Red Red Red Pink Pink Pink Red Red Red\nYellow Yellow Yellow Green Green Green Red Red Red Pink Pink Pink Red Red Red Pink Pink Pink Red Red Red\nYellow Yellow Yellow Green Green Green Red Red Red Pink Pink Pink Red Red Red Pink Pink Pink Red Red Red\nBlue Blue Blue Gray Gray Gray Pink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Red Red Red\nBlue Blue Blue Gray Gray Gray Pink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Red Red Red\nBlue Blue Blue Gray Gray Gray Pink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Red Red Red\nYellow Yellow Yellow Gray Gray Gray Red Red Red Gray Gray Gray Red Red Red Yellow Yellow Yellow Blue Blue Blue\nYellow Yellow Yellow Gray Gray Gray Red Red Red Gray Gray Gray Red Red Red Yellow Yellow Yellow Blue Blue Blue\nYellow Yellow Yellow Gray Gray Gray Red Red Red Gray Gray Gray Red Red Red Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Blue Blue Blue Blue Blue Blue\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red\n\nOutput:\nGreen Green Green Pink Pink Pink Green Green Green Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Blue Blue Blue\nGreen Green Green Pink Pink Pink Green Green Green Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Blue Blue Blue\nGreen Green Green Pink Pink Pink Green Green Green Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Blue Blue Blue\nPink Pink Pink Green Green Green Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink Pink Pink Pink\nPink Pink Pink Green Green Green Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink Pink Pink Pink\nPink Pink Pink Green Green Green Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink\nYellow Yellow Yellow Gray Gray Gray Green Green Green Pink Pink Pink Green Green Green Green Green Green Pink Pink Pink\nYellow Yellow Yellow Gray Gray Gray Green Green Green Pink Pink Pink Green Green Green Green Green Green Pink Pink Pink\nYellow Yellow Yellow Gray Gray Gray Green Green Green Pink Pink Pink Green Green Green Green Green Green Pink Pink Pink\nBlue Blue Blue Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Gray Gray Gray Blue Blue Blue Green Green Green Green Green Green Green Green Green Pink Pink Pink\nGreen Green Green Gray Gray Gray Blue Blue Blue Green Green Green Green Green Green Green Green Green Pink Pink Pink\nGreen Green Green Gray Gray Gray Blue Blue Blue Green Green Green Green Green Green Green Green Green Pink Pink Pink\n\n\nExample 3\nInput:\nRed Red Red Pink Pink Pink Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Pink Pink Pink\nRed Red Red Pink Pink Pink Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Pink Pink Pink\nRed Red Red Pink Pink Pink Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Pink Pink Pink\nBlue Blue Blue Red Red Red Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow Green Green Green Green Green Green\nBlue Blue Blue Red Red Red Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow Green Green Green Green Green Green\nBlue Blue Blue Red Red Red Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow Green Green Green Green Green Green\nRed Red Red Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue Red Red Red\nRed Red Red Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue Red Red Red\nRed Red Red Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue Red Red Red\nRed Red Red Yellow Yellow Yellow Red Red Red Blue Blue Blue Gray Gray Gray Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink\nRed Red Red Yellow Yellow Yellow Red Red Red Blue Blue Blue Gray Gray Gray Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink\nRed Red Red Yellow Yellow Yellow Red Red Red Blue Blue Blue Gray Gray Gray Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink\nYellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Green Green Green Red Red Red Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Green Green Green Red Red Red Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Green Green Green Red Red Red Pink Pink Pink Pink Pink Pink\nRed Red Red Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Red Red Red Pink Pink Pink Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink\nRed Red Red Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Red Red Red Pink Pink Pink Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink\nRed Red Red Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Red Red Red Pink Pink Pink Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink\n\nOutput:\nPink Pink Pink Green Green Green Green Green Green Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Green Green Green\nPink Pink Pink Green Green Green Green Green Green Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Green Green Green\nPink Pink Pink Green Green Green Green Green Green Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Green Green Green\nYellow Yellow Yellow Pink Pink Pink Gray Gray Gray Blue Blue Blue Gray Gray Gray Green Green Green Blue Blue Blue Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Pink Pink Pink Gray Gray Gray Blue Blue Blue Gray Gray Gray Green Green Green Blue Blue Blue Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Pink Pink Pink Gray Gray Gray Blue Blue Blue Gray Gray Gray Green Green Green Blue Blue Blue Pink Pink Pink Pink Pink Pink\nPink Pink Pink Blue Blue Blue Green Green Green Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Blue Blue Blue Green Green Green Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Blue Blue Blue Green Green Green Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Green Green Green Green Green Green Pink Pink Pink Green Green Green\nPink Pink Pink Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Green Green Green Green Green Green Pink Pink Pink Green Green Green\nPink Pink Pink Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Green Green Green Green Green Green Pink Pink Pink Green Green Green\nBlue Blue Blue Blue Blue Blue Green Green Green Pink Pink Pink Pink Pink Pink Gray Gray Gray Blue Blue Blue Gray Gray Gray Green Green Green\nBlue Blue Blue Blue Blue Blue Green Green Green Pink Pink Pink Pink Pink Pink Gray Gray Gray Blue Blue Blue Gray Gray Gray Green Green Green\nBlue Blue Blue Blue Blue Blue Green Green Green Pink Pink Pink Pink Pink Pink Gray Gray Gray Blue Blue Blue Gray Gray Gray Green Green Green\nBlue Blue Blue Green Green Green Blue Blue Blue Gray Gray Gray Green Green Green Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green\nBlue Blue Blue Green Green Green Blue Blue Blue Gray Gray Gray Green Green Green Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green\nBlue Blue Blue Green Green Green Blue Blue Blue Gray Gray Gray Green Green Green Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green\nPink Pink Pink Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Green Green Green Blue Blue Blue Yellow Yellow Yellow Green Green Green\nPink Pink Pink Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Green Green Green Blue Blue Blue Yellow Yellow Yellow Green Green Green\nPink Pink Pink Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Green Green Green Blue Blue Blue Yellow Yellow Yellow Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Red Red Red Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Red Red Red Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Red Red Red Pink Pink Pink\nPink Pink Pink Blue Blue Blue Red Red Red Red Red Red Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow\nPink Pink Pink Blue Blue Blue Red Red Red Red Red Red Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow\nPink Pink Pink Blue Blue Blue Red Red Red Red Red Red Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow\nRed Red Red Pink Pink Pink Red Red Red Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nRed Red Red Pink Pink Pink Red Red Red Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nRed Red Red Pink Pink Pink Red Red Red Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nBlue Blue Blue Pink Pink Pink Red Red Red Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Green Green Green Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Red Red Red Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Green Green Green Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Red Red Red Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Green Green Green Pink Pink Pink Pink Pink Pink\nRed Red Red Green Green Green Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Red Red Red Green Green Green\nRed Red Red Green Green Green Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Red Red Red Green Green Green\nRed Red Red Green Green Green Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Red Red Red Green Green Green\nGray Gray Gray Red Red Red Gray Gray Gray Pink Pink Pink Gray Gray Gray Blue Blue Blue Pink Pink Pink Gray Gray Gray Green Green Green\nGray Gray Gray Red Red Red Gray Gray Gray Pink Pink Pink Gray Gray Gray Blue Blue Blue Pink Pink Pink Gray Gray Gray Green Green Green\nGray Gray Gray Red Red Red Gray Gray Gray Pink Pink Pink Gray Gray Gray Blue Blue Blue Pink Pink Pink Gray Gray Gray Green Green Green\nYellow Yellow Yellow Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Red Red Red Blue Blue Blue Gray Gray Gray Pink Pink Pink\nYellow Yellow Yellow Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Red Red Red Blue Blue Blue Gray Gray Gray Pink Pink Pink\nYellow Yellow Yellow Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Red Red Red Blue Blue Blue Gray Gray Gray Pink Pink Pink\nRed Red Red Blue Blue Blue Green Green Green Pink Pink Pink Green Green Green Green Green Green Red Red Red Gray Gray Gray Red Red Red\nRed Red Red Blue Blue Blue Green Green Green Pink Pink Pink Green Green Green Green Green Green Red Red Red Gray Gray Gray Red Red Red\nRed Red Red Blue Blue Blue Green Green Green Pink Pink Pink Green Green Green Green Green Green Red Red Red Gray Gray Gray Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Red Red Red Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Red Red Red Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Red Red Red Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Green Green Green Pink Pink Pink Green Green Green Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Green Green Green\nBlue Blue Blue Blue Blue Blue Green Green Green Pink Pink Pink Green Green Green Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Green Green Green\nBlue Blue Blue Blue Blue Blue Green Green Green Pink Pink Pink Green Green Green Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Green Green Green\nGreen Green Green Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Blue Blue Blue Green Green Green Blue Blue Blue Green Green Green Blue Blue Blue\nGreen Green Green Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Blue Blue Blue Green Green Green Blue Blue Blue Green Green Green Blue Blue Blue\nGreen Green Green Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Blue Blue Blue Green Green Green Blue Blue Blue Green Green Green Blue Blue Blue\nPink Pink Pink Green Green Green Pink Pink Pink Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink\nPink Pink Pink Green Green Green Pink Pink Pink Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink\nPink Pink Pink Green Green Green Pink Pink Pink Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink\nYellow Yellow Yellow Green Green Green Pink Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Pink Pink Pink Green Green Green Green Green Green\nYellow Yellow Yellow Green Green Green Pink Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Pink Pink Pink Green Green Green Green Green Green\nYellow Yellow Yellow Green Green Green Pink Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Pink Pink Pink Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Green Green Green Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Green Green Green Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Green Green Green Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Pink Pink Pink Gray Gray Gray Green Green Green Gray Gray Gray Yellow Yellow Yellow Green Green Green Gray Gray Gray Pink Pink Pink\nGray Gray Gray Pink Pink Pink Gray Gray Gray Green Green Green Gray Gray Gray Yellow Yellow Yellow Green Green Green Gray Gray Gray Pink Pink Pink\nGray Gray Gray Pink Pink Pink Gray Gray Gray Green Green Green Gray Gray Gray Yellow Yellow Yellow Green Green Green Gray Gray Gray Pink Pink Pink\nBlue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Green Green Green\nBlue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Green Green Green\nBlue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Green Green Green\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Green Green Green Pink Pink Pink Blue Blue Blue Green Green Green Green Green Green Pink Pink Pink Green Green Green\nBlue Blue Blue Blue Blue Blue Green Green Green Pink Pink Pink Blue Blue Blue Green Green Green Green Green Green Pink Pink Pink Green Green Green\nBlue Blue Blue Blue Blue Blue Green Green Green Pink Pink Pink Blue Blue Blue Green Green Green Green Green Green Pink Pink Pink 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 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 Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nGray Gray Gray Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nGray Gray Gray Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nGray Gray Gray Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Blue Blue Blue Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Blue Blue Blue Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Blue Blue Blue Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Black Pink Pink Black Orange Black Black Black Black\nBlack Black Orange Pink Pink Pink Pink Orange Black Black Black Black\nBlack Black Orange Pink Pink Pink Pink Orange Black Black Black Black\nBlack Black Orange Black Pink Pink Black Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Black Black Black Black Orange Black Black Black Black\nBlack Black Orange Black Black Black Black Orange Black Black Black Black\nBlack Black Orange Black Black Black Black Orange Black Black Black Black\nBlack Black Orange Black Black Black Black Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Black Blue Blue Orange Black Black\nBlack Black Black Orange Blue Blue Blue Orange Black Black\nBlack Black Black Orange Blue Blue Blue Orange Black Black\nBlack Black Black Orange Black Blue Blue Orange Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Black Black Black Orange Black Black\nBlack Black Black Orange Black Black Black Orange Black Black\nBlack Black Black Orange Black Black Black Orange Black Black\nBlack Black Black Orange Black Black Black Orange Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Yellow Black Yellow Gray Black Black Black Black\nBlack Black Gray Yellow Black Yellow Gray Black Black Black Black\nBlack Black Gray Yellow Yellow Yellow Gray Black Black Black Black\nBlack Black Gray Yellow Yellow Yellow Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black\nBlack Pink Black Gray Gray Pink Black Black Black\nBlack Pink Gray Gray Gray Pink Black Black Black\nBlack Pink Black Gray Gray Pink Black Black Black\nBlack Pink Black Gray Black Pink Black Black Black\nBlack Pink Pink Pink Pink Pink 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 Pink Pink Pink Pink Pink Black Black Black\nBlack Pink Black Black Black Pink Black Black Black\nBlack Pink Black Black Black Pink Black Black Black\nBlack Pink Black Black Black Pink Black Black Black\nBlack Pink Black Black Black Pink Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack 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\nBlack Black Black Red Red Red Black Black Black Brown Brown Brown Black Black\nBlack Black Black Red Red Red Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Brown Brown Black Black Black\nBlack Black Black Red Red Red Black Black Black Brown Brown Black Black Black\nBlack Black Black Red Red Red Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Brown Brown 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\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\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 Orange Orange Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\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 Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green 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\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 Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Purple Black 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 Purple Purple Purple Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Brown Black Brown Brown Black\nBlack Black Black Brown Purple Purple Black Black\nBlack Black Black Black Purple Purple Brown Black\nBlack Black Black Brown Brown Black Brown Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBrown Black Brown Brown Brown Black Brown Brown\nBrown Purple Purple Black Brown Purple Purple Black\nBlack Purple Purple Brown Black Purple Purple Brown\nBrown Brown Black Brown Brown Brown Black Brown\nBrown Black Brown Brown Brown Black Brown Brown\nBrown Purple Purple Black Brown Purple Purple Black\nBlack Purple Purple Brown Black Purple Purple Brown\nBrown Brown Black Brown Brown Brown Black Brown\n\n\nExample 2\nInput:\nBlack Black Black Yellow Black Black Black Black\nBlack Yellow Blue Blue Black Black Black Black\nBlack Black Blue Blue Yellow Black Black Black\nBlack Black Yellow 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 Yellow Black Black Black Yellow Black\nYellow Blue Blue Black Yellow Blue Blue Black\nBlack Blue Blue Yellow Black Blue Blue Yellow\nBlack Yellow Black Black Black Yellow Black Black\nBlack Black Yellow Black Black Black Yellow Black\nYellow Blue Blue Black Yellow Blue Blue Black\nBlack Blue Blue Yellow Black Blue Blue Yellow\nBlack Yellow Black Black Black Yellow 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 Green Black Black Black Black Black\nGreen Green Green Black Black Black Black Black\nBlack Green Green Green Black Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Black Black Black Green Black\nGreen Green Green Black Green Green Green Black\nBlack Green Green Green Black Green Green Green\nBlack Green Black Black Black Green Black Black\nBlack Black Green Black Black Black Green Black\nGreen Green Green Black Green Green Green Black\nBlack Green Green Green Black Green Green Green\nBlack Green Black Black Black Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Blue\nBlack Black Black Black Black Yellow Yellow Blue\nBlack Black Black Black Blue Yellow Yellow Black\nBlack Black Black Black Blue Black Blue Blue\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Black Blue Blue Blue Black Blue\nBlack Yellow Yellow Blue Black Yellow Yellow Blue\nBlue Yellow Yellow Black Blue Yellow Yellow Black\nBlue Black Blue Blue Blue Black Blue Blue\nBlue Blue Black Blue Blue Blue Black Blue\nBlack Yellow Yellow Blue Black Yellow Yellow Blue\nBlue Yellow Yellow Black Blue Yellow Yellow Black\nBlue Black Blue Blue Blue Black Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Red Orange Black Black Black Black\nBlack Purple Purple Black Black Red Black Black Black Black Black\nBlack Purple Purple Black Black Red Green Green Black Black Black\nBlack Purple Purple Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Red Red Black Green Green Green Black\nBlack Black Black Black Red Red Black Green Green Green Black\nBlack Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Black Blue Blue Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Orange Orange Orange Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Purple Black Black\nGreen Green Green Black Red Red Black Black Black Black Black\nBlack Black Black Black Red Red 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:\nYellow Yellow Yellow Black\nYellow Yellow Yellow Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\n\nExample 2\nInput:\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Purple Purple Purple Black Yellow Yellow Yellow\nBlack Purple Black Black Black Black Black Purple Purple Black Red Black Purple Purple Purple Black Black Red Black\nBlack Purple Black Black Black Black Black Purple Purple Black Red Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green Red Red Red Black Red Red Black\nBlack Orange Black Black Black Black Black Black Orange Orange Black Green Red Red Red Black Red Red Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Black Black\nYellow Yellow Black Black\nYellow Yellow Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\n\nExample 3\nInput:\nBlue Blue Black Black Black Green Green Black Black Black\nBlue Blue Black Green Black Green Green Black Black Black\nBlack Black Black Black Black Green Green Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Yellow Yellow Black Black Green Green Purple Purple Black\nBlack Black Black Black Black Green Green Purple Purple Black\nBlack Blue Black Black Black Green Green Purple Purple Black\nBlack Black Black Red Black Black Orange Black Black Red\nBlack Black Black Black Black Black Orange Black Black Red\nBlack Black Black Black Black Black Orange Black Red Red\n\nOutput:\nBlue Blue Black Black\nBlue Blue Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Black Black Black Black Purple Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlue Blue Black Black Orange Black Black Black Green Black Red Red Red Black Black Black Blue Blue Blue\nBlack Black Black Black Orange Black Black Black Black Purple Purple Black Yellow Yellow Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Purple Black Purple Purple Black Yellow Yellow Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Purple Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Red Red Red Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Red Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Black Black\nBlue Blue Black Black\nBlue Blue Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black 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 Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green 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 Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Green Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Green Yellow\nBlack Black Black Black Black Black Black Black Black Black Green Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Green Black Yellow\nBlack Black Black Black Black Black Black Black Black Green Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Green Black Black Yellow\nBlack Black Black Black Black Black Black Black Green Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Green Black Black Black Yellow\nBlack Black Black Black Black Black Black Green Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Green Black Black Black Black Yellow\nBlack Black Black Black Black Black Green Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Green Black Black Black Black Black Yellow\nBlack Black Black Black Black Green Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Green Black Black Black Black Black Black Yellow\nBlack Black Black Black Green Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Green Black Black Black Black Black Black Black Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Green Yellow\nBlack Black Black Black Black Black Black Black Black Black Green Yellow\nBlack Black Black Black Black Black Black Black Black Green Black Yellow\nBlack Black Black Black Black Black Black Black Black Green Black Yellow\nBlack Black Black Black Black Black Black Black Green Black Black Yellow\nBlack Black Black Black Black Black Black Black Green Black Black Yellow\nBlack Black Black Black Black Black Black Green Black Black Black Yellow\nBlack Black Black Black Black Black Black Green Black Black Black Yellow\nBlack Black Black Black Black Black Green Black Black Black Black Yellow\nBlack Black Black Black Black Black Green Black Black Black Black Yellow\nBlack Black Black Black Black Green Black Black Black Black Black Yellow\nBlack Black Black Black Black Green Black Black Black Black Black Yellow\nBlack Black Black Black Green Black Black Black Black Black Black Yellow\nBlack Black Black Black Green Black Black Black Black Black Black Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Green Yellow\nBlack Black Black Black Black Black Black Black Black Black Green Yellow\nBlack Black Black Black Black Black Black Black Black Green Black Yellow\nBlack Black Black Black Black Black Black Black Black Green Black Yellow\nBlack Black Black Black Black Black Black Black Green Black Black Yellow\nBlack Black Black Black Black Black Black Black Green Black Black Yellow\nBlack Black Black Black Black Black Black Green Black Black Black Yellow\nBlack Black Black Black Black Black Black Green Black Black Black Yellow\nBlack Black Black Black Black Black Green Black Black Black Black Yellow\nBlack Black Black Black Black Black Green Black Black Black Black Yellow\nBlack Black Black Black Black Green Black Black Black Black Black Yellow\nBlack Black Black Black Black Green Black Black Black Black Black Yellow\nBlack Black Black Black Green Black Black Black Black Black Black Yellow\nBlack Black Black Black Green Black Black Black Black Black Black Yellow\nBlack Black Black Green Black Black Black Black Black Black Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green 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 Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Green Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Green Green Green\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Blue 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\nBlack Black Black Black Black Blue 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\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Yellow Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Blue Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Blue Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Blue Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Blue Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Blue Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Blue Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Yellow Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue 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\nBlack Black Black Black Black Blue 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\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Green Green Green Green Green 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\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Green Green Green Green Green Green\nBlack Black Black Black Black Blue Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Blue Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Blue Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Blue Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Blue Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Blue Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Green Green Green Green Green 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\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue 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\nBlack Black Black Black Black Blue 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\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Gray Gray Gray Gray Gray 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\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Blue Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Blue Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Blue Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Blue Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Blue Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Blue Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Gray Gray Gray Gray Gray 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\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue 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\nBlack Black Black Black Black Blue 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\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Purple Purple Purple Purple Purple 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\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Blue Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Blue Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Blue Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Blue Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Blue Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Blue Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Purple Purple Purple Purple Purple 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\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPink Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray 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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Yellow Blue Yellow Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Yellow Blue Blue Yellow Black\nBlack Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Black\nBlack Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Yellow Blue Yellow Yellow Blue Black Black\nBlack Yellow Blue Blue Blue Blue Yellow Blue Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Blue Yellow Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Yellow Blue Blue Blue Blue Black Black\nBlack Yellow Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue 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 Yellow Blue Blue Black\nBlack Black Yellow Blue Blue Black Blue Yellow Yellow Black\nBlack Black Yellow Blue 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 Blue Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Blue Blue Black\nBlack Black Blue Blue Blue Black Yellow Blue Blue Black\nBlack Black Blue Blue 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 Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Yellow Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Yellow Blue Blue Blue Blue Yellow Yellow Black\nBlack Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Yellow Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Yellow Yellow Black\nBlack Blue Blue Blue Blue Blue Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Yellow Blue Black\nBlack Yellow Blue Black Black Black Black Yellow Yellow Black\nBlack Blue Blue Black Black Black Black Yellow Yellow Black\nBlack Yellow Blue Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Yellow Blue Blue Blue Yellow Blue Black Black Black\nBlack Blue Blue Blue Yellow Yellow Yellow Blue Blue Black\nBlack Blue Blue Yellow Black Black Black Yellow Yellow 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 Yellow Yellow Black Black Black Black Yellow Yellow Black\nBlack Yellow Blue Black Black Black Black Yellow Yellow Black\nBlack Blue Blue Black Black Black Black Yellow Yellow Black\nBlack Yellow Blue Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Yellow Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Yellow Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Red Black Purple Purple Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Red Purple Purple 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Black Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple 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 Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple 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 Red Red Red Black\nBlack Black Black Purple Purple Black Black Red Red Red Black\nBlack Black Black Purple Purple Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Red Red 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 Red Red Red Black Black Black\nBlack Black Black Purple Purple Red Red Red Black Black Black\nBlack Black Black Purple Purple Black Red Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black 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\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 Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black 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\nBlack Black Black Black 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 Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack 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 Purple Black Black Black Black Black Black Black Black Black\nBlack 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 Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple 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 Black Orange 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:\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Green Green Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Black Black Green Green Black Black Black Black Black\nBlack Black Blue Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Green Black Black Black Black Black Black Green Green\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 Green Green Green Green Green Green Green Green Blue\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Blue Black Green Green Green Green Blue Black Green\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Green Blue Black Black Black Black Black Green Green\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 Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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 Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Blue Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Blue Black Black Black\nBlack Black Green Green Black Black Black Black Black Green Blue Black Black Black\nBlack Black Green Green Black Black Black Black Black Green Blue 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 Green Green Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Black Green Green Green Black Black Black\nBlack Black Black Green Green Black Green Green Black Black Black Black\nBlack Black Black Green Black Black Black Green Black Black Black Black\nBlack Black Black Green Black Black Black Green Black Black Black Black\nBlack Black Black Green Green Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Green Green Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Black Black Black\nBlack Blue Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Black Green Green Green Black Black Black\nBlack Black Black Green Green Black Green Green Black Black Black Black\nBlack Black Black Green Black Black Black Green Black Black Black Black\nBlack Black Black Green Black Black Black Green Black Black Black Black\nBlack Black Black Green Green Black 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink 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\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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\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 Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black\nBlack Black Blue Green Brown Black Red Blue Green Brown Black Black Blue Green Brown\nBlack Black Blue Green Brown Black Black Red Green Brown Black Black Blue Green Brown\nOrange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black\nOrange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black\nBlack Black Blue Green Brown Black Red Blue Green Brown Black Black Blue Green Brown\nBlack Black Blue Green Red Black Black Blue Green Brown Black Black Blue Green Brown\nOrange Orange Orange Orange Red Orange Orange Orange Orange Black Orange Orange Orange Orange Black\nOrange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black\nBlack Black Red Green Brown Black Black Blue Green Brown Black Black Blue Green Brown\nBlack Black Blue Green Brown Black Black Blue Green Brown Black Black Blue Green Brown\nOrange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black\n\nOutput:\nOrange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black\nBlack Black Blue Green Brown Black Black Blue Green Brown Black Black Blue Green Brown\nBlack Black Blue Green Brown Black Black Blue Green Brown Black Black Blue Green Brown\nOrange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black\nOrange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black\nBlack Black Blue Green Brown Black Black Blue Green Brown Black Black Blue Green Brown\nBlack Black Blue Green Brown Black Black Blue Green Brown Black Black Blue Green Brown\nOrange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black\nOrange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black\nBlack Black Blue Green Brown Black Black Blue Green Brown Black Black Blue Green Brown\nBlack Black Blue Green Brown Black Black Blue Green Brown Black Black Blue Green Brown\nOrange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black\n\n\nExample 2\nInput:\nPurple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown\nYellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown\nRed Gray Gray Black Red Gray Gray Black Red Gray Gray Black Red Gray Gray Black\nYellow Gray Brown Brown Red Gray Brown Brown Yellow Gray Brown Red Yellow Gray Brown Brown\nPurple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown\nPurple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown\nYellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown\nRed Gray Gray Black Red Gray Gray Black Red Gray Gray Black Red Gray Gray Black\nYellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown\nPurple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown Purple Brown Red Brown\nPurple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown\nYellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown\nRed Gray Gray Black Red Gray Gray Black Red Gray Gray Black Red Gray Gray Black\nYellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown\nPurple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown\nPurple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown\nYellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown\nRed Gray Gray Black Red Gray Gray Black Red Gray Red Black Red Gray Gray Black\nYellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown\nPurple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown\n\nOutput:\nPurple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown\nYellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown\nRed Gray Gray Black Red Gray Gray Black Red Gray Gray Black Red Gray Gray Black\nYellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown\nPurple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown\nPurple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown\nYellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown\nRed Gray Gray Black Red Gray Gray Black Red Gray Gray Black Red Gray Gray Black\nYellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown\nPurple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown\nPurple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown\nYellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown\nRed Gray Gray Black Red Gray Gray Black Red Gray Gray Black Red Gray Gray Black\nYellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown\nPurple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown\nPurple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown\nYellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown\nRed Gray Gray Black Red Gray Gray Black Red Gray Gray Black Red Gray Gray Black\nYellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown Yellow Gray Brown Brown\nPurple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown Purple Brown Black Brown\n\n\nExample 3\nInput:\nPink Orange Pink Pink Pink Pink Orange Red Pink Pink\nPurple Purple Black Brown Pink Purple Purple Black Brown Pink\nPurple Yellow Black Black Red Purple Yellow Black Black Black\nPurple Purple Black Brown Pink Purple Purple Black Brown Pink\nPink Orange Pink Pink Pink Pink Orange Pink Pink Pink\nPink Orange Pink Pink Pink Pink Orange Pink Pink Pink\nPurple Purple Black Brown Pink Purple Purple Black Red Pink\nPurple Yellow Black Black Black Purple Yellow Black Black Black\nPurple Purple Black Brown Pink Purple Purple Black Brown Pink\nPink Orange Pink Red Pink Pink Orange Pink Pink Pink\n\nOutput:\nPink Orange Pink Pink Pink Pink Orange Pink Pink Pink\nPurple Purple Black Brown Pink Purple Purple Black Brown Pink\nPurple Yellow Black Black Black Purple Yellow Black Black Black\nPurple Purple Black Brown Pink Purple Purple Black Brown Pink\nPink Orange Pink Pink Pink Pink Orange Pink Pink Pink\nPink Orange Pink Pink Pink Pink Orange Pink Pink Pink\nPurple Purple Black Brown Pink Purple Purple Black Brown Pink\nPurple Yellow Black Black Black Purple Yellow Black Black Black\nPurple Purple Black Brown Pink Purple Purple Black Brown Pink\nPink Orange Pink Pink Pink Pink Orange Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Red Blue Blue Blue Red\nBlue Black Black Blue Black Black Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Red Blue Blue Blue Blue\nBlue Black Black Blue Black Black Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Red Blue Blue Blue Blue Blue\nBlue Black Black Blue Black Black Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Blue Black Black Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Blue Black Black Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Blue Black Black Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Gray Gray Black Black Pink Pink Pink Pink Black Black Black Green Green Black\nBlack Black Gray Gray Black Pink Pink Pink Pink Black Black Black Green Green Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Orange Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Brown Brown\nBlack Black Blue Blue Black Black Black Black Black Orange Black Black Black Brown Brown\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink\nPink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Black Black\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Yellow Black Black Green Green Green Black Black Black Black Black\nOrange Orange Orange Orange Black Yellow Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Brown Brown Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black\nYellow Yellow Black Black Black\nYellow Black Black Black Black\nYellow 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 Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Yellow Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBrown Black Black Black Brown Black Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Orange Orange Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink\nPink Pink Pink\nBlack Pink Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Brown Green Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Gray Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Pink Blue Pink Purple Gray Black Black Black Black\nBlack Black Black Black Green Orange Purple Blue Blue Orange Yellow Gray Black Black Black Black\nBlack Black Black Black Black Brown Brown Blue Orange Orange Yellow Gray Black Black Black Black\nBlack Black Black Black Black Blue Red Black Green Orange Gray Gray Black Black Black Black\nBlack Black Black Red Red Blue Yellow Yellow Green Pink Pink Orange Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Green Green Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Black Black\nBlack Black Black\nBrown Black Yellow\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 Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Orange Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Yellow Purple Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Blue Yellow Purple Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Purple Yellow Red Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Brown Pink Orange Green Yellow Brown Black Black\nBlack Black Black Black Black Black Black Blue Blue Red Red Black Black Yellow Blue Black Black\nBlack Black Black Black Black Orange Purple Black Black Red Red Red Gray Pink Blue Black Black\nBlack Black Black Black Orange Orange Purple Black Black Red Red Pink Red Red Gray Black Black\nBlack Black Black Black Black Orange Black Green Purple Purple Purple Purple Yellow Pink Gray Black Black\nBlack Black Black Purple Blue Orange Red Green Blue Yellow Brown Red Red Pink Gray Black Black\nBlack Black Black Purple Purple Orange Purple Green Blue Gray Pink Pink Red Red Red Black Black\nBlack Black Black Black Black Purple Purple Blue Purple Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Purple Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black\nGray Black Black\nPink Purple Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Red Red Pink Red Black Black\nBlack Black Black Black Orange Orange Red Pink Pink Blue Black Black\nBlack Black Black Black Red Orange Orange Pink Black Black Black Black\nBlack Black Black Black Red Orange Pink Green Black Black Black Black\nBlack Black Black Black Red Red Black Green Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Pink Red Black Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Black Black Black\nBlack Black Black Black Black Black Pink Blue Purple Black Black Black\n\nOutput:\nBlack Black Black\nBlack Black Yellow\nPink Blue Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Brown Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Brown Black Black Black Black Black\nBlack Black Black Black Black Green Pink Pink 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 Blue Red Black Black Black Black Black Black Black Black Black Black\nBlack Green Red Black Black Black Black Black Black Black Black Black Black\nBlack Green Red Gray Gray Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Purple Gray Gray Yellow Black Black Black Black Black Black\nBlack Red Blue Blue Black Yellow Yellow Black Black Black Black Black Black\nBlack Red Red Blue Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Orange Brown\nBlack Black Black\nBlack Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Red Green Blue Blue Red Green Black Purple Green Blue Green\nYellow Red Red Green Blue Red Black Yellow Purple Purple Green Yellow\nYellow Yellow Blue Black Red Green Red Purple Black Black Purple Blue\nBlue Blue Green Purple Yellow Yellow Purple Blue Black Blue Purple Yellow\nBlack Purple Red Purple Red Purple Yellow Blue Blue Blue Blue Black\nRed Blue Green Green Purple Yellow Purple Black Red Green Black Green\nBlack Black Purple Red Black Purple Yellow Blue Purple Blue Red Blue\nBlack Blue Purple Green Black Red Blue Black Blue Green Yellow Black\n\nOutput:\nBlack Green Blue Yellow Yellow Green Blue Black Red Blue Yellow Blue\nPurple Green Green Blue Yellow Green Black Purple Red Red Blue Purple\nPurple Purple Yellow Black Green Blue Green Red Black Black Red Yellow\nYellow Yellow Blue Red Purple Purple Red Yellow Black Yellow Red Purple\nBlack Red Green Red Green Red Purple Yellow Yellow Yellow Yellow Black\nGreen Yellow Blue Blue Red Purple Red Black Green Blue Black Blue\nBlack Black Red Green Black Red Purple Yellow Red Yellow Green Yellow\nBlack Yellow Red Blue Black Green Yellow Black Yellow Blue Purple Black\n\n\nExample 2\nInput:\nYellow Purple Black Green Black Yellow Blue Black Green Yellow\nPurple Green Purple Yellow Black Black Purple Green Red Yellow\nBlack Green Blue Red Yellow Black Red Yellow Purple Yellow\nBlack Yellow Blue Blue Yellow Green Blue Blue Blue Black\nRed Red Black Red Yellow Yellow Red Purple Blue Red\nPurple Red Purple Red Green Black Red Green Purple Green\nPurple Red Black Blue Green Blue Yellow Red Yellow Blue\n\nOutput:\nPurple Red Black Blue Black Purple Yellow Black Blue Purple\nRed Blue Red Purple Black Black Red Blue Green Purple\nBlack Blue Yellow Green Purple Black Green Purple Red Purple\nBlack Purple Yellow Yellow Purple Blue Yellow Yellow Yellow Black\nGreen Green Black Green Purple Purple Green Red Yellow Green\nRed Green Red Green Blue Black Green Blue Red Blue\nRed Green Black Yellow Blue Yellow Purple Green Purple Yellow\n\n\nExample 3\nInput:\nRed Blue Yellow Black Blue Red Purple Purple Blue Blue Red\nGreen Black Purple Green Purple Red Yellow Red Green Purple Blue\nBlack Purple Red Black Blue Black Red Yellow Purple Red Green\nPurple Black Yellow Black Purple Black Green Green Yellow Black Black\nYellow Green Purple Yellow Blue Red Black Red Red Blue Purple\nBlue Blue Yellow Black Red Green Green Black Purple Black Red\nBlue Purple Green Black Green Black Blue Yellow Yellow Red Purple\n\nOutput:\nGreen Yellow Purple Black Yellow Green Red Red Yellow Yellow Green\nBlue Black Red Blue Red Green Purple Green Blue Red Yellow\nBlack Red Green Black Yellow Black Green Purple Red Green Blue\nRed Black Purple Black Red Black Blue Blue Purple Black Black\nPurple Blue Red Purple Yellow Green Black Green Green Yellow Red\nYellow Yellow Purple Black Green Blue Blue Black Red Black Green\nYellow Red Blue Black Blue Black Yellow Purple Purple Green Red\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Red Green Blue Green Purple Purple Yellow\nPurple Red Yellow Purple Black Red Yellow Black Black\nRed Red Green Green Yellow Green Blue Red Yellow\nBlue Red Blue Purple Blue Purple Black Green Purple\nBlue Yellow Red Green Red Green Green Black Black\nPurple Green Red Purple Yellow Green Black Red Yellow\nBlue Red Black Black Black Black Red Yellow Red\nBlack Purple Black Purple Black Red Red Blue Yellow\nPurple Red Black Blue Purple Green Purple Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Green Blue Yellow Blue Red Red Purple\nRed Green Purple Red Black Green Purple Black Black\nGreen Green Blue Blue Purple Blue Yellow Green Purple\nYellow Green Yellow Red Yellow Red Black Blue Red\nYellow Purple Green Blue Green Blue Blue Black Black\nRed Blue Green Red Purple Blue Black Green Purple\nYellow Green Black Black Black Black Green Purple Green\nBlack Red Black Red Black Green Green Yellow Purple\nRed Green Black Yellow Red Blue 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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red 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\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red 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 Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nGreen Green Black Black Black Black Black Black\nGreen Green Black Black Black Green Green Black\nBlack Black Black Black Black Green Green Black\nGreen Green Black Black Black Black Black Black\nGreen Green Black Green Green Black Black Black\nBlack Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Yellow Black Black\n\n\nExample 2\nInput:\nGreen Green Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black\nBlack Black Black Black Green Green Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Yellow Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Green Green Black Green Green Black Black\nBlack Green Green Black Green Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Yellow\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Green Green Black Black Black Black\nBlack Green Green Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Green Black Black Black\nBlack Black Green Green Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Yellow\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:\nYellow Yellow Green Black Black Blue Blue Black\nBlack Black Blue Yellow Blue Black Green Black\nBlack Red Black Yellow Black Black Black Black\nRed Black Red Red Black Black Yellow Black\nBlue Black Black Yellow Black Blue Green Black\nYellow Blue Red Blue Black Yellow Black Black\nRed Yellow Yellow Yellow Blue Black Red Black\nRed Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow\nBlack Green Blue Red Yellow Yellow Black Blue\nBlack Black Yellow Black Red Green Yellow Black\nRed Black Black Black Red Blue Black Green\nGreen Red Green Red Green Blue Black Black\nRed Black Yellow Blue Red Black Green Blue\nBlack Black Black Black Black Black Red Red\nBlack Black Blue Black Black Red Black Black\nBlack Red Black Black Green Black Black Blue\nBlack Yellow Black Green Red Blue Blue Blue\n\nOutput:\nRed Red Blue Black Black Green Green Black\nBlack Black Green Red Green Black Blue Black\nBlack Yellow Black Red Black Black Black Black\nYellow Black Yellow Yellow Black Black Red Black\nGreen Black Black Red Black Green Blue Black\nRed Green Yellow Green Black Red Black Black\nYellow Red Red Red Green Black Yellow Black\nYellow Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Red\nBlack Blue Green Yellow Red Red Black Green\nBlack Black Red Black Yellow Blue Red Black\nYellow Black Black Black Yellow Green Black Blue\nBlue Yellow Blue Yellow Blue Green Black Black\nYellow Black Red Green Yellow Black Blue Green\nBlack Black Black Black Black Black Yellow Yellow\nBlack Black Green Black Black Yellow Black Black\nBlack Yellow Black Black Blue Black Black Green\nBlack Red Black Blue Yellow Green Green Green\n\n\nExample 2\nInput:\nBlack Red Black Blue Black Black Black Yellow Black Green\nBlack Yellow Black Yellow Black Black Black Green Green Yellow\nBlue Green Green Blue Black Yellow Black Red Black Black\nYellow Black Blue Black Yellow Yellow Green Black Green Red\nGreen Blue Yellow Red Blue Black Green Black Red Yellow\nYellow Black Yellow Red Red Black Yellow Green Black Black\nBlack Yellow Yellow Green Black Yellow Black Black Black Black\n\nOutput:\nBlack Yellow Black Green Black Black Black Red Black Blue\nBlack Red Black Red Black Black Black Blue Blue Red\nGreen Blue Blue Green Black Red Black Yellow Black Black\nRed Black Green Black Red Red Blue Black Blue Yellow\nBlue Green Red Yellow Green Black Blue Black Yellow Red\nRed Black Red Yellow Yellow Black Red Blue Black Black\nBlack Red Red Blue Black Red Black Black Black Black\n\n\nExample 3\nInput:\nYellow Yellow Green Black Black Yellow Green Yellow Blue Yellow Green\nBlack Blue Green Black Black Black Green Blue Yellow Black Red\nYellow Black Red Red Black Blue Black Red Yellow Black Red\nBlack Black Green Black Black Green Black Black Red Black Black\nYellow Yellow Green Blue Black Red Yellow Yellow Black Yellow Black\nBlack Black Black Black Yellow Blue Black Black Black Black Black\nRed Black Black Green Black Black Yellow Yellow Black Black Black\n\nOutput:\nRed Red Blue Black Black Red Blue Red Green Red Blue\nBlack Green Blue Black Black Black Blue Green Red Black Yellow\nRed Black Yellow Yellow Black Green Black Yellow Red Black Yellow\nBlack Black Blue Black Black Blue Black Black Yellow Black Black\nRed Red Blue Green Black Yellow Red Red Black Red Black\nBlack Black Black Black Red Green Black Black Black Black Black\nYellow Black Black Blue Black Black Red Red Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Blue Green Black Yellow Red Black Black Black\nRed Red Black Black Red Yellow Black Blue Black\nBlack Red Black Yellow Black Green Yellow Blue Blue\nGreen Black Blue Yellow Green Blue Yellow Black Yellow\nBlack Black Black Black Black Black Black Red Black\nBlack Red Black Black Black Black Black Blue Green\nBlack Green Black Blue Black Black Black Black Blue\nGreen Red Black Blue Red Red Yellow Black Black\nBlack Black Yellow Black Black Blue Black 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```\nYellow Green Blue Black Red Yellow Black Black Black\nYellow Yellow Black Black Yellow Red Black Green Black\nBlack Yellow Black Red Black Blue Red Green Green\nBlue Black Green Red Blue Green Red Black Red\nBlack Black Black Black Black Black Black Yellow Black\nBlack Yellow Black Black Black Black Black Green Blue\nBlack Blue Black Green Black Black Black Black Green\nBlue Yellow Black Green Yellow Yellow Red Black Black\nBlack Black Red Black Black Green Black 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:\nGray Red Blue Brown Pink Red Orange Gray Purple Pink Green Purple Purple Brown Blue Orange Brown Gray\nYellow Pink Red Brown Orange Brown Blue Brown Purple Gray Blue Blue Orange Gray Orange Purple Orange Purple\nRed Brown Yellow Green Brown Blue Blue Blue Red Red Pink Brown Green Yellow Green Gray Orange Brown\nPurple Yellow Red Pink Green Green Purple Brown Brown Yellow Yellow Gray Yellow Purple Orange Pink Green Pink\nPurple Pink Orange Orange Orange Green Yellow Orange Red Blue Gray Purple Yellow Green Orange Blue Green Yellow\nGreen Orange Purple Red Purple Purple Blue Red Brown Purple Yellow Pink Orange Green Red Orange Brown Pink\nRed Gray Orange Yellow Red Red Blue Pink Red Brown Yellow Pink Brown Green Purple Gray Orange Orange\nBrown Red Purple Pink Blue Purple Pink Orange Orange Purple Purple Gray Purple Purple Yellow Orange Pink Purple\n\nOutput:\nYellow Green Red Gray Orange Green Purple Yellow Brown Orange Blue Brown Brown Gray Red Purple Gray Yellow\nPink Orange Green Gray Purple Gray Red Gray Brown Yellow Red Red Purple Yellow Purple Brown Purple Brown\nGreen Gray Pink Blue Gray Red Red Red Green Green Orange Gray Blue Pink Blue Yellow Purple Gray\nBrown Pink Green Orange Blue Blue Brown Gray Gray Pink Pink Yellow Pink Brown Purple Orange Blue Orange\nBrown Orange Purple Purple Purple Blue Pink Purple Green Red Yellow Brown Pink Blue Purple Red Blue Pink\nBlue Purple Brown Green Brown Brown Red Green Gray Brown Pink Orange Purple Blue Green Purple Gray Orange\nGreen Yellow Purple Pink Green Green Red Orange Green Gray Pink Orange Gray Blue Brown Yellow Purple Purple\nGray Green Brown Orange Red Brown Orange Purple Purple Brown Brown Yellow Brown Brown Pink Purple Orange Brown\n\n\nExample 2\nInput:\nYellow Orange Purple Red Yellow Brown Orange\nRed Gray Yellow Green Yellow Purple Red\nPurple Gray Gray Blue Green Purple Gray\nPurple Brown Pink Orange Green Brown Blue\nPurple Yellow Gray Pink Pink Brown Pink\nBrown Orange Purple Purple Brown Gray Green\nBrown Pink Red Purple Orange Brown Red\nOrange Red Purple Blue Blue Purple Blue\nOrange Orange Blue Yellow Orange Blue Yellow\nPink Pink Pink Orange Pink Brown Orange\n\nOutput:\nPink Purple Brown Green Pink Gray Purple\nGreen Yellow Pink Blue Pink Brown Green\nBrown Yellow Yellow Red Blue Brown Yellow\nBrown Gray Orange Purple Blue Gray Red\nBrown Pink Yellow Orange Orange Gray Orange\nGray Purple Brown Brown Gray Yellow Blue\nGray Orange Green Brown Purple Gray Green\nPurple Green Brown Red Red Brown Red\nPurple Purple Red Pink Purple Red Pink\nOrange Orange Orange Purple Orange Gray Purple\n\n\nExample 3\nInput:\nPurple Green Yellow Purple Purple Brown Orange\nPink Orange Blue Blue Pink Blue Pink\nPink Blue Green Blue Gray Blue Purple\nYellow Purple Yellow Gray Orange Purple Orange\nBrown Pink Green Green Purple Green Blue\nPink Brown Blue Gray Pink Orange Green\nGray Brown Green Blue Yellow Yellow Red\nBlue Yellow Brown Pink Red Purple Yellow\nGreen Orange Red Brown Gray Blue Yellow\nBlue Blue Purple Yellow Orange Pink Brown\nGray Yellow Orange Brown Green Gray Gray\n\nOutput:\nBrown Blue Pink Brown Brown Gray Purple\nOrange Purple Red Red Orange Red Orange\nOrange Red Blue Red Yellow Red Brown\nPink Brown Pink Yellow Purple Brown Purple\nGray Orange Blue Blue Brown Blue Red\nOrange Gray Red Yellow Orange Purple Blue\nYellow Gray Blue Red Pink Pink Green\nRed Pink Gray Orange Green Brown Pink\nBlue Purple Green Gray Yellow Red Pink\nRed Red Brown Pink Purple Orange Gray\nYellow Pink Purple Gray Blue Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nYellow Blue Yellow Purple Green Orange Gray Pink Pink\nRed Orange Blue Red Green Blue Pink Pink Blue\nPink Yellow Pink Green Pink Orange Orange Orange Brown\nGreen Red Blue Blue Red Purple Orange Brown Gray\nPurple Blue Yellow Yellow Orange Red Blue Brown Brown\nGreen Purple Brown Purple Gray Brown Yellow Pink Pink\nOrange Red Orange Purple Green Pink Brown Gray Green\nPurple Gray Brown Orange Purple Red Purple Pink Gray\nGray Gray Purple Brown Yellow Blue Pink Gray Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Red Pink Brown Blue Purple Yellow Orange Orange\nGreen Purple Red Green Blue Red Orange Orange Red\nOrange Pink Orange Blue Orange Purple Purple Purple Gray\nBlue Green Red Red Green Brown Purple Gray Yellow\nBrown Red Pink Pink Purple Green Red Gray Gray\nBlue Brown Gray Brown Yellow Gray Pink Orange Orange\nPurple Green Purple Brown Blue Orange Gray Yellow Blue\nBrown Yellow Gray Purple Brown Green Brown Orange Yellow\nYellow Yellow Brown Gray Pink Red Orange Yellow 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\nBlack Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Brown Blue Brown Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black\nPurple Brown Brown Brown Purple Purple Purple Purple Black\nBlack Black Black Black Purple Blue Purple Purple Black\nBlack Black Black Black Purple Blue Purple Brown Black\nBlack Black Black Black Purple Blue Purple Brown Black\nBlack Black Black Black Purple Blue Purple Purple Black\nPurple Brown Brown Brown Purple Purple Purple Purple Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black\nPurple Purple Purple Purple Purple Brown Blue Brown 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:\nBrown Blue Brown\nBlack Black Black\nBlack Black Black\nBlue Black Black\nBlue Black Brown\nBlue Black Brown\nBlue Black Black\nBlack Black Black\nBlack Black Black\nBrown Blue Brown\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 Purple Purple Green Black Black Pink Pink Orange Pink Purple\nBlack Black Black Black Black Purple Purple Pink Orange Orange Pink Purple Orange Pink Pink\nBlack Black Black Black Black Purple Purple Purple Black Pink Orange Orange Orange Pink Green\nBlack Black Black Black Black Green Green Green Pink Pink Orange Purple Orange Black Black\nBlack Black Black Black Black Purple Purple Purple Black Pink Orange Orange Orange Pink Green\nBlack Black Black Black Black Purple Purple Pink Orange Orange Pink Purple Orange Pink Pink\nBlack Black Black Black Black Purple Purple Green Black Black Pink Pink Orange Pink Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Pink Pink Orange Pink Purple\nPink Orange Orange Pink Purple Orange Pink Pink\nPurple Black Pink Orange Orange Orange Pink Black\nBlack Pink Pink Orange Purple Orange Black Black\nPurple Black Pink Orange Orange Orange Pink Black\nPink Orange Orange Pink Purple Orange Pink Pink\nBlack Black Black Pink Pink Orange Pink Purple\n\n\nExample 3\nInput:\nGray Black Gray Blue Black Black Black Black Black Black Black Black Black\nGreen Black Blue Blue Green Gray Blue Green Black Black Black Black Black\nGreen Gray Gray Green Green Pink Green Green Green Black Black Black Black\nBlack Black Black Black Yellow Pink Gray Pink Green Black Black Black Black\nGreen Gray Gray Green Green Pink Green Green Green Black Black Black Black\nGreen Black Blue Blue Green Gray Blue Green Black Black Black Black Black\nGray Black Gray 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\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 Green Black\nGreen Green Green\nGray Pink Green\nGreen Green Green\nBlack Green Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Black Red Purple Gray Red Purple Black\nRed Red Red Red Red Gray Gray Purple Purple\nRed Purple Purple Black Red Gray Gray Gray Black\nRed Purple Purple Purple Black Black Brown Red Brown\nPurple Purple Purple Purple Blue Black Brown Brown Red\nRed Purple Purple Purple Black Black Brown Red Brown\nRed Purple Purple Black Red Gray Gray Gray Black\nRed Red Red Red Red Gray Gray Purple Purple\nRed Red Black Red Purple Gray Red Purple Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Gray Red Purple Black\nRed Gray Gray Purple Purple\nRed Gray Gray Gray Black\nBlack Black Brown Red Brown\nBlack Black Brown Brown Red\nBlack Black Brown Red Brown\nRed Gray Gray Gray Black\nRed Gray Gray Purple Purple\nPurple Gray Red Purple Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black 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 Yellow Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black\nYellow Yellow Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Yellow Blue Blue Blue Black Black\nYellow Black Blue Blue Blue Black Black\nYellow Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Blue Blue Blue Black\nBlack Black Yellow Yellow Black Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue 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 Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue 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 Red Yellow Black Black Black Purple\nBlack Gray Black Black Gray Pink Pink Gray\nBlack Pink Black Black Green Red Gray Orange\nGreen Black Black Black Black Orange Brown Black\nBlack Black Red Pink Black Black Black Blue\nRed Black Black Black Black Blue Pink Black\nRed Blue Yellow Blue Blue Black Yellow Black\nBlack Red Black Yellow Pink Blue Yellow Blue\nBlack Green Yellow Black Pink Black Black Black\nGreen Blue Black Brown Pink Green Black Gray\nBlue Blue Gray Pink Black Yellow Black Black\nBlue Blue Black Green Pink Pink Black Black\nBlack Black Black Black Red Blue Red Black\nBlack Blue Black Yellow Pink Blue Blue Black\nPurple Black Orange Brown Black Red Orange Black\nPink Yellow Green Brown Black Black Black Yellow\nBrown Black Blue Green Green Green Black Black\nBrown Yellow Pink Brown Green Yellow Blue Black\n\nOutput:\nBlack Black Blue Yellow Black Black Black Purple\nBlack Gray Black Black Gray Pink Pink Gray\nBlack Pink Black Black Green Blue Gray Orange\nGreen Black Black Black Black Orange Brown Black\nBlack Black Blue Pink Black Black Black Red\nBlue Black Black Black Black Red Pink Black\nBlue Red Yellow Red Red Black Yellow Black\nBlack Blue Black Yellow Pink Red Yellow Red\nBlack Green Yellow Black Pink Black Black Black\nGreen Red Black Brown Pink Green Black Gray\nRed Red Gray Pink Black Yellow Black Black\nRed Red Black Green Pink Pink Black Black\nBlack Black Black Black Blue Red Blue Black\nBlack Red Black Yellow Pink Red Red Black\nPurple Black Orange Brown Black Blue Orange Black\nPink Yellow Green Brown Black Black Black Yellow\nBrown Black Red Green Green Green Black Black\nBrown Yellow Pink Brown Green Yellow Red Black\n\n\nExample 2\nInput:\nBlack Black Red Black Red Blue Black Gray Orange Orange\nBlack Blue Orange Blue Brown Black Yellow Black Brown Gray\nRed Red Orange Green Blue Black Black Purple Purple Purple\nPink Yellow Red Black Black Black Red Black Blue Red\nPurple Red Gray Orange Black Brown Black Black Black Red\nBlue Black Black Red Pink Black Purple Red Black Black\nOrange Red Red Black Black Black Red Yellow Purple Red\n\nOutput:\nBlack Black Blue Black Blue Red Black Gray Orange Orange\nBlack Red Orange Red Brown Black Yellow Black Brown Gray\nBlue Blue Orange Green Red Black Black Purple Purple Purple\nPink Yellow Blue Black Black Black Blue Black Red Blue\nPurple Blue Gray Orange Black Brown Black Black Black Blue\nRed Black Black Blue Pink Black Purple Blue Black Black\nOrange Blue Blue Black Black Black Blue Yellow Purple Blue\n\n\nExample 3\nInput:\nGray Black Gray Red Blue Black Purple Yellow Orange Black Black\nBlack Blue Purple Purple Yellow Pink Black Black Black Black Orange\nOrange Black Orange Brown Black Black Yellow Pink Red Gray Purple\nBlue Yellow Purple Black Red Purple Black Black Purple Black Orange\nGreen Green Black Black Gray Blue Yellow Green Blue Black Gray\nPurple Blue Pink Purple Blue Brown Black Gray Black Blue Black\nGreen Black Black Yellow Black Gray Yellow Green Brown Black Pink\n\nOutput:\nGray Black Gray Blue Red Black Purple Yellow Orange Black Black\nBlack Red Purple Purple Yellow Pink Black Black Black Black Orange\nOrange Black Orange Brown Black Black Yellow Pink Blue Gray Purple\nRed Yellow Purple Black Blue Purple Black Black Purple Black Orange\nGreen Green Black Black Gray Red Yellow Green Red Black Gray\nPurple Red Pink Purple Red Brown Black Gray Black Red Black\nGreen Black Black Yellow Black Gray Yellow Green Brown Black Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Pink Orange Brown Orange Yellow Black Black\nBlack Brown Orange Gray Black Green Black Black Black\nPink Yellow Black Blue Brown Black Green Pink Black\nGreen Black Gray Black Pink Black Purple Black Black\nOrange Yellow Brown Orange Purple Black Black Gray Yellow\nRed Red Yellow Red Blue Pink Black Pink Brown\nGray Pink Purple Black Black Purple Yellow Purple Black\nBrown Black Brown Green Black Black Orange Black Yellow\nGreen Black Red Black Blue Green Brown Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Pink Orange Brown Orange Yellow Black Black\nBlack Brown Orange Gray Black Green Black Black Black\nPink Yellow Black Red Brown Black Green Pink Black\nGreen Black Gray Black Pink Black Purple Black Black\nOrange Yellow Brown Orange Purple Black Black Gray Yellow\nBlue Blue Yellow Blue Red Pink Black Pink Brown\nGray Pink Purple Black Black Purple Yellow Purple Black\nBrown Black Brown Green Black Black Orange Black Yellow\nGreen Black Blue Black Red Green Brown Black Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black\nBlack Black Black Purple Purple Black Black Black\nBlack Black Black Black Purple Black Black Black\nBlack Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Black\nBlack Black Black Black Purple Purple 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 Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Black Black\nBlack Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black\nBlack Black Black Black Purple Black Black\nBlack Black Black Black Purple Black Black\nBlack Black Black Black Purple Black Black\nBlack Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple 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 Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nYellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nYellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Blue Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Red Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red 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\nBlue Blue Blue Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Red Black Black Black Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red 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\nBlue Blue Blue Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Red Red Black Black Black Yellow Yellow Black Black\nBlack Red Red Black Black Black Yellow Yellow Yellow Black\nBlack Red Red Black Black Black Black Black Yellow Black\nBlack Red Red Green Black Black Yellow Yellow Yellow Black\nBlack Black Black Green Green Green Yellow Yellow Black Black\nBlack Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nRed Red Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Red Red Black Black Black Yellow Yellow Black Black\nBlack Red Red Black Black Black Yellow Yellow Yellow Black\nBlack Red Red Black Black Black Black Black Yellow Black\nBlack Red Red Green Black Black Yellow Yellow Yellow Black\nBlack Black Black Green Green Green Yellow Yellow Black Black\nBlack Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Green 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 Red Red 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 Red Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Red Red Red Red Black Black Black Blue Blue Black Black Black Black\nBlack Black Red Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Red Red Red Red Black Black Black Red Red Black Black Black Black\nBlack Black Red Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Red Black\nBlack Black Black Blue Black Black Black Black Black Green Green Black\nGreen Black Black Black Black Black Red Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Red Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Red Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Green Green Black\nGreen Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Green\nBlack Red Black Black Black Black Black Black Red Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Yellow\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Yellow Black Black\nBlack Black Black Red Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Red Black Red Green Red Red Black Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Yellow\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nGreen Green Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Yellow\nBlack Red Black Red Black Red Red Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Blue Black Black Blue Blue Black Green\nBlack Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow\nGreen Blue Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Red Black\nRed Black Black Yellow Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Blue Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black\nGreen Red Black Yellow Black Black Black Black Red Black Black\nRed Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Black Black Black Black Blue Black Yellow\nGreen Black Black Black Black Black Red Black Green\nBlack Black Black Yellow Black Blue Black Yellow Black\nBlack Black Black Black Green Yellow Black Black Blue\nBlue Black Black Black Black Red Black Black Black\nGreen Black Black Black Black Black Black Black Black\nBlack Black Red Black Green Black Black Black Black\nBlack Black Black Black Black Red Black Black Black\nRed Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Black Black Black Black Blue Yellow\nBlack Black Black Yellow Black Red Black Yellow Black\nGreen Black Black Black Black Black Blue Black Green\nBlack Black Black Black Black Black Black Black Blue\nBlack Blue Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black\nRed Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink 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 Pink Pink Black\nPink Pink Pink Pink Black\nPink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink\nBlack Pink Pink Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\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 Yellow Yellow Black Black Black Black\nBlack Black Orange Yellow Yellow Yellow Black Black Black Black\nBlack Black Orange Yellow Orange Yellow Black Black Black Black\nBlack Black Orange Yellow Orange Orange Orange Yellow Black Black\nBlack Black Orange Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Orange Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Orange\nBlack Black Yellow Orange Yellow Orange\nYellow Orange Orange Orange Yellow Orange\nBlack Yellow Yellow Yellow Yellow Orange\nBlack Yellow Yellow Orange Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue\nBlue Blue Blue Blue\nBlue Blue Blue Blue\nBlue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Pink\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\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 Orange\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\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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue 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 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 Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue 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 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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue 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 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 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 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 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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue 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\nBlack Yellow Green Purple Black\nBlack Gray Pink Brown Black\nBlack Orange Orange Brown Black\nBlack Black Black Black Black\n\nOutput:\nBrown Orange Brown Orange Orange\nBrown Pink Brown Pink Gray\nPurple Green Purple Green Yellow\nBrown Pink Brown Pink Gray\nPurple Green Purple Green Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Brown Green Red Black\nBlack Brown Gray Red Black\nBlack Brown Gray Yellow Black\nBlack Black Black Black Black\n\nOutput:\nYellow Gray Yellow Gray Brown\nRed Gray Red Gray Brown\nRed Green Red Green Brown\nRed Gray Red Gray Brown\nRed Green Red Green Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Red Red Red Black\nBlack Gray Orange Blue Black\nBlack Pink Purple Purple Black\nBlack Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Pink\nBlue Orange Blue Orange Gray\nRed Red Red Red Red\nBlue Orange Blue Orange Gray\nRed Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Blue Pink Red Black\nBlack Blue Blue Yellow Black\nBlack Pink Blue Purple 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```\nPurple Blue Purple Blue Pink\nYellow Blue Yellow Blue Blue\nRed Pink Red Pink Blue\nYellow Blue Yellow Blue Blue\nRed Pink Red Pink 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 Red Red Pink Gray\nRed Red Brown Orange Orange\nGray Red Brown Orange Orange\nGray Gray Brown Orange Brown\nBlue Yellow Orange Orange Brown\nGray Yellow Orange Blue Yellow\nRed Yellow Red Pink Pink\n\nOutput:\nGray Orange Orange Brown Brown Yellow Pink\nPink Orange Orange Orange Orange Blue Pink\nRed Brown Brown Brown Orange Orange Red\nRed Red Red Gray Yellow Yellow Yellow\nBrown Red Gray Gray Blue Gray Red\n\n\nExample 2\nInput:\nYellow Yellow Green Green Yellow Yellow\nGray Gray Green Green Gray Gray\nPurple Purple Purple Purple Purple Purple\nBrown Orange Gray Gray Orange Brown\nGreen Green Gray Gray Green Green\n\nOutput:\nYellow Gray Purple Brown Green\nYellow Gray Purple Orange Green\nGreen Green Purple Gray Gray\nGreen Green Purple Gray Gray\nYellow Gray Purple Orange Green\nYellow Gray Purple Brown Green\n\n\nExample 3\nInput:\nPink Purple Purple Blue Yellow Yellow\nPink Gray Red Yellow Yellow Yellow\nGray Blue Red Brown Brown Brown\nYellow Red Red Green Brown Purple\nGray Gray Brown Gray Orange Orange\nGray Gray Gray Blue Blue Orange\n\nOutput:\nYellow Yellow Brown Purple Orange Orange\nYellow Yellow Brown Brown Orange Blue\nBlue Yellow Brown Green Gray Blue\nPurple Red Red Red Brown Gray\nPurple Gray Blue Red Gray Gray\nPink Pink Gray Yellow Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple\nBlue Pink Pink Blue\nBrown Brown Brown Brown\nRed 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```\nPurple Blue Brown Red\nPurple Pink Brown Red\nPurple Pink Brown Red\nPurple Blue Brown Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Black\nBlack Black Purple Black Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Black Purple Purple Black Black Black\nBlack Black Black Purple Black Purple Purple Black Black Black\nBlack Purple Purple Purple Black Black Purple Purple Purple Black\nBlack Purple Black Black Black Purple Purple Black Black Black\nBlack Purple 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 Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Orange Black Black Black Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Black Orange Orange Black\nBlack Orange Orange Black Orange Orange Black\nBlack Black Orange Black Orange Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Black Black 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 Pink Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Black Pink Pink Pink Black\nBlack Pink Black Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Black Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink 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 Pink Pink Black Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Black Pink Black Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Black Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlue Blue\nBlue Blue\n\n\nExample 2\nInput:\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlue Blue\nBlue Blue\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black 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:\nBlue Blue\nBlue Blue\n\n\nHere is the input grid for the test example:\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 Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue\nBlue 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:\nYellow Yellow Yellow Yellow\nBlack Yellow Black Black\nBlack Yellow Black Black\nBlack Black Yellow Yellow\nGreen Green Green Green\nBlack Red Black Black\nRed Black Red Red\nBlack Red Red Red\nRed Red Red Black\nGreen Green Green Green\nBlack Orange Black Orange\nBlack Orange Orange Orange\nOrange Orange Orange Black\nBlack Black Black Black\n\nOutput:\nYellow Orange Yellow Orange\nRed Orange Orange Orange\nOrange Orange Orange Red\nRed Red Red Yellow\n\n\nExample 2\nInput:\nBlack Black Yellow Yellow\nYellow Yellow Yellow Black\nBlack Black Yellow Black\nBlack Yellow Black Black\nGreen Green Green Green\nRed Black Black Black\nBlack Red Black Red\nRed Red Black Black\nRed Red Red Red\nGreen Green Green Green\nBlack Orange Black Orange\nBlack Orange Orange Black\nBlack Orange Orange Orange\nBlack Orange Orange Black\n\nOutput:\nRed Orange Yellow Orange\nYellow Orange Orange Red\nRed Orange Orange Orange\nRed Orange Orange Red\n\n\nExample 3\nInput:\nBlack Black Yellow Yellow\nYellow Black Black Black\nYellow Yellow Black Yellow\nYellow Black Yellow Black\nGreen Green Green Green\nRed Black Red Black\nRed Red Black Red\nBlack Black Black Black\nBlack Red Red Red\nGreen Green Green Green\nOrange Orange Orange Black\nBlack Orange Black Black\nBlack Black Orange Black\nBlack Orange Orange Orange\n\nOutput:\nOrange Orange Orange Yellow\nRed Orange Black Red\nYellow Yellow Orange Yellow\nYellow Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Black Black\nYellow Black Yellow Yellow\nBlack Black Yellow Yellow\nBlack Black Yellow Black\nGreen Green Green Green\nRed Black Black Red\nRed Red Black Black\nRed Red Red Red\nRed Black Black Red\nGreen Green Green Green\nBlack Orange Orange Black\nBlack Black Black Black\nOrange Black Orange Orange\nOrange 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```\nRed Orange Orange Red\nRed Red Yellow Yellow\nOrange Red Orange Orange\nOrange Orange Orange Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\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 Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\n\nOutput:\nOrange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Orange Orange Orange Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Orange Orange Orange Green Green Green\nGreen Green Green Purple Purple Purple Purple Purple Purple Green Green Green\nGreen Green Green Purple Purple Purple Purple Purple Purple Green Green Green\nGreen Green Green Purple Purple Purple Purple Purple Purple Green Green Green\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Green Green Green\nGreen Green Green Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Green Green Green\nGreen Green Green Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Green Green Green\nGreen Green Green Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Green Green Green\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Red Red Red Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Red Red Red Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Red Red Red Gray Gray Gray Blue Blue Blue\nGray Gray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\n\nOutput:\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Blue Blue Blue Blue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Blue Blue Blue Blue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Blue Blue Blue Blue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Red Red Red Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Red Red Red Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Red Red Red Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Red Red Red Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Red Red Red Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Red Red Red Gray Gray Gray Blue Blue Blue\nGray Gray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\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 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 Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink 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```\nPink 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\nPink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Purple Purple Orange Orange Orange Orange Black Black Black Black Black Black Pink Black\nBlack Brown Purple Purple Brown Black Orange Orange Black Black Black Black Black Black Black Pink Black\nBlack Brown Brown Brown Brown Black Black Brown Brown Brown Black Black Black Black Black Pink Black\nBlack Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Gray 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 Black Black Pink\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Pink\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Pink\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Green Pink Pink\nBrown Green Pink Pink\nBrown Green Pink Pink\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 Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Brown Black\nBlack Black Black Red Red Gray Gray Black Blue Blue Blue Black Black Black\nBlack Orange Orange Red Red Black Black Black Blue Blue Blue Black Black Black\nBlack Black Orange Red Red Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Red Red Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Brown Blue\nOrange Orange Brown Blue\nOrange Orange Brown Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Green Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Gray Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Gray Black Black Black Black\nBlack Black Black Blue Blue Blue Purple Purple Black Gray Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black\n\nOutput:\nBlue Red Gray Green\nBlue Red Gray Green\nBlue Red Gray Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Yellow\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Green Green Green Black Black Black Black Black\nBlack Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Pink Pink Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Pink Pink Yellow Brown\nOrange Orange Pink Pink Yellow Brown\nOrange Orange Pink Pink Yellow Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Yellow Yellow Black Black Green Black Green Pink\nBlack Black Pink Black Blue Black Green Black Pink Black\nBlack Black Green Black Black Yellow Black Green Pink Black\nBlack Black Black Black Green Green Black Pink Black Black\nBlack Green Black Black Green Black Black Black Yellow Black\nPurple Pink Black Black Orange Black Black Yellow Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Black Green Black Yellow Pink Yellow Black Black\nBlack Black Yellow Black Black Black Black Black Pink Purple\nBlack Black Black Black Black Black Black Black Black Yellow\n\nOutput:\nBlack Black Green Green Black Black Green Black Green Green\nBlack Black Green Black Blue Black Green Black Green Black\nBlack Black Green Black Black Green Black Green Green Black\nBlack Black Black Black Green Green Black Green Black Black\nBlack Green Black Black Green Black Black Black Green Black\nPurple Green Black Black Orange Black Black Green Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Green Black Green Green Green Black Black\nBlack Black Green Black Black Black Black Black Green Purple\nBlack Black Black Black Black Black Black Black Black Green\n\n\nExample 2\nInput:\nGreen Black Pink Black Brown Purple Black Black Black Black\nBlack Black Purple Black Pink Black Black Green Black Black\nBlack Black Black Black Yellow Black Black Black Gray Black\nBlack Red Black Black Brown Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Brown Black Green Black Pink\nPink Black Black Pink Black Pink Black Black Black Black\nBlack Brown Green Black Black Black Pink Black Pink Black\nBlack Black Black Black Black Black Black Black Purple Pink\nBlack Green Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Green Black Brown Purple Black Black Black Black\nBlack Black Purple Black Green Black Black Green Black Black\nBlack Black Black Black Yellow Black Black Black Gray Black\nBlack Red Black Black Brown Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Brown Black Green Black Green\nGreen Black Black Green Black Green Black Black Black Black\nBlack Brown Green Black Black Black Green Black Green Black\nBlack Black Black Black Black Black Black Black Purple Green\nBlack Green Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Purple Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Blue Black Green Black\nBlack Black Purple Purple Black Black Black Black Black Black\nPurple 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 Yellow Black Black Black Purple Black Black Black\nRed Red Black Purple Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Brown Black Black Black Black\n\nOutput:\nBlack Black Green Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Blue Black Green Black\nBlack Black Green Green Black Black Black Black Black Black\nGreen 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 Yellow Black Black Black Green Black Black Black\nRed Red Black Green Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Brown Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Black Red Brown Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nGray Black Black Pink Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Gray Orange\nBlack Black Black Black Black Black Gray Black Black Red\nYellow Blue Black Black Black Black Gray Black Red Black\nBlack Black Black Gray Black Black Black Black Gray Red\nGray Black Pink Black Black Black Black Black Purple Black\nBlack Black Pink Pink Black Black Red Yellow Red Black\nBlack Pink Pink Black Black Black Black Black Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Black Black Black Black Green Brown Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nGreen Black Black Green Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Green Orange\nBlack Black Black Black Black Black Green Black Black Green\nYellow Blue Black Black Black Black Green Black Green Black\nBlack Black Black Green Black Black Black Black Green Green\nGreen Black Green Black Black Black Black Black Purple Black\nBlack Black Green Green Black Black Green Yellow Green Black\nBlack Green Green Black Black Black Black Black 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\nBlack Black Blue Black Blue Black Black Black Purple Brown Red Gray Black\nBlack Black Blue Blue Blue Black Black Blue Purple Black Black Black Black\nBlack Black Black Blue Blue Blue Black Blue Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Pink Black Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Black Pink Black Black Black Black Brown Black Black Black Black\nBlack Red Black Blue Black Brown Brown Brown Brown Black Black Black Black\nBlack Red Brown Red Black Blue Brown Purple Brown Black Black Black Black\nBlack Red Red Red Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Red Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Blue Black Black Black Black\nBlack Black Black Gray Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBrown Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Brown Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Gray Purple Gray\nBlue Black Black Pink Black Black Black Black Black Black Black Red Purple Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Pink Blue Pink\n\nOutput:\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlue Purple Red Pink Black Black Black Black Black Black Black Black Black Black\nRed Black Red Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Orange Black Black Black Black Black Black Black Black Black Black Black\nPink Blue Pink 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 Blue 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Orange Black Black Black\nBlack Black Orange Orange Yellow Yellow Yellow Black Black Blue Orange Black Black Black\nBlack Black Orange Black Blue Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown 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\nBlack Black Black Black Black Black Black Black Black Blue Blue Green Orange\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Green\nBlack Black Purple Purple Blue Purple Purple Black Black Black Black Blue Blue\nBlack Black Pink Blue Black Blue Pink Black Black Black Black Blue Blue\nBlack Black Yellow Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Pink Black Black Black Pink Black Black Black Black Black Black\nBlack Black Gray Yellow Black Yellow Gray Black Black Black Black Pink Blue\nYellow Black Black Black Black Black Black Black Black Black Pink Pink Pink\nYellow Orange Blue Blue Black Black Black Black Black Black Black Pink Black\nBlue Black Blue 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\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Orange Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Blue 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 Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\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 Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink\nBlack 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 Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black\nBlack Red Red Red Black Black Black Black\nBlack Black Red 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 Red Black\nRed Red Red\nBlack Red Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black\nRed Red Red\nRed Red 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 Black Black Red Black Black Black\nBlack Black Black Red Red Red Black Black\nBlack Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Red Black\nRed Red Red\nBlack Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Black Black\nBlack Black Black Red Red Red Black Black\nBlack Black Black Red Black Red 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```\nRed Red Red\nBlack Red Black\nRed Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Blue 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\nGreen Black Black Black Black Black Black Black Blue 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 Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue 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 Black Black Blue 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red 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 Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Red Black 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 Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue 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 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\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 Blue 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\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Black Black\nBlack Black Black Black Black Black Black Black Black 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\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 Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Green Black Black Black Blue 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 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\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 Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Green Black Black Black Blue 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 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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue\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 Green Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nGreen 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 Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green 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 Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nGreen 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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Purple\nBlack Black Black Black Orange\nBlack Black Black Black Pink\nBlack Black Black Black Yellow\nBlack Black Black Black Pink\nBlack Black Black Black Brown\nBlack Black Black Black Purple\nBlack Black Black Black Gray\n\nOutput:\nPurple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange\nPink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple\nGray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Pink\nBlack Black Black Black Orange\nBlack Black Black Black Yellow\nBlack Black Black Black Blue\nBlack Black Black Black Red\nBlack Black Black Black Green\nBlack Black Black Black Pink\n\nOutput:\nPink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue\nRed Red Red Red Red\nGreen Green Green Green Green\nPink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Orange\nBlack Black Black Black Gray\nBlack Black Black Black Brown\nBlack Black Black Black Yellow\nBlack Black Black Black Yellow\nBlack Black Black Black Red\nBlack Black Black Black Green\n\nOutput:\nOrange Orange Orange Orange Orange\nGray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red\nGreen Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Gray\nBlack Black Black Black Pink\nBlack Black Black Black Gray\nBlack Black Black Black Green\nBlack Black Black Black Pink\nBlack Black Black Black Brown\nBlack Black Black Black Gray\nBlack Black Black Black Brown\nBlack 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 Gray Gray\nPink Pink Pink Pink Pink\nGray Gray Gray Gray Gray\nGreen Green Green Green Green\nPink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown\nGray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Black\nPurple Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Purple Purple Purple Black\nBlack Purple Purple Purple Black\nBlack Purple Purple Purple Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Green Green Green Black\nBlack Green Green Green Black\nBlack Green Green Green Black\nPink Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Pink Pink Pink Black\nBlack Pink Pink Pink Black\nBlack Pink Pink Pink Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Green Green Green Black\nBlack Green Green Green Black\nBlack Green Green Green Black\nOrange Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Orange Orange Orange Black\nBlack Orange Orange Orange Black\nBlack Orange Orange Orange Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Gray Gray Gray Black\nBlack Gray Gray Gray Black\nBlack Gray Gray Gray Black\nGray Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Gray Gray Gray Black\nBlack Gray Gray Gray Black\nBlack Gray Gray Gray 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 Blue Blue Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Purple Purple Black Black Black Black\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\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Orange Orange\nBlack Black Brown Brown Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Purple Purple Orange Orange Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Purple Purple Orange Orange Black Black Black Black Orange Orange Black Black\nRed Red Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Green Green\nRed Red Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Green Green\nPink Pink Black Black Black Black Purple Purple Pink Pink Black Black Black Black Orange Orange\nPink Pink Black Black Black Black Purple Purple Pink Pink Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nPink Pink Pink Pink Yellow Yellow Black Black Black Black Orange Orange Yellow Yellow Purple Purple\nPink Pink Pink Pink Yellow Yellow Black Black Black Black Orange Orange Yellow Yellow Purple Purple\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Red Red Black Black Black Black Blue Blue Pink Pink\nYellow Yellow Black Black Black Black Red Red Black Black Black Black Blue Blue Pink Pink\nOrange Orange Black Black Gray Gray Black Black Black Black Black Black Orange Orange Black Black\nOrange Orange Black Black Gray Gray Black Black Black Black Black Black Orange Orange Black Black\n\nOutput:\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Black Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Red Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Red Red Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Yellow Yellow Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Orange Orange Black Black Pink Pink Black Black\nBlack Black Black Black Yellow Yellow Orange Orange Black Black Pink Pink Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Purple Purple Black Black Red Red\nGreen Green Black Black Black Black Black Black Purple Purple Black Black Red Red\nPink Pink Pink Pink Black Black Black Black Black Black Purple Purple Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Purple Purple Black Black\nGreen Green Green Green Brown Brown Pink Pink Black Black Black Black Red Red\nGreen Green Green Green Brown Brown Pink Pink Black Black Black Black Red Red\nBlack Black Black Black Black Black Gray Gray Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Brown Brown Black Black\n\nOutput:\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Orange Orange Black Black Orange Orange Orange Orange\nOrange Orange Orange Orange Black Black Orange Orange Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Green Green Gray Gray Black Black Black Black Orange Orange Black Black\nBlack Black Green Green Gray Gray Black Black Black Black Orange Orange 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\nGreen Green Black Black Black Black Black Black Black Black Black Black Pink Pink\nGreen Green Black Black Black Black Black Black Black Black Black Black Pink Pink\nYellow Yellow Black Black Purple Purple Gray Gray Black Black Black Black Black Black\nYellow Yellow Black Black Purple Purple Gray Gray Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBrown Brown Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Gray Gray Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nPurple Purple Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Orange Orange Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Brown Brown Orange Orange Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Purple Purple 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\nRed Red Gray Gray Red Red Black Black Black Black Green Green Black Black Orange Orange Black Black\nRed Red Gray Gray Red Red Black Black Black Black Green Green Black Black Orange Orange Black Black\nBlack Black Yellow Yellow Black Black Blue Blue Brown Brown Black Black Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Black Black Blue Blue Brown Brown Black Black Blue Blue Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 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\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Pink Pink 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 Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple 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 Pink Green Yellow Black Black Black Black\nBlack Pink Yellow Green Black Black Black Black\nBlack Black Green Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black\nBlack Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Green Yellow Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Pink Yellow Black Black\nBlack Black Black Black Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\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 Purple Purple Black Black\nBlack Black Black Black Black Purple Purple 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 Green Yellow Black Black\nBlack Black Black Black Black Yellow Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Purple Black Pink Black\nBlack Black Black Pink Black Brown Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black\nBlack Black Pink Black Orange Black Black Gray\nOrange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Purple Purple Pink Pink Pink\nBlack Black Pink Purple Brown Pink Pink Pink\nBlack Black Pink Purple Brown Pink Pink Pink\nBlack Black Pink Yellow Brown Brown Brown Black\nBlack Pink Pink Yellow Yellow Yellow Gray Gray\nOrange Pink Pink Yellow Yellow Yellow Gray Gray\nOrange Pink Pink Orange Orange Brown Gray Gray\nOrange Orange Black Black Black Brown Brown Brown\nBlack Brown Brown Brown Black Brown Brown Brown\nBlack Brown Brown Brown Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Brown Black\nGray Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black\nOrange Gray Black Black Black Black Black\nPurple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Green Black Black Black Black Yellow\nBlack Black Black Black Black Brown Black\nYellow Black Black Black Black Black Black\nBlack Black Black Black Black Green Black\n\nOutput:\nGray Gray Black Blue Brown Brown Brown\nGray Gray Black Blue Brown Brown Brown\nGray Gray Gray Blue Blue Blue Black\nGray Gray Gray Black Black Black Black\nGray Gray Gray Black Black Black Black\nGreen Green Green Black Black Yellow Yellow\nGreen Green Green Black Brown Yellow Yellow\nGreen Green Green Black Brown Yellow Yellow\nYellow Yellow Black Black Brown Brown Brown\nYellow Yellow Black Black Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Green Black Black\nBlack Black Black Black Black Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGreen Black Brown Purple Black Purple Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPurple Gray Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Red Red Red\nBlack Black Black Green Red Red Red\nBlack Black Black Black Red Red Red\nGreen Brown Purple Purple Purple Purple Purple\nGreen Brown Purple Purple Purple Purple Purple\nGreen Brown Purple Purple Purple Purple Purple\nBlack Black Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Black Black\nGray Gray Gray Black Black Black Black\nGray Gray Gray Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Purple Pink Pink\nBlack Black Black Orange Black Black Black Black Black\nYellow Black Black Black Green Black Black Black Green\nBrown Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Gray Black Black Pink\nBlack Black Black Black Black Black Black Purple Black\nBlack Black Black Black Pink Red Black Black Black\nOrange Black Blue Black Black Black Black Black Pink\nBlack Black Black Black Black Black Purple Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Orange Orange Orange Purple Pink Pink Pink\nYellow Yellow Orange Green Green Purple Pink Pink Pink\nYellow Yellow Orange Green Orange Orange Orange Green Green\nYellow Yellow Black Green Orange Orange Orange Green Green\nBrown Brown Black Black Orange Orange Purple Pink Pink\nBlack Black Black Pink Gray Gray Purple Pink Pink\nOrange Blue Blue Pink Red Red Purple Pink Pink\nOrange Blue Blue Pink Red Purple Purple Pink Pink\nOrange Blue Blue Blue Black Purple Purple 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\nBlack Brown Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Purple Brown Black Black Black Black Black Black Black Black Pink\nBlack Black Orange Black Green Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Green Black Purple Black Blue Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Yellow Purple Black Black Black Black Black Pink Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Orange Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Yellow Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Brown Black Black Black Red Purple Black Black Brown Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Purple Brown Black Black Black Black Black Black Black Black Pink\nBlack Black Orange Black Yellow Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Green Black Purple Black Blue Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Yellow Purple Black Black Black Black Black Pink Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Yellow Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Yellow Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Brown Black Black Black Red Purple Black Black Brown Black Black Black\n\n\nExample 2\nInput:\nBlack Black Blue Purple Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Blue Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Brown Black Black Black Brown Black Black\nBlack Orange Black Green Brown Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Green Black Black Black Black Black Green Black\nBlack Yellow Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Pink Black Yellow Black Purple\nBlack Black Black Brown Black Pink Black Black Black Black Orange Orange Black Brown\nBrown Black Red Blue Black Black Black Black Black Black Black Green Black Black\nBrown Black Black Black Black Black Black Black Black Green Yellow Black Black Black\nBlack Black Pink Black Black Black Black Black Pink Black Black Black Green Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black\n\nOutput:\nBlack Black Blue Yellow Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Blue Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Brown Black Black Black Brown Black Black\nBlack Orange Black Green Brown Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Green Black Black Black Black Black Green Black\nBlack Yellow Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Pink Black Yellow Black Purple\nBlack Black Black Yellow Black Pink Black Black Black Black Orange Orange Black Brown\nBrown Black Yellow Blue Black Black Black Black Black Black Black Green Black Black\nBrown Black Black Black Black Black Black Black Black Green Yellow Black Black Black\nBlack Black Pink Black Black Black Black Black Pink Black Black Black Green Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black\n\n\nExample 3\nInput:\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Orange Black Blue Black Black Black Black Black Black Orange Black Black Black\nBlack Black Blue Blue Black Purple Black Black Black Yellow Black Green Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Blue Black\nBlack Green 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 Black\nBrown Black Black Black Black Black Brown Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Brown Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Yellow Black Blue Black Black Black Black Black Black Orange Black Black Black\nBlack Black Blue Blue Black Purple Black Black Black Yellow Black Green Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Blue Black\nBlack Green 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 Black\nBrown Black Black Black Black Black Brown Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Brown Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Blue Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Black Black Black Yellow Black\nBlack Black Orange Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Yellow Black Black Black Black Black\nBlack Pink Black Black Purple Orange Black Black Black Black Black Purple Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Blue Blue Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Blue Red Blue Pink Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Yellow Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Blue Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Black Black Black Yellow Black\nBlack Black Orange Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Yellow Black Black Black Black Black\nBlack Pink Black Black Purple Orange Black Black Black Black Black Purple Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Blue Blue Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Blue Yellow Blue Yellow Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Green Green Black Black Black Black Black Black Red Red Black Black\nBlack Green Green Black Green Green Black Black Black Red Red Black Black\nBlack Green Green Black Green Green Black Black Black Red Red Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Gray Gray Black Black Black Black Black Black Red Red Black Black\nBlack Gray Gray Black Gray Gray Black Black Black Red Red Black Black\nBlack Gray Gray Black Gray Gray Black Black Black Red Red Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Green Green Black Black Green Green Green Green Black\nBlack Red Black Black Green Green Green Green Black Green Green Green Green Black\nBlack Red Red Red Red Green Green Black Black Green Black Black Green 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 Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Green Green Black Black Gray Gray Gray Gray Black\nBlack Red Black Black Green Green Green Green Black Gray Gray Gray Gray Black\nBlack Red Red Red Red Green Green Black Black Gray Black Black Gray 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\nBlack Black Black Green Green Black\nBlack Black Green Green Black Black\nBlack Black Black Green Green Black\nBlack Black Black Black Black Black\nBlack Red Red Red Black Black\nBlack Red Red Red Black Black\nBlack Red Black Red 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:\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Green Green Gray\nGray Gray Green Green Gray Gray\nGray Gray Gray Green Green Gray\nGray Gray Gray Gray Gray Gray\nGray Red Red Red Gray Gray\nGray Red Red Red Gray Gray\nGray Red Gray Red 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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Green Black Black Black Black Red Red Black\nBlack Black Green Black Black Black Red Red Red Black\nBlack Green Green Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Green 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```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Red Red Gray Gray Gray Gray Gray\nGray Gray Red Red Red Gray Gray Gray Gray Gray\nGray Gray Red Gray Gray Gray Gray Gray Gray Gray\nGray Gray Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Gray\nGray Gray Green Gray Gray Gray Gray Red Red Gray\nGray Gray Green Gray Gray Gray Red Red Red Gray\nGray Green Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Green 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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Green Green Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Green Green Orange Black Black\nBlack Orange Orange Orange Orange Black Black Orange Black Black\nBlack Black Orange Orange Black Black Black Orange Black Black\nBlack Black Orange Orange Black Black 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 Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Black Black Black Black Black Blue Black\nBlack Black Orange Orange Orange Orange Black Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Purple Purple Purple Purple Blue Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Green Green Black\nBlack Black Black Purple Purple Purple Purple Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Blue Black\nBlack Black Black Orange Orange Black Black Black Blue Black\nBlack Black Black Orange Black Black Blue Blue Blue Black\nBlack Black Black Brown Brown Green Black Black Black Black\nBlack Black Black Black Brown Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Black\nBlack Green Green Green Black Black Black Pink Pink Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Black Black Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray 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 Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Purple Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Purple Black Black Black Purple Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Gray Gray Gray Gray Gray Gray Gray Gray Purple\nBlack Purple Black Black Black Black Black Black Purple Black Black Black\nBlack Purple Purple Black Purple Purple Black Black Purple Black Black Black\nBlack Black Black Black Black Purple Black Purple Purple Black Black Black\nPurple Black Purple Black Black Purple Black Black Black Purple Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Purple Black Black\nBlack Purple Purple Black Black Purple Black Black\nBlack Black Purple Black Purple Purple Black Black\nBlack Black Purple Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Purple Purple Black Black Purple Purple Black\nGray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Purple Black Black Purple Black Purple Black Black\nPurple Gray Gray Gray Gray Gray Gray Gray Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Purple Black Black\nBlack Purple Black Black Black Black Black Purple Black Black Black Black Black Purple\nPurple 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\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Purple\nBlack Purple Black Black Black Black Purple Black Purple Black Black Black Black Black\nPurple Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black\nPurple Gray Gray Gray Gray Gray Gray Gray Purple Black Purple Black Black Purple\nBlack Black Black Purple Black Black Black Black Black Black Black Black Purple Black\n\nOutput:\nBlack Black Black Black Black Purple Black\nGray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black\nPurple Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Black Black\nPurple Black Black Black Black Purple Black\nBlack Purple Purple Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray\nBlack Black Purple Black Black Black Black\n\n\nExample 3\nInput:\nPurple Black Black Black Black Purple Black Black Purple Black Black Black Purple\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Purple\nBlack Black Purple Black Purple Black Purple Purple Black Black Black Black Black\nBlack Black Purple Gray Gray Gray Gray Gray Purple Black Black Purple Black\nBlack Black Purple Black Black Purple Purple Black Black Black Black Black Black\nBlack Purple Black Black Black Purple Black Black Purple Black Black Black Black\nBlack Purple Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Purple\nBlack Black Purple Gray Gray Gray Gray Gray Purple Black Purple Black Black\n\nOutput:\nBlack Purple Black Purple Purple\nGray Gray Gray Gray Gray\nBlack Black Purple Purple Black\nBlack Black Purple Black Black\nPurple Black Black Black Black\nBlack Black Black Black Black\nPurple Purple Black Black Black\nGray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Purple Gray Gray Gray Gray Purple Black Black Black\nBlack Purple Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Purple Black Black Black Black Purple Black Black Purple Purple Black\nPurple Purple Black Purple Black Black Black Black Purple Black Purple Purple Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Purple Black Black Black Purple Black Black Purple Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Purple Purple Gray Gray Gray Gray Purple Black Black Purple\nPurple Black Black Black Black Purple Black Black Purple Purple Black Black Purple\nBlack Black Black Black Black Black Purple Black Purple Black Purple Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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\nGray Gray Gray Gray\nBlack Black Black Purple\nBlack Black Purple Black\nBlack Black Black Purple\nPurple Black Black Black\nPurple Black Black Purple\nBlack Black Black Black\nGray Gray Gray Gray\nPurple Black Black Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Black Pink Blue Red Black Purple Pink Black Green\nPurple Black Black Orange Orange Purple Green Black Black Black\nBlue Yellow Black Purple Pink Red Yellow Black Gray Black\nPink Red Black Black Orange Black Gray Yellow Orange Gray\nBlack Black Blue Black Red Orange Black Black Brown Green\nBlack Green Orange Black Black Black Black Blue Red Purple\nBrown Red Yellow Purple Black Green Brown Black Gray Black\nPink Yellow Red Green Yellow Black Black Black Purple Black\nBlack Black Orange Black Black Red Brown Orange Black Black\nPink Purple Black Black Black Black Green Brown Black Black\n\nOutput:\nBlue Black Blue Yellow Blue Black Blue Blue Black Blue\nBlue Black Black Blue Blue Blue Blue Black Black Black\nYellow Blue Black Blue Blue Blue Blue Black Yellow Black\nBlue Blue Black Black Blue Black Yellow Blue Blue Yellow\nBlack Black Yellow Black Blue Blue Black Black Yellow Blue\nBlack Blue Blue Black Black Black Black Yellow Blue Blue\nYellow Blue Blue Blue Black Blue Yellow Black Yellow Black\nBlue Blue Blue Blue Blue Black Black Black Blue Black\nBlack Black Blue Black Black Blue Yellow Blue Black Black\nBlue Blue Black Black Black Black Blue Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Green Black Green Red Yellow\nBlack Black Black Pink Black Green Black Red Black Black\nBlack Black Black Red Black Black Black Black Yellow Gray\nBlack Black Yellow Green Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Blue Red Black Blue Green Black Black Green Black\nBlack Purple Black Black Black Brown Black Black Black Black\nBlack Green Orange Black Black Black Red Black Orange Black\nPink Purple Black Purple Black Black Black Red Black Black\nOrange Black Yellow Purple Purple Black Black Blue Black Black\n\nOutput:\nBlack Black Black Black Black Blue Black Blue Blue Yellow\nBlack Black Black Yellow Black Blue Black Blue Black Black\nBlack Black Black Blue Black Black Black Black Yellow Yellow\nBlack Black Yellow Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Yellow Blue Black Yellow Blue Black Black Blue Black\nBlack Blue Black Black Black Yellow Black Black Black Black\nBlack Blue Yellow Black Black Black Blue Black Yellow Black\nYellow Blue Black Blue Black Black Black Blue Black Black\nYellow Black Yellow Blue Blue Black Black Yellow Black Black\n\n\nExample 3\nInput:\nBlack Purple Yellow Yellow Black Red Black Black Red Red\nBlack Black Black Purple Orange Blue Yellow Black Black Red\nGray Black Black Black Black Black Blue Black Black Black\nBlack Black Yellow Black Purple Green Blue Brown Yellow Black\nBlack Black Black Orange Black Black Black Green Black Black\nYellow Black Black Gray Pink Black Pink Black Yellow Black\nBlack Black Black Black Black Black Gray Black Red Black\nGreen Black Black Red Black Black Black Black Black Green\nBlack Green Black Pink Black Black Black Black Black Yellow\nGray Black Red Black Yellow Black Black Black Pink Black\n\nOutput:\nBlack Yellow Blue Blue Black Blue Black Black Blue Blue\nBlack Black Black Yellow Yellow Yellow Blue Black Black Blue\nYellow Black Black Black Black Black Yellow Black Black Black\nBlack Black Blue Black Yellow Yellow Yellow Yellow Blue Black\nBlack Black Black Yellow Black Black Black Yellow Black Black\nBlue Black Black Yellow Yellow Black Yellow Black Blue Black\nBlack Black Black Black Black Black Yellow Black Blue Black\nYellow Black Black Blue Black Black Black Black Black Yellow\nBlack Yellow Black Yellow Black Black Black Black Black Blue\nYellow Black Blue Black Blue Black Black Black Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Black Orange Purple Purple Black Orange Black Black\nBlue Orange Yellow Purple Black Black Black Black Black Brown\nBlack Purple Yellow Black Black Pink Gray Black Yellow Black\nGreen Orange Green Red Pink Brown Gray Black Red Pink\nBlue Orange Orange Pink Black Black Green Red Blue Black\nBlack Yellow Black Brown Black Black Black Black Yellow Green\nBlack Blue Black Brown Black Brown Black Green Black Pink\nGreen Red Black Brown Brown Black Black Red Blue Orange\nPink Black Brown Black Black Black Black Orange Black Orange\nBlack Black Gray Black Purple Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Blue Black Blue Yellow Yellow Black Blue Black Black\nYellow Blue Yellow Yellow Black Black Black Black Black Blue\nBlack Yellow Yellow Black Black Blue Yellow Black Yellow Black\nBlue Blue Blue Yellow Blue Blue Yellow Black Yellow Blue\nYellow Blue Blue Blue Black Black Blue Yellow Yellow Black\nBlack Yellow Black Blue Black Black Black Black Yellow Blue\nBlack Yellow Black Blue Black Blue Black Blue Black Blue\nBlue Yellow Black Blue Blue Black Black Yellow Yellow Blue\nBlue Black Blue Black Black Black Black Blue Black Blue\nBlack Black Yellow Black Yellow Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Brown Black Black Yellow Black Black Black Black Black Orange Black Green Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Brown Black Black Yellow Black Black Black Black Black Orange Black Green Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Brown Black Black Yellow Black Black Black Black Black Orange Black Green Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Brown Black Black Yellow Black Black Black Black Black Orange Black Green Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Brown Black Black Yellow Black Black Black Black Black Orange Black Green Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Brown Black Black Yellow Black Black Black Black Black Orange Black Green Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Brown Black Black Yellow Black Black Black Black Black Orange Black Green Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Brown Black Black Yellow Black Black Black Black Black Orange Black Green Black\n\nOutput:\nGray Brown Yellow Orange Green\n\n\nExample 2\nInput:\nBlack Purple Black Green Black Black Black Black Black Black Blue Orange Black Black Black Black Black\nBlack Purple Black Green Black Black Black Black Black Black Blue Orange Black Black Black Black Black\nBlack Purple Black Green Black Black Black Black Black Black Blue Orange Black Black Black Black Black\nBlack Purple Black Green Black Black Black Black Black Black Blue Orange Black Black Black Black Black\nBlack Purple Black Green Black Black Black Black Black Black Blue Orange Black Black Black Black Black\nBlack Purple Black Green Black Black Black Black Black Black Blue Orange Black Black Black Black Black\nBlack Purple Black Green Black Black Black Black Black Black Blue Orange Black Black Black Black Black\nBlack Purple Black Green Black Black Black Black Black Black Blue Orange Black Black Black Black Black\nBlack Purple Black Green Black Black Black Black Black Black Blue Orange Black Black Black Black Black\nBlack Purple Black Green Black Black Black Black Black Black Blue Orange Black Black Black Black Black\n\nOutput:\nPurple Green Blue Orange\n\n\nExample 3\nInput:\nBlack Green Pink Black Black Black Purple Black Black Black Red Black Yellow Black Black Brown Orange\nBlack Green Pink Black Black Black Purple Black Black Black Red Black Yellow Black Black Brown Orange\nBlack Green Pink Black Black Black Purple Black Black Black Red Black Yellow Black Black Brown Orange\nBlack Green Pink Black Black Black Purple Black Black Black Red Black Yellow Black Black Brown Orange\nBlack Green Pink Black Black Black Purple Black Black Black Red Black Yellow Black Black Brown Orange\nBlack Green Pink Black Black Black Purple Black Black Black Red Black Yellow Black Black Brown Orange\nBlack Green Pink Black Black Black Purple Black Black Black Red Black Yellow Black Black Brown Orange\nBlack Green Pink Black Black Black Purple Black Black Black Red Black Yellow Black Black Brown Orange\nBlack Green Pink Black Black Black Purple Black Black Black Red Black Yellow Black Black Brown Orange\nBlack Green Pink Black Black Black Purple Black Black Black Red Black Yellow Black Black Brown Orange\nBlack Green Pink Black Black Black Purple Black Black Black Red Black Yellow Black Black Brown Orange\n\nOutput:\nGreen Pink Purple Red Yellow Brown Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Blue Purple Black Gray Pink Black Brown Black Black Red Black Black Black Green Black\nBlack Black Black Black Blue Purple Black Gray Pink Black Brown Black Black Red Black Black Black Green Black\nBlack Black Black Black Blue Purple Black Gray Pink Black Brown Black Black Red Black Black Black Green Black\nBlack Black Black Black Blue Purple Black Gray Pink Black Brown Black Black Red Black Black Black Green Black\nBlack Black Black Black Blue Purple Black Gray Pink Black Brown Black Black Red Black Black Black Green Black\nBlack Black Black Black Blue Purple Black Gray Pink Black Brown Black Black Red Black Black Black Green Black\nBlack Black Black Black Blue Purple Black Gray Pink Black Brown Black Black Red Black Black Black Green Black\nBlack Black Black Black Blue Purple Black Gray Pink Black Brown Black Black Red Black Black Black Green Black\nBlack Black Black Black Blue Purple Black Gray Pink Black Brown Black Black Red Black Black Black Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Purple Gray Pink Brown Red Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Pink Pink\nBlack Pink Pink Black\nBlack Pink Black Black\nBlack Pink Black Black\nPink Pink Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue\nBlue Black Black Pink Pink Blue\nBlue Black Pink Pink Black Blue\nBlue Black Pink Black Black Blue\nBlue Black Pink Black Black Blue\nBlue Pink Pink Black Black Blue\nBlue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nOrange Orange Black Orange Orange\nOrange Orange Black Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Orange Orange Black Orange Orange Blue\nBlue Orange Orange Black Orange Orange Blue\nBlue Orange Orange Orange Orange Orange Blue\nBlue Orange Orange Orange Orange Orange Blue\nBlue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray\nBlack Gray Gray Black Black\nBlack Gray Gray Black Black\nBlack Gray Gray Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Gray Gray Gray Gray Gray Blue\nBlue Black Gray Gray Gray Gray Blue\nBlue Black Gray Gray Black Black Blue\nBlue Black Gray Gray Black Black Blue\nBlue Black Gray Gray Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink\nPink Pink Pink\nBlack Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue\nBlue Pink Pink Pink Blue\nBlue Pink Pink Pink Blue\nBlue Black Pink Black Blue\nBlue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Purple Black Yellow Yellow Yellow\nBlack Black Black Black Black Purple Purple Black Yellow Yellow\nBlack Pink Pink Pink Purple Purple Black Yellow Yellow Yellow\nBlack Pink Pink Pink Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Pink Black Brown Brown Brown\nBlack Black Black Black Pink Pink Pink Brown Brown Brown\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\n\nOutput:\nBlack Black Black Black Black Purple Black Yellow Yellow Yellow\nBlack Black Black Black Black Purple Purple Black Yellow Yellow\nBlack Pink Pink Pink Yellow Purple Black Yellow Yellow Yellow\nBlack Pink Pink Pink Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Pink Black Brown Brown Brown\nBlack Black Black Black Pink Pink Pink Yellow Brown Brown\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black\nBlack Black Orange Black Orange Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Yellow Black\nBlack Black Black Black Red Red Red Yellow Yellow Yellow\nBlack Black Blue Blue Blue Red Black Black Yellow Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black\nBlack Black Orange Green Orange Black Black Black Black Black\nBlack Black Orange Black Orange Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Yellow Black\nBlack Black Black Black Red Red Red Yellow Yellow Yellow\nBlack Black Blue Blue Blue Red Green Black Yellow Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\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\nBrown Brown Brown Black Black Black Yellow Yellow Yellow Black\nBrown Brown Black Black Red Black Black Yellow Black Black\nBrown Black Black Red Red Red Yellow Yellow Yellow Black\nBlack Black Black Black Red Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Gray Black Black Black Black Black Yellow Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Yellow Yellow Yellow Black\nBrown Green Black Black Red Black Black Yellow Black Black\nBrown Black Black Red Red Red Yellow Yellow Yellow Black\nBlack Black Black Black Red Black Green Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Gray Black Black Black Black Black Yellow Black Black\nBlack Gray Green Gray Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black\nBlack Pink Pink Gray Black Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray 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 Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Gray Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black\nBlack Pink Pink Gray Black Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray 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 Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green 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 Black Black Black 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:\nGreen 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\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black 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\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\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 Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nGreen 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\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black 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\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green 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 Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\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 Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown\nBlue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown\nBlue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown\nBlue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Red Red Red Red\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green\nOrange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Red Red Red Red Green Green Green Green Brown Brown Brown Brown\nBrown Brown Brown Brown Red Red Red Red Green Green Green Green Brown Brown Brown Brown\nBrown Brown Brown Brown Red Red Red Red Green Green Green Green Brown Brown Brown Brown\nBrown Brown Brown Brown Red Red Red Red Green Green Green Green Brown Brown Brown Brown\nBlue Blue Blue Blue Orange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown\nBlue Blue Blue Blue Orange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown\nBlue Blue Blue Blue Orange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown\nBlue Blue Blue Blue Orange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Orange Orange Orange Orange\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nOrange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nOrange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nOrange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nGreen Green Green Green Purple Purple Purple Purple Pink Pink Pink Pink Blue Blue Blue Blue\nGreen Green Green Green Purple Purple Purple Purple Pink Pink Pink Pink Blue Blue Blue Blue\nGreen Green Green Green Purple Purple Purple Purple Pink Pink Pink Pink Blue Blue Blue Blue\nGreen Green Green Green Purple Purple Purple Purple Pink Pink Pink Pink Blue Blue Blue Blue\nGreen Green Green Green Orange Orange Orange Orange Blue Blue Blue Blue Orange Orange Orange Orange\nGreen Green Green Green Orange Orange Orange Orange Blue Blue Blue Blue Orange Orange Orange Orange\nGreen Green Green Green Orange Orange Orange Orange Blue Blue Blue Blue Orange Orange Orange Orange\nGreen Green Green Green Orange Orange Orange Orange Blue Blue Blue Blue 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\nRed Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red\nOrange Orange Orange Orange Green Green Green Green Green Green Green Green Orange Orange Orange Orange Red Red Red Red\nOrange Orange Orange Orange Green Green Green Green Green Green Green Green Orange Orange Orange Orange Red Red Red Red\nOrange Orange Orange Orange Green Green Green Green Green Green Green Green Orange Orange Orange Orange Red Red Red Red\nOrange Orange Orange Orange Green Green Green Green Green Green Green Green Orange Orange Orange Orange Red Red Red Red\n\n\nExample 3\nInput:\nGray Gray Gray Gray Brown Brown Brown Brown Yellow Yellow Yellow Yellow Gray Gray Gray Gray Pink Pink Pink Pink\nGray Gray Gray Gray Brown Brown Brown Brown Yellow Yellow Yellow Yellow Gray Gray Gray Gray Pink Pink Pink Pink\nGray Gray Gray Gray Brown Brown Brown Brown Yellow Yellow Yellow Yellow Gray Gray Gray Gray Pink Pink Pink Pink\nGray Gray Gray Gray Brown Brown Brown Brown Yellow Yellow Yellow Yellow Gray Gray Gray Gray Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Blue Blue Blue Blue Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Blue Blue Blue Blue Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Blue Blue Blue Blue Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Blue Blue Blue Blue Gray Gray Gray Gray\nBlue Blue Blue Blue Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange\n\nOutput:\nPink Pink Pink Pink Gray Gray Gray Gray Red Red Red Red Purple Purple Purple Purple Orange Orange Orange Orange\nPink Pink Pink Pink Gray Gray Gray Gray Red Red Red Red Purple Purple Purple Purple Orange Orange Orange Orange\nPink Pink Pink Pink Gray Gray Gray Gray Red Red Red Red Purple Purple Purple Purple Orange Orange Orange Orange\nPink Pink Pink Pink Gray Gray Gray Gray Red Red Red Red Purple Purple Purple Purple Orange Orange Orange Orange\nGray Gray Gray Gray Blue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Blue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Blue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Blue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Brown Brown Brown Brown Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Brown Brown Brown Brown Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Brown Brown Brown Brown Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Brown Brown Brown Brown Purple Purple Purple Purple\nBrown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Pink Pink Pink Pink Red Red Red Red\nBlue Blue Blue Blue Pink Pink Pink Pink Red Red Red Red\nBlue Blue Blue Blue Pink Pink Pink Pink Red Red Red Red\nBlue Blue Blue Blue Pink Pink Pink Pink Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple\nPink Pink Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple\nPink Pink Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple\nPink Pink Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nRed Red Red Red Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nRed Red Red Red Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nRed Red Red Red Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\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 Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\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 Red Blue Black Black Red Black Blue Black\nBlack Black Black Black Black Red Black Black Black Red Blue Black Black\nBlack Black Black Black Black Red Black Black Black Blue Black Black Black\nGreen Green Green Green Green Green Green Green Blue Green Green Green Blue\nBlack Black Black Black Black Red Black Blue Black Red Black Blue Blue\nGreen Green Green Green Green Green Blue Green Green Green Blue Blue Green\nBlack Black Black Black Black Blue Black Black Black Blue Blue Black Black\nBlack Black Black Black Blue Red Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Red Black Blue Blue Red Black Black Black\nBlack Black Black Black Black Red Blue Blue Black Red Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Red 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 Blue Black Black Black\nBlack Green Black Black Black Black Black Blue Black Black Black Black\nRed Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\n\nOutput:\nRed Black Red Black Black Black Black Black Black Blue Red Black\nRed Black Red Black Black Black Black Black Blue Black Red Black\nGreen Green Green Green Green Green Green Blue Green Green Green Green\nRed Black Red Black Black Black Black Black Black Black Red Black\nRed Black Red Black Black Black Black Black Black Black Red Black\nGreen Green Green Green Green Green Green Green Green Green Green Green\nRed Black Red Black Black Black Black Black Black Black Red Black\nRed Black Red Black Black Black Black Black Black Black Red Blue\nRed Black Red Black Black Black Black Black Black Black Blue Black\nRed Black Red Black Black Black Black Black Black Blue Red Black\nGreen Green Green Green Green Green Green Green Blue Green Green Green\nRed Black Red Black Black Black Black Black Black Black Red Black\nRed Black Red Black Black Black Black Black Black Black Red Blue\nRed Black Red Black Black Black Black Black Black Black Blue Black\nRed Black Red Black Black Black Black Black Black Blue Red Black\n\n\nExample 3\nInput:\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black Black Blue\nGreen Blue Green Green Green Green Green Green Green Green Blue Green\nBlack Black Black Red Black Black Black Black Black Blue Black Blue\nBlack Black Black Red Black Black Black Black Black Black Blue Black\nBlack Black Black Red Black Black Black Black Black Blue Black Black\nBlack Black Black Red Black Black Black Black Blue Black Black Blue\nBlack Black Black Red Black Black Black Blue Black Black Blue Black\nBlack Black Black Red Black Black Blue Black Black Blue Black Black\nBlack Black Black Red Black Black Black Black Blue Black Black Black\nBlack Black Black Red Black Black Black Blue Black Black Black Black\nBlack Black Black Red Black Black Blue Black Black Black Black Black\nBlack Black Black Red Black Blue Black Black Black Black Black Black\nBlack Black Black Red Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red 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 Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Red Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Red Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Red Black Black Black Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Blue Green\nBlack Black Red Black Black Black Black Black Black Red Black Blue Black Black\nBlack Black Red Black Black Black Black Black Black Red Blue Black Black Black\nBlack Black Red Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Red Black Black Black Black Black Blue Red Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Black Green Orange Purple Black Black Gray\nBrown Black Purple Yellow Black Black Black Black\nBlack Orange Green Black Black Black Purple Black\nPink Blue Purple Orange Black Black Orange Yellow\nBrown Black Black Black Black Black Black Blue\nBlack Yellow Black Pink Black Black Orange Black\nBlack Black Black Black Pink Red Black Black\nOrange Black Black Black Black Black Black Purple\n\nOutput:\nPink Red Red Gray Yellow Red Red Brown\nRed Red Brown Purple Red Purple Red Red\nRed Red Red Red Red Red Green Red\nBrown Red Red Red Red Red Orange Red\nPurple Gray Red Purple Red Orange Red Red\nBlue Brown Blue Brown Red Red Red Red\nRed Red Purple Yellow Red Gray Red Red\nOrange Black Red Orange Black Red Red Purple\n\n\nExample 2\nInput:\nBlack Brown Black Black Pink Black Black\nRed Brown Yellow Black Black Black Black\nBlack Black Black Black Black Brown Black\nRed Purple Orange Blue Black Black Red\nBrown Black Black Purple Yellow Black Brown\nBlack Orange Black Black Black Purple Black\nBlack Black Purple Gray Black Yellow Pink\n\nOutput:\nRed Red Red Green Black Red Orange\nRed Red Black Red Red Brown Gray\nOrange Red Red Red Gray Red Red\nRed Red Red Yellow Brown Red Pink\nRed Gray Red Purple Red Red Brown\nBlack Black Red Brown Red Purple Red\nRed Green Red Green Black Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Orange Brown Black\nBlack Yellow Orange Black Brown Black Black\nBlack Black Black Black Blue Black Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Black Blue\nPink Brown Black Black Black Black Purple\nGray Black Black Black Black Gray Red\nBlack Black Brown Black Black Brown Black\n\nOutput:\nRed Red Red Red Red Yellow Brown Green Red\nBlack Red Red Red Pink Red Red Pink Black\nPurple Black Yellow Gray Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Purple Red Red Red Red Red Red Black\nRed Gray Red Red Red Red Black Red Red\nRed Red Red Red Red Red Orange Pink Red\n\n\nHere is the input grid for the test example:\nInput:\nGray Orange Black Black Blue Black Orange Pink Blue\nBlack Black Black Purple Black Black Black Black Gray\nBlack Purple Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Red Gray Pink Black\nBlue Black Purple Black Purple Black Gray Black Black\nBlack Black Black Black Yellow Black Black Black Black\nGray Gray Red Brown Blue Orange Black Black Black\nBlack Black Green Black Orange Brown Brown Pink Black\nBlack Pink Black Black Black Black Black 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```\nYellow Pink Red Red Red Red Red Red Green\nOrange Red Red Orange Red Red Red Orange Brown\nPurple Red Gray Pink Pink Red Red Black Red\nRed Red Red Green Red Red Purple Black Red\nYellow Red Gray Red Brown Gray Yellow Purple Red\nRed Brown Red Red Red Red Black Red Red\nRed Red Red Red Brown Red Green Blue Red\nPurple Red Brown Red Red Red Pink Red Orange\nPink Red Red Red Yellow Red Pink 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 Yellow Yellow\nYellow Black Black Yellow Black\nYellow Yellow Yellow Black Yellow\nBlack Yellow Yellow Black Yellow\nBlack Black Black Black Black\nBlack Yellow Yellow Yellow Black\nYellow Yellow Black Black Yellow\nBlue Blue Blue Blue Blue\nYellow Black Yellow Black Yellow\nYellow Black Yellow Yellow Yellow\nYellow Yellow Black Yellow Black\nYellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Black Yellow\nYellow Yellow Yellow Black Yellow\n\nOutput:\nBlack Black Black Green Black\nBlack Black Black Black Black\nBlack Black Green Black Green\nBlack Black Green Black Green\nBlack Black Black Black Black\nBlack Black Black Green Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nYellow Black Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow\nYellow Black Black Yellow Yellow Yellow Black\nYellow Black Yellow Yellow Yellow Black Black\nBlue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Black Yellow\nYellow Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow\nYellow Black Yellow Black Black Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Green Black\nBlack Black Black Black Black Black Black\nGreen Black Black Green Black Black Black\nBlack Black Black Green Green Black Black\n\n\nExample 3\nInput:\nYellow Black Black Black Black Yellow Yellow Black\nBlack Yellow Black Yellow Black Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Black Black Black Black Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue\nYellow Black Yellow Black Black Yellow Yellow Black\nYellow Black Black Black Black Yellow Yellow Black\nYellow Black Yellow Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Green Black Green Black Black Black Green\nBlack Black Black Green Green Black Black Black\nBlack Black Green Black Black Black Black Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Yellow Black Yellow Black\nYellow Black Black Yellow Yellow Yellow\nBlack Black Black Black Yellow Black\nYellow Black Black Yellow Black Black\nBlack Yellow Black Yellow Yellow Black\nYellow Yellow Black Yellow Yellow Black\nBlue Blue Blue Blue Blue Blue\nBlack Black Yellow Black Yellow Yellow\nYellow Yellow Black Black Black Black\nYellow Black Black Yellow Black Yellow\nYellow Black Black Yellow Yellow Black\nBlack Black Black Yellow Black Yellow\nYellow Black Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Green Black Black Black Black\nBlack Black Black Green Green Green\nBlack Black Black Black Green Black\nBlack Black Black Black Black Black\nBlack Green Black Black Green Black\nBlack Green 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 Brown Brown Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Red Red Red Black Black\nBlack Brown Brown Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Orange Orange Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Purple Purple Purple Black Black\nBlack Orange Orange Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Green Green Green Black Black Green Green 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 Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBrown Black Black Black Black Black Black Black Yellow Yellow\nBrown Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Pink Pink Black\nBlack Black Pink Pink Pink Black Black Pink Pink Black\nBlack Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nOrange Black Black Black Black Black Black Black Blue Blue\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Gray 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 Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Red Red Black\nBlack Black Gray Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black Black\n\nOutput:\nBlack Gray 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 Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Purple Purple Black\nBlack Black Gray Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Orange Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow 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 Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow 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 Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\n\nOutput:\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nPurple Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nPurple Purple Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nPurple Purple Purple Yellow Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nPurple Purple Purple Purple Yellow Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nPurple Purple Purple Purple Purple Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Yellow Black Black Black Black Yellow Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Yellow Black Black Yellow Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow\n\n\nExample 2\nInput:\nPink Black Black Black Black Black Orange\nBlack Pink Black Black Black Black Black\nBlack Black Pink Black Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Black Black Pink Black\nBlack Black Black Black Black Black Pink\n\nOutput:\nPink Black Black Black Black Black Pink\nOrange Pink Black Black Black Pink Black\nOrange Orange Pink Black Pink Black Black\nOrange Orange Orange Pink Black Black Black\nOrange Orange Orange Orange Pink Black Black\nOrange Orange Orange Orange Orange Pink Black\nOrange Orange Orange Orange Orange Orange Pink\n\n\nExample 3\nInput:\nOrange Black Black Black Black Black Gray\nBlack Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Black Black Orange\n\nOutput:\nOrange Black Black Black Black Black Orange\nGray Orange Black Black Black Orange Black\nGray Gray Orange Black Orange Black Black\nGray Gray Gray Orange Black Black Black\nGray Gray Gray Gray Orange Black Black\nGray Gray Gray Gray Gray Orange Black\nGray Gray Gray Gray Gray Gray Orange\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black Black Pink\nBlack Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black Black Black Black Black Black Black Gray\nPink Gray Black Black Black Black Black Gray Black\nPink Pink Gray Black Black Black Gray Black Black\nPink Pink Pink Gray Black Gray Black Black Black\nPink Pink Pink Pink Gray Black Black Black Black\nPink Pink Pink Pink Pink Gray Black Black Black\nPink Pink Pink Pink Pink Pink Gray Black Black\nPink Pink Pink Pink Pink Pink Pink Gray Black\nPink Pink Pink Pink Pink Pink Pink Pink Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Black Black Black Blue Black Black Green Green\nRed Black Blue Black Blue Green Black Black Green Green\nRed Black Black Blue Black Green Black Black Green Green\nRed Black Blue Black Blue Green Black Black Green Green\nRed Blue Black Black Black Blue Black Black Green Green\nRed Black Black Black Black Green Blue Black Green Green\nRed Black Black Black Black Green Black Black Green Green\nRed Red Red Red Red Red Red Red Red Red\nRed Black Black Black Black Green Black Black Green Green\nRed Black Black Black Black Green Black Black Green Green\n\n\nExample 2\nInput:\nBlack Black Black Blue Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Red Black Green Black Black Black Black Red Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\n\nOutput:\nRed Red Green Blue Green Black Green Green Red Black\nRed Red Blue Red Blue Black Green Green Red Black\nRed Red Green Red Green Blue Green Green Red Black\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Green Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Green Red Green Black Green Green Red Black\nRed Red Red Red Red Red Red Red Red Red\nRed Red Green Red Green Black Green Green Red Black\nRed Red Green Green Green Black Green Green Red Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Red Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Green Black Black Red Red Black Black Black\nGreen Black Green Black Black Red Red Black Black Black\nGreen Black Green Black Black Red Red Black Black Black\nGreen Black Green Black Black Red Red Black Black Black\nGreen Black Green Black Black Red Red Black Black Black\nGreen Black Green Black Black Red Red Black Black Blue\nRed Red Red Red Red Red Red Red Red Red\nGreen Black Green Black Black Red Red Blue Black Black\nRed Red Red Red Red Red Red Red Red Red\nGreen Black Green Black Black Red Red Black Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Green Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Green Blue Black Red Green Black Black Black Black\nBlack Blue Green Black Red Green Black Black Black Black\nBlue Green Blue Black Red Green Black Black Black Black\nBlack Green Green Black Red Green Black Black Black Black\nBlack Green Green Black Red Green Black Black Black Black\nBlack Green Green Black Red Green Black Black Black Black\nBlack Green Green Black Red Green Black Black Black Black\nRed Red Red Red Red Green Red Red Red Red\nBlack Green Green Black Red Green Black Black Black Black\nBlack Green Green Black Red Green 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\nOrange Orange Gray Purple Brown Brown Black Black Black Black Black\nPink Orange Blue Blue Green Green Black Black Black Black Black\nBlue Blue Blue Pink Brown Green Black Black Black Black Black\nBlue Gray Gray Brown Yellow Blue Black Black Black Black Black\nBlue Blue Gray Blue Orange Red Black Black Black Black Black\nYellow Yellow Gray Blue Blue Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Gray Purple Brown Brown Brown Brown Purple Gray Orange Orange\nPink Orange Blue Blue Green Green Green Green Blue Blue Orange Pink\nBlue Blue Blue Pink Brown Green Green Brown Pink Blue Blue Blue\nBlue Gray Gray Brown Yellow Blue Blue Yellow Brown Gray Gray Blue\nBlue Blue Gray Blue Orange Red Red Orange Blue Gray Blue Blue\nYellow Yellow Gray Blue Blue Brown Brown Blue Blue Gray Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Red Brown Brown Gray Yellow\nBlack Black Black Black Black Black Gray Orange Brown Gray Yellow\nBlack Black Black Black Black Black Gray Yellow Green Green Green\nBlack Black Black Black Black Black Purple Brown Blue Pink Yellow\nBlack Black Black Black Black Black Orange Purple Blue Pink Pink\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\n\nOutput:\nRed Brown Brown Gray Yellow Yellow Gray Brown Brown Red\nGray Orange Brown Gray Yellow Yellow Gray Brown Orange Gray\nGray Yellow Green Green Green Green Green Green Yellow Gray\nPurple Brown Blue Pink Yellow Yellow Pink Blue Brown Purple\nOrange Purple Blue Pink Pink Pink Pink Blue Purple Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Purple Brown Orange Purple Yellow Black\nBlack Black Black Brown Brown Blue Blue Blue Blue Yellow Black\nBlack Black Black Brown Pink Pink Yellow Yellow Pink Blue Black\nBlack Black Black Gray Brown Orange Orange Red Gray Gray Black\nBlack Black Black Blue Blue Yellow Brown Green Blue Gray 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:\nOrange Orange Purple Brown Orange Purple Yellow Yellow Purple Orange Brown Purple Orange Orange\nBrown Brown Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Brown Brown\nBrown Pink Pink Yellow Yellow Pink Blue Blue Pink Yellow Yellow Pink Pink Brown\nGray Brown Orange Orange Red Gray Gray Gray Gray Red Orange Orange Brown Gray\nBlue Blue Yellow Brown Green Blue Gray Gray Blue Green Brown Yellow Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Pink Orange Orange Gray Blue Purple Black Black Black Black Black Black Black Black\nPink Pink Orange Yellow Yellow Purple Purple Black Black Black Black Black Black Black Black\nRed Pink Pink Yellow Yellow Blue Purple Black Black Black Black Black Black Black Black\nRed Green Pink Pink Pink Pink Blue Black Black Black Black Black Black Black Black\nOrange Green Green Purple Pink Pink Blue Black Black Black Black Black Black Black Black\nOrange Purple Gray Pink Orange Blue Yellow Black Black Black Black Black Black Black Black\nGreen Red Purple Pink Orange Red Red Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Pink Orange Orange Gray Blue Purple Purple Blue Gray Orange Orange Pink Brown\nPink Pink Orange Yellow Yellow Purple Purple Purple Purple Yellow Yellow Orange Pink Pink\nRed Pink Pink Yellow Yellow Blue Purple Purple Blue Yellow Yellow Pink Pink Red\nRed Green Pink Pink Pink Pink Blue Blue Pink Pink Pink Pink Green Red\nOrange Green Green Purple Pink Pink Blue Blue Pink Pink Purple Green Green Orange\nOrange Purple Gray Pink Orange Blue Yellow Yellow Blue Orange Pink Gray Purple Orange\nGreen Red Purple Pink Orange Red Red Red Red Orange Pink Purple Red Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Orange Black Black Green Orange Black Purple Black Pink Yellow\nBlack Purple Black Black Orange Black Black Black Yellow Black Blue Orange\nPurple Black Black Pink Black Orange Black Yellow Orange Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black\nGray Black Black Orange Black Orange Purple Black Black Black Red Black\nBlack Blue Black Black Black Purple Black Black Black Yellow Black Black\nOrange Black Black Black Brown Black Orange Black Black Pink Black Black\nBlack Black Black Black Black Black Red Pink Black Pink Red Yellow\n\nOutput:\nBlue Blue Orange Blue Blue Gray Orange Blue Purple Blue Pink Blue\nBlue Purple Blue Blue Orange Blue Blue Blue Blue Blue Red Orange\nPurple Blue Blue Pink Blue Orange Blue Blue Orange Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue\nGray Blue Blue Orange Blue Orange Purple Blue Blue Blue Red Blue\nBlue Red Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue\nOrange Blue Blue Blue Brown Blue Orange Blue Blue Pink Blue Blue\nBlue Blue Blue Blue Blue Blue Red Pink Blue Pink Red Blue\n\n\nExample 2\nInput:\nBlack Blue Black Black Black Gray Black Black Black Black\nBlack Yellow Black Pink Black Black Purple Black Brown Brown\nPurple Blue Black Black Black Purple Black Black Black Black\nBlack Black Black Yellow Black Black Black Pink Gray Black\nRed Black Black Black Yellow Purple Black Black Brown Black\nBlack Black Blue Black Black Black Black Pink Green Black\nBlack Black Black Black Black Black Green Pink Green Black\n\nOutput:\nBlue Red Blue Blue Blue Gray Blue Blue Blue Blue\nBlue Blue Blue Pink Blue Blue Purple Blue Brown Brown\nPurple Red Blue Blue Blue Purple Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Pink Gray Blue\nRed Blue Blue Blue Blue Purple Blue Blue Brown Blue\nBlue Blue Red Blue Blue Blue Blue Pink Gray Blue\nBlue Blue Blue Blue Blue Blue Gray Pink Gray Blue\n\n\nExample 3\nInput:\nBlack Black Yellow Black Black Gray Pink Blue Black Red Black\nBlack Black Black Black Orange Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Yellow Black Black Black Black Orange Black\nBlack Black Gray Black Black Gray Black Black Purple Black Black\nBlack Black Black Black Black Green Black Black Black Black Black\nBrown Black Gray Black Black Black Yellow Green Yellow Brown Black\n\nOutput:\nBlue Blue Blue Blue Blue Gray Pink Red Blue Red Blue\nBlue Blue Blue Blue Orange Blue Blue Blue Brown Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Brown Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Blue\nBlue Blue Gray Blue Blue Gray Blue Blue Purple Blue Blue\nBlue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue\nBrown Blue Gray Blue Blue Blue Blue Gray Blue Brown Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray Gray Black Black Black Black Gray\nBlue Black Black Black Black Black Purple Black Orange\nBlack Green Black Black Black Black Black Black Black\nBrown Black Black Black Black Purple Black Black Green\nBlack Blue Black Black Yellow Black Blue Black Black\nRed Black Black Black Black Orange Black Black Black\nGray Yellow Black Orange Black Brown Black Black Black\nRed Black Black Black Black Black Black Black Black\nBlack Gray Blue Purple Pink Black Black Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Gray Gray Blue Blue Blue Blue Gray\nRed Blue Blue Blue Blue Blue Purple Blue Orange\nBlue Gray Blue Blue Blue Blue Blue Blue Blue\nBrown Blue Blue Blue Blue Purple Blue Blue Gray\nBlue Red Blue Blue Blue Blue Red Blue Blue\nRed Blue Blue Blue Blue Orange Blue Blue Blue\nGray Blue Blue Orange Blue Brown Blue Blue Blue\nRed Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Gray Red Purple Pink Blue Blue Blue Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Blue Gray\n\nOutput:\nGreen Black Gray\n\n\nExample 2\nInput:\nBrown Purple Red Gray\n\nOutput:\nBrown Black Black Gray\n\n\nExample 3\nInput:\nPurple Green Red Brown\n\nOutput:\nPurple Black Black Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlue Orange Green Red Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Black Black Pink\n```",
"role": "assistant"
}
] |