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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 Purple Purple Black Black Black Black Brown Brown Brown Brown\nBlack Black Purple Purple Black Black Black Black Brown Brown Brown Brown\nBlack Black Purple Purple Purple Purple Black Black Brown Brown Brown Brown\nBlack Black Purple Purple Purple Purple Black Black Brown Brown Brown Brown\nBlack Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Orange Orange Orange Orange Black Black Yellow Yellow\nBlack Black Black Black Orange Orange Orange Orange Black Black Yellow Yellow\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black 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 Black 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 Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Black Black Yellow Yellow Black Black Yellow Yellow\nBrown Brown Brown Brown Black Black Yellow Yellow Black Black Yellow Yellow\nBrown Brown Brown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange 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"
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"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Pink Blue Blue Black Pink Pink Pink\nYellow Pink Blue Blue Red Red Red Black\nYellow Pink Black Black Red Red Red Black\nRed Red Red Black Black Yellow Yellow Yellow\nRed Red Red Blue Black Yellow Yellow Yellow\nRed Red Red Blue Black Black Black Yellow\nPink Pink Pink Blue Blue Blue Blue Yellow\nPink Pink Pink Black Black Black Black Yellow\n\nOutput:\nGreen Green Green Green Black Green Green Green\nGreen Green Green Green Green Green Green Black\nGreen Green Black Black Green Green Green Black\nGreen Green Green Black Black Green Green Green\nGreen Green Green Green Black Green Green Green\nGreen Green Green Green Black Black Black Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Black Green\n\n\nExample 2\nInput:\nBlack Red Red Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Pink Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Black Yellow Blue Black Black\nBlack Black Black Yellow Yellow Yellow Black\n\nOutput:\nBlack Green Green Black Black Black Black\nBlack Green Green Black Black Black Black\nBlack Green Green Black Black Black Black\nBlack Green Black Green Green Green Black\nBlack Black Green Green Green Black Black\nBlack Black Black Green Green Black Black\nBlack Black Black Green Green Green Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Pink Pink Black Black\nRed Red Black Black Black Black Pink Pink Black\nRed Red Black Black Black Blue Blue Blue Black\nRed Red Black Black Blue Blue Black Yellow Yellow\nPink Pink Black Black Blue Blue Black Yellow Yellow\nPink Pink Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Green Green Black Black\nGreen Green Black Black Black Black Green Green Black\nGreen Green Black Black Black Green Green Green Black\nGreen Green Black Black Green Green Black Green Green\nGreen Green Black Black Green Green Black Green Green\nGreen Green Black Black Black Black Black Green Green\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 Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Pink Pink Black Blue Black Black\nBlack Black Black Red Black Black Blue Black Black\nBlack Black Black Red Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black\nBlack Black Black Red Black Black Black Black Black\nBlue Black Black Red Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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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\nBlack Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Green Green Black Black\nBlack Black Black Green Green Black Green Black Black\nBlack Black Black Green Black Black Green Black Black\nBlack Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black\nBlack Black Black Green Black Black Black Black Black\nGreen Black Black Green Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Gray Gray Gray\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Red Red Red Black Black Black Purple Purple Purple Yellow Yellow Yellow Green Green Green Blue Blue Blue Black Black Black Black Black Black\nOrange Orange Orange Red Red Red Black Black Black Purple Purple Purple Yellow Yellow Yellow Green Green Green Blue Blue Blue Black Black Black Black Black Black\nOrange Orange Orange Red Red Red Black Black Black Purple Purple Purple Yellow Yellow Yellow Green Green Green Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Purple Purple Purple Orange Orange Orange Green Green Green Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Purple Purple Purple Orange Orange Orange Green Green Green Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Purple Purple Purple Orange Orange Orange Green Green Green Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Red Red Red Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPurple Purple Purple Red Red Red Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPurple Purple Purple Red Red Red Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\n\nOutput:\nPurple Purple Purple Red Red Red Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPurple Purple Purple Red Red Red Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPurple Purple Purple Red Red Red Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Purple Purple Purple Orange Orange Orange Green Green Green Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Purple Purple Purple Orange Orange Orange Green Green Green Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Purple Purple Purple Orange Orange Orange Green Green Green Black Black Black\nOrange Orange Orange Red Red Red Black Black Black Purple Purple Purple Yellow Yellow Yellow Green Green Green Blue Blue Blue Black Black Black Black Black Black\nOrange Orange Orange Red Red Red Black Black Black Purple Purple Purple Yellow Yellow Yellow Green Green Green Blue Blue Blue Black Black Black Black Black Black\nOrange Orange Orange Red Red Red Black Black Black Purple Purple Purple Yellow Yellow Yellow Green Green Green Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Gray Gray Gray\n\n\nExample 2\nInput:\nGreen Green Green Blue Blue Blue Brown Brown Brown Pink Pink Pink Orange Orange Orange Brown Brown Brown\nGreen Green Green Blue Blue Blue Brown Brown Brown Pink Pink Pink Orange Orange Orange Brown Brown Brown\nGreen Green Green Blue Blue Blue Brown Brown Brown Pink Pink Pink Orange Orange Orange Brown Brown Brown\nBlack Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Brown Brown Brown\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red\nPurple Purple Purple Gray Gray Gray Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nPurple Purple Purple Gray Gray Gray Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nPurple Purple Purple Gray Gray Gray Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Pink Pink Pink Red Red Red\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Pink Pink Pink Red Red Red\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Pink Pink Pink Red Red Red\nPink Pink Pink Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nPink Pink Pink Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nPink Pink Pink Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nPink Pink Pink Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Black Black Black\nPink Pink Pink Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Black Black Black\nPink Pink Pink Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Black Black Black\n\nOutput:\nPink Pink Pink Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Black Black Black\nPink Pink Pink Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Black Black Black\nPink Pink Pink Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Black Black Black\nPink Pink Pink Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nPink Pink Pink Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nPink Pink Pink Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Pink Pink Pink Red Red Red\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Pink Pink Pink Red Red Red\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Pink Pink Pink Red Red Red\nPurple Purple Purple Gray Gray Gray Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nPurple Purple Purple Gray Gray Gray Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nPurple Purple Purple Gray Gray Gray Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Brown Brown Brown\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black\nGreen Green Green Blue Blue Blue Brown Brown Brown Pink Pink Pink Orange Orange Orange Brown Brown Brown\nGreen Green Green Blue Blue Blue Brown Brown Brown Pink Pink Pink Orange Orange Orange Brown Brown Brown\nGreen Green Green Blue Blue Blue Brown Brown Brown Pink Pink Pink Orange Orange Orange Brown Brown Brown\n\n\nExample 3\nInput:\nYellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Green Green Green\nYellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Green Green Green\nYellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Green Green Green\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Orange Orange Orange Gray Gray Gray\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Orange Orange Orange Gray Gray Gray\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Orange Orange Orange Gray Gray Gray\nPink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink\nRed Red Red Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue\nRed Red Red Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue\nRed Red Red Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black\nPurple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black\nPurple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Blue Blue Blue Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Blue Blue Blue Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Blue Blue Blue Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black\n\nOutput:\nBlack Black Black Blue Blue Blue Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Blue Blue Blue Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Blue Blue Blue Brown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Red Red Red\nPurple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black\nPurple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black\nPurple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue\nRed Red Red Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue\nRed Red Red Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue\nPink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Orange Orange Orange Gray Gray Gray\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Orange Orange Orange Gray Gray Gray\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Orange Orange Orange Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Green Green Green\nYellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Green Green Green\nYellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Red Red Red Purple Purple Purple Red Red Red Purple Purple Purple Pink Pink Pink Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Red Red Red Purple Purple Purple Red Red Red Purple Purple Purple Pink Pink Pink Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Red Red Red Purple Purple Purple Red Red Red Purple Purple Purple Pink Pink Pink Gray Gray Gray\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue\nBrown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Brown Brown Brown Purple Purple Purple Black Black Black\nBrown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Brown Brown Brown Purple Purple Purple Black Black Black\nBrown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black\nGray Gray Gray Black Black Black Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue 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"
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"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Black Black Black Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Black Black Black Gray Gray Gray\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Brown Brown Brown Purple Purple Purple Black Black Black\nBrown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Brown Brown Brown Purple Purple Purple Black Black Black\nBrown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Red Red Red Purple Purple Purple Red Red Red Purple Purple Purple Pink Pink Pink Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Red Red Red Purple Purple Purple Red Red Red Purple Purple Purple Pink Pink Pink Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Red Red Red Purple Purple Purple Red Red Red Purple Purple Purple Pink Pink Pink Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple\nYellow Yellow Black Black Black Black Black Purple Purple\nYellow Yellow Yellow Black Black Black Orange Orange Black\nYellow Yellow Yellow Black Black Orange Orange Orange Orange\nYellow Yellow Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Black Black Black\nBlack Black Black Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Yellow Yellow Blue Blue Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Orange Orange Pink Pink Black Black\nBlack Black Orange Orange Orange Orange Black Black Black\nBlack Black Orange Blue Blue Orange Black Black Black\nBlack Yellow Yellow Blue Blue Blue Black Black Black\nYellow Yellow Yellow Blue Blue Blue Black Black Black\nYellow Yellow Yellow Yellow Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Brown Brown Black Gray Gray\nBlack Black Black Black Brown Brown Black Gray Gray\nBlack Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Orange Orange 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 Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Brown Brown Yellow Gray Gray\nBlack Black Black Brown Brown Brown Gray Gray Gray\nBlack Black Black Brown Brown Orange Orange Gray Gray\nBlack Black Black Black Orange Orange Orange Orange Gray\nBlack Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Orange Orange 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\nPink Pink Black Black Black Black Black Gray Gray\nPink Pink Black Black Black Black Black Gray Gray\nBlack Black Black 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```\nPink Pink Black Black Black Black Black Gray Gray\nPink Pink Pink Black Black Black Gray Gray Gray\nPink Pink Pink Black Black Black Gray Gray Gray\nPink Pink Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Green Green Green\nGreen Black Blue Blue Blue Blue Black Green Green Green\nGreen Black Blue Blue Blue Blue Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Orange Orange Orange\nOrange Black Purple Purple Purple Purple Black Orange Orange Orange\nOrange Black Purple Purple Purple Purple Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Green Green Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Green Green Black Black Black\nBlack Black Green Green 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\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Orange Orange\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 Yellow Yellow Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow 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\nYellow Yellow Yellow Yellow Black Black Green Green Green Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Red Red Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Orange Orange Orange Black\nPurple Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Orange Orange Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Black Blue Black Red Red Red Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Black Black Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Yellow Black Yellow Black Orange Orange Orange Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Yellow Yellow\nOrange Orange Orange Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow 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 Red Red Red Red Red Red Red Red Red Red Yellow Yellow Red Red Blue Blue Blue Blue Blue Blue Red Red Blue Blue\nBlue Blue Red Red Red Red Red Red Red Red Red Red Yellow Yellow Red Red Blue Blue Blue Blue Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Yellow Yellow Blue Blue Red Red Blue Blue Blue Blue Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Yellow Yellow Blue Blue Red Red Blue Blue Blue Blue Blue Blue Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Red Red Yellow Yellow Red Red Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Red Red Yellow Yellow Red Red Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Red Red Red Red Yellow Yellow Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Red Red Blue Blue Red Red Red Red Yellow Yellow Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Red Red Red Red Blue Blue Yellow Yellow Blue Blue Blue Blue Red Red Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Red Red Red Red Blue Blue Yellow Yellow Blue Blue Blue Blue Red Red Blue Blue Blue Blue Blue Blue\n\nOutput:\nGreen Green Green Green Green Green Green Green Black Black Green Green\nGreen Green Green Green Green Green Green Green Black Black Green Green\nGreen Green Green Green Green Green Black Black Green Green Green Green\nGreen Green Green Green Green Green Black Black Green Green Green Green\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black\n\n\nExample 2\nInput:\nBlue Blue Red Red Red Red Blue Blue Red Red Blue Blue Yellow Yellow Blue Blue Red Red Blue Blue Red Red Red Red Red Red\nBlue Blue Red Red Red Red Blue Blue Red Red Blue Blue Yellow Yellow Blue Blue Red Red Blue Blue Red Red Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Red Red Blue Blue Yellow Yellow Red Red Red Red Red Red Red Red Blue Blue Red Red\nBlue Blue Blue Blue Red Red Red Red Red Red Blue Blue Yellow Yellow Red Red Red Red Red Red Red Red Blue Blue Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Blue Blue Red Red Blue Blue Blue Blue Blue Blue Yellow Yellow Red Red Blue Blue Red Red Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Blue Blue Blue Blue Yellow Yellow Red Red Blue Blue Red Red Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Yellow Yellow Red Red Blue Blue Red Red Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Yellow Yellow Red Red Blue Blue Red Red Red Red Blue Blue Red Red\n\nOutput:\nBlack Black Black Black Green Green Green Green Black Black Green Green\nBlack Black Black Black Green Green Green Green Black Black Green Green\nGreen Green Green Green Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black Green Green\nBlack Black Black Black Black Black Green Green Black Black Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green\n\n\nExample 3\nInput:\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Red Red Yellow Yellow Red Red Blue Blue Red Red Blue Blue Blue Blue Blue Blue\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Red Red Yellow Yellow Red Red Blue Blue Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Yellow Yellow Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Yellow Yellow Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Blue Blue Red Red Red Red Red Red Yellow Yellow Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red\nRed Red Red Red Blue Blue Red Red Red Red Red Red Yellow Yellow Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red\nBlue Blue Blue Blue Blue Blue Red Red Red Red Blue Blue Yellow Yellow Blue Blue Blue Blue Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Red Red Red Red Blue Blue Yellow Yellow Blue Blue Blue Blue Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Yellow Yellow Blue Blue Blue Blue Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Yellow Yellow Blue Blue Blue Blue Red Red Red Red Red Red Red Red\n\nOutput:\nBlack Black Black Black Green Green Black Black Black Black Green Green\nBlack Black Black Black Green Green Black Black Black Black Green Green\nBlack Black Green Green Green Green Green Green Black Black Green Green\nBlack Black Green Green Green Green Green Green Black Black Green Green\nBlack Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Green Green\nBlack Black Black Black Green Green Black Black Black Black Green Green\nBlack Black Black Black Green Green Green Green Black Black Green Green\nBlack Black Black Black Green Green Green Green Black Black Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Red Red Red Red Red Red Blue Blue Blue Blue Yellow Yellow Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Red Red Red Red Red Red Blue Blue Blue Blue Yellow Yellow Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Blue Blue Red Red Red Red Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue\nRed Red Blue Blue Red Red Red Red Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue\nBlue Blue Red Red Red Red Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Red Red Blue Blue Blue Blue Red Red\nBlue Blue Red Red Red Red Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Red Red Blue Blue Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Blue Blue Yellow Yellow Red Red Blue Blue Red Red Red Red Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Blue Blue Yellow Yellow Red Red Blue Blue Red Red Red Red Red Red Blue Blue\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red Yellow Yellow Blue Blue Red Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red Yellow Yellow Blue Blue Red Red Blue Blue Blue Blue Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black\nGreen Green Black Black Black Black Black Black Green Green Black Black\nGreen Green Black Black Black Black Black Black Green Green Black Black\nBlack Black Green Green Black Black Black Black Black Black Green Green\nBlack Black Green Green Black Black Black Black Black Black Green Green\nGreen Green Green Green Green Green Black Black Green Green Black Black\nGreen Green Green Green Green Green Black Black Green Green Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack 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 Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow 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 Yellow 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 Yellow 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack 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 Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack 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 Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green 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 Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green 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 Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Red Red Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Red Red Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue 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 Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Yellow Yellow Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Red Red Red Red Yellow Yellow Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Red Red Red Red Yellow Yellow Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Red Red Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Blue Blue Blue Blue Red Red Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Blue Blue Blue Blue Red Red Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nDirectly provide the output grids corresponding to the given test input grids, based 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 Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Yellow Red Red\nBlack Black Black Black Yellow Brown Yellow Yellow Brown\nBlack Black Black Black Yellow Brown Yellow Yellow Brown\nBlack Black Black Black Red Red Yellow Red Red\nYellow Red Red Yellow Red Red Yellow Red Red\nYellow Yellow Brown Yellow Yellow Brown Yellow Yellow Brown\nYellow Yellow Brown Yellow Yellow Brown Yellow Yellow Brown\nYellow Red Red Yellow Red Red Yellow Red Red\nYellow Red Red Yellow Red Red Yellow Red Red\nYellow Yellow Brown Yellow Yellow Brown Yellow Yellow Brown\nYellow Yellow Brown Yellow Yellow Brown Yellow Yellow Brown\nYellow Red Red Yellow Red Red Yellow Red Red\n\nOutput:\nYellow Red Red Yellow\nYellow Yellow Brown Yellow\nYellow Yellow Brown Yellow\nYellow Red Red Yellow\n\n\nExample 2\nInput:\nPink Green Pink Orange Pink Green Pink Orange Pink Green Pink Orange Pink Green Pink Orange\nGray Yellow Yellow Gray Gray Yellow Yellow Gray Gray Yellow Yellow Gray Gray Yellow Yellow Gray\nPink Green Pink Orange Pink Green Pink Orange Pink Green Pink Orange Pink Green Pink Orange\nPink Green Pink Orange Pink Green Pink Orange Pink Green Pink Orange Pink Green Pink Orange\nGray Yellow Yellow Gray Gray Yellow Yellow Gray Gray Yellow Yellow Gray Gray Yellow Yellow Gray\nPink Green Pink Orange Pink Green Pink Orange Pink Green Pink Orange Pink Green Pink Orange\nPink Green Pink Orange Pink Green Pink Orange Pink Green Pink Orange Pink Black Black Orange\nGray Yellow Yellow Gray Gray Yellow Yellow Gray Gray Yellow Yellow Gray Gray Black Black Gray\nPink Green Pink Orange Pink Green Pink Orange Pink Green Pink Orange Pink Black Black Orange\nPink Green Pink Orange Pink Green Pink Orange Pink Green Pink Orange Pink Black Black Orange\nGray Yellow Yellow Gray Gray Yellow Yellow Gray Gray Yellow Yellow Gray Gray Yellow Yellow Gray\nPink Green Pink Orange Pink Green Pink Orange Pink Green Pink Orange Pink Green Pink Orange\n\nOutput:\nGreen Pink\nYellow Yellow\nGreen Pink\nGreen Pink\n\n\nExample 3\nInput:\nRed Red Pink Black Black Black Black Pink\nPink Orange Gray Black Black Black Black Gray\nPink Orange Gray Black Black Black Black Gray\nRed Red Pink Pink Red Red Pink Pink\nRed Red Pink Pink Red Red Pink Pink\nPink Orange Gray Gray Pink Orange Gray Gray\nPink Orange Gray Gray Pink Orange Gray Gray\nRed Red Pink Pink Red Red Pink Pink\n\nOutput:\nPink Red Red Pink\nGray Pink Orange Gray\nGray Pink Orange Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Brown Blue Black Black Gray Black Black Gray\nBlack Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Brown Brown 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 Black Blue Pink Pink Blue Black Black Black\nBlack Red Red Black Blue Green Green Blue Black Black Black\nBlack Red Red Black Black Green Green Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Green Black Black Green\nBlack Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Green Green Green 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 Black Black Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Black Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Black Black Blue Blue Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nOrange Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Orange Black Black Black Blue Black Black Black Black Orange Gray Gray Gray Black Black Black\nOrange Orange Black Orange Black Black Black Blue Black Black Black Black Green Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Blue Red Black Black Black Orange Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Red Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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\nGreen Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Green Black Black Black Black Green Green Green Green Black Black Black\nGreen Green Black Green Black Black Black Green Black Black Black Black Green Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Blue Blue 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\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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Blue Blue Black Black Black Black\nBrown Brown Black Black Blue Blue Black Black Black Black\nGray Gray Black Black Blue Blue Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Brown Brown Black Orange Orange Orange Orange\nBlack Black Black Pink Pink Black Orange Orange Orange Orange\n\nOutput:\nBlack Black Black Black Green Green Black Black Black Black\nGreen Green Black Black Green Green Black Black Black Black\nGreen Green Black Black Green Green Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue Blue Blue Blue\nBlack Black Black Blue Blue Black Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Red Red Red Black Red Orange Black Brown Brown\nBlack Black Red Red Red Red Black Orange Blue Black Brown Orange\nBlack Black Black Black Black Black Black Black Black Black Brown Orange\nBlack Gray Black Black Black Gray Gray Black Black Black Brown Brown\nRed Red Gray Gray Black Green Green Black Black Black Black Black\nBlack Black Black Gray Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Blue\nBlack Black Green Green Green Black Blue Blue Black Black Brown Brown\nBlack Black Green Black Green Black Black Blue Blue Black Brown Brown\nBlack Black Green Green Green Black Black Blue Black Black Brown Blue\nBlack Black Pink Black Pink Black Black Blue 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 Green Green Green Green Black Green Green Black Green Green\nBlack Black Green Green Green Green Black Green Green Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Green Black Black Black Green Green Black Black Black Green Green\nGreen Green Green Green Black Green Green Black Black Black Black Black\nBlack Black Black Green Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Blue Blue Blue Black Blue Blue Black Black Blue Blue\nBlack Black Blue Black Blue Black Black Blue Blue Black Blue Blue\nBlack Black Blue Blue Blue Black Black Blue Black Black Blue Blue\nBlack Black Blue Black Blue Black Black Blue 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:\nPurple Black Black Black Black Blue Black Pink\nOrange Black Black Orange Purple Black Black Black\nBlack Black Black Black Black Yellow Black Black\nOrange Black Black Pink Black Black Black Black\nBlack Red Pink Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black\nGray Black Black Purple Orange Orange Black Gray\nBlack Black Black Black Yellow Black Orange Black\n\nOutput:\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink\nOrange Orange Orange Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Purple Purple Purple Orange Orange Orange Orange Orange Orange Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Orange Orange Orange Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Orange Orange Orange Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\n\n\nExample 2\nInput:\nBlack Black Blue Black Black Black Black\nBlack Yellow Purple Black Black Black Black\nPurple Black Black Black Pink Black Red\nYellow Black Gray Purple Black Brown Black\nBlack Black Pink Black Yellow Brown Red\nBlack Black Black Black Black Black Black\nBlack Brown Black Black Black Purple Black\n\nOutput:\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Red Red Red\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Red Red Red\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Red Red Red\nYellow Yellow Yellow Black Black Black Gray Gray Gray Purple Purple Purple Black Black Black Brown Brown Brown Black Black Black\nYellow Yellow Yellow Black Black Black Gray Gray Gray Purple Purple Purple Black Black Black Brown Brown Brown Black Black Black\nYellow Yellow Yellow Black Black Black Gray Gray Gray Purple Purple Purple Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Brown Brown Brown Red Red Red\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Brown Brown Brown Red Red Red\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Brown Brown Brown Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Brown\nBlack Black Black Black Black Yellow Red\nBlack Black Black Black Black Black Black\nBlack Black Black Brown Orange Black Blue\nPurple Yellow Black Black Black Black Pink\nBlack Black Black Black Black Black Gray\nBlack Black Orange Black Black Brown Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange Black Black Black Blue Blue Blue\nPurple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPurple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPurple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Black Blue Black Green Black Black Black\nRed Gray Red Black Brown Black Blue Black Black\nPink Black Black Black Black Green Black Orange Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Purple Black\nBlack Black Brown Orange Black Purple Black Black Black\nPink Black Black Black Yellow Black Black Black Black\nPurple Black Orange Black Black Black Black Black Gray\nBlue 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 Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nRed Red Red Gray Gray Gray Red Red Red Black Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Gray Gray Gray Red Red Red Black Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Gray Gray Gray Red Red Red Black Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nPurple Purple Purple Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nPurple Purple Purple Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray\n\nOutput:\nGray\nGray\nGray\nGray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\n\nOutput:\nGray\nGray\nGray\nGray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\n\nOutput:\nGray\nGray\nGray\nGray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray\nGray\nGray\nGray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Green Black Black Black Black Black Green Black\nBlack Black Black Black Black Green Black Black Black Black Black Green\nBlack Black Black Black Red Black Green Black Black Black Black Black\nBlack Black Black Red Black Black Black Green Green Black Black Black\nBlack Black Red Black Black Black Black Black Black Green Black Black\nBlack Red Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple 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 Purple Purple 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 Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Red Black Green Black Black\nBlack Black Black Black Black Black Red Black Black Black Green Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red 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 Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Green Green Green Black\nBlack Black Black Green Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Yellow Black\nBlack Yellow Yellow Yellow Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Green Green Black\nBlack Black Black Green Green Black\nBlack Black Black Green Green Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Yellow Yellow Black\nBlack Black Black Yellow Yellow Black\nBlack Black Black Yellow Yellow Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Green Green Green Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Black Green Black\nBlack Black Green Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black\nBlack Black Yellow Black\nBlack Black Yellow Black\nBlack Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black\nBlack Black Black Blue Blue Black Black\nBlack Red Red Black Black Black Black\nBlack Red Red 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\nRed Black Black Blue Blue Black Black\nRed Black Black Blue Blue Black Black\nBlack Red Red Black Black Black Black\nBlack Red Red Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Black\nBlack Black Black Black Black Black Red Red Black\n\nOutput:\nBlack Black Black Black Black Red Red Blue Black\nBlack Black Black Black Black Red Red Blue Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Black\nBlack Black Black Black Black Black Red 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 Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black\nBlack Black Black Black Red Red 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\nRed Red Blue Blue Black Black Black Black\nRed Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Red Red\nBlack Blue Blue Black Red Red\nBlack Blue Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Red Red Black Red Red\nBlack Red Red Black Red Red\nBlack 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 Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Purple Purple Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Purple Purple Brown Brown\nBlue 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\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nPink Pink Black Black\nPink Pink Black Black\nPurple Purple Black Black\nPurple Purple Black Black\nBlack Black Black 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:\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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Yellow Yellow\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple Brown Brown\n\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nPink Pink Black Black\nPink Pink Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\n\nExample 3\nInput:\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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Brown Brown Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Brown Brown Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Orange Orange\n\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nYellow Yellow Black Black\nYellow Yellow Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Purple Purple Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nPink Pink Purple Purple Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Green Green Green Green Green Green Black Black\nRed Red Red Red Red Red Green Green Green Green Green Green Black Black\nRed Red Red Red Red Red Green Green Green Green Green Green Black Black\nRed Red Red Red Red Red Green Green Green Green Green Green Black Black\nRed Red Red Red Red Red Green Green Green Green Green Green Black Black\nRed Red Red Red Red Red Green Green Green Green Green Green Black Black\nPink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black\nPink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black\nPink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black\nPink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Pink Pink Pink Pink Black Black Purple Purple Purple Purple Black Black\nBlack Black Pink Pink Pink Pink Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black 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:\nPurple Purple Pink Pink Orange Orange Yellow Yellow Purple Purple Purple Purple Yellow Yellow Orange Orange Pink Pink Purple Purple\nPurple Purple Pink Pink Orange Orange Yellow Yellow Purple Purple Purple Purple Yellow Yellow Orange Orange Pink Pink Purple Purple\nOrange Orange Orange Orange Gray Gray Purple Purple Green Green Green Green Purple Purple Gray Gray Orange Orange Orange Orange\nOrange Orange Orange Orange Gray Gray Purple Purple Green Green Green Green Purple Purple Gray Gray Orange Orange Orange Orange\nPink Pink Brown Brown Orange Orange Red Red Green Green Green Green Red Red Orange Orange Brown Brown Pink Pink\nPink Pink Brown Brown Orange Orange Red Red Green Green Green Green Red Red Orange Orange Brown Brown Pink Pink\nYellow Yellow Green Green Blue Blue Orange Orange Green Green Green Green Orange Orange Blue Blue Green Green Yellow Yellow\nYellow Yellow Green Green Blue Blue Orange Orange Green Green Green Green Orange Orange Blue Blue Green Green Yellow Yellow\nPink Pink Green Green Pink Pink Orange Orange Purple Purple Purple Purple Orange Orange Pink Pink Green Green Pink Pink\nPink Pink Green Green Pink Pink Orange Orange Purple Purple Purple Purple Orange Orange Pink Pink Green Green Pink Pink\nBrown Brown Orange Orange Gray Gray Green Green Yellow Yellow Yellow Yellow Green Green Gray Gray Orange Orange Brown Brown\nBrown Brown Orange Orange Gray Gray Green Green Yellow Yellow Yellow Yellow Green Green Gray Gray Orange Orange Brown Brown\nPurple Purple Orange Orange Purple Purple Orange Orange Gray Gray Gray Gray Orange Orange Purple Purple Orange Orange Purple Purple\nPurple Purple Orange Orange Purple Purple Orange Orange Gray Gray Gray Gray Orange Orange Purple Purple Orange Orange Purple Purple\nGray Gray Brown Brown Orange Orange Blue Blue Brown Brown Brown Brown Blue Blue Orange Orange Brown Brown Gray Gray\nGray Gray Brown Brown Orange Orange Blue Blue Brown Brown Brown Brown Blue Blue Orange Orange Brown Brown Gray Gray\n\nOutput:\nGray Gray Brown Brown Orange Orange Blue Blue Brown Brown Brown Brown Blue Blue Orange Orange Brown Brown Gray Gray\nGray Gray Brown Brown Orange Orange Blue Blue Brown Brown Brown Brown Blue Blue Orange Orange Brown Brown Gray Gray\nPurple Purple Orange Orange Purple Purple Orange Orange Gray Gray Gray Gray Orange Orange Purple Purple Orange Orange Purple Purple\nPurple Purple Orange Orange Purple Purple Orange Orange Gray Gray Gray Gray Orange Orange Purple Purple Orange Orange Purple Purple\nBrown Brown Orange Orange Gray Gray Green Green Yellow Yellow Yellow Yellow Green Green Gray Gray Orange Orange Brown Brown\nBrown Brown Orange Orange Gray Gray Green Green Yellow Yellow Yellow Yellow Green Green Gray Gray Orange Orange Brown Brown\nPink Pink Green Green Pink Pink Orange Orange Purple Purple Purple Purple Orange Orange Pink Pink Green Green Pink Pink\nPink Pink Green Green Pink Pink Orange Orange Purple Purple Purple Purple Orange Orange Pink Pink Green Green Pink Pink\nYellow Yellow Green Green Blue Blue Orange Orange Green Green Green Green Orange Orange Blue Blue Green Green Yellow Yellow\nYellow Yellow Green Green Blue Blue Orange Orange Green Green Green Green Orange Orange Blue Blue Green Green Yellow Yellow\nPink Pink Brown Brown Orange Orange Red Red Green Green Green Green Red Red Orange Orange Brown Brown Pink Pink\nPink Pink Brown Brown Orange Orange Red Red Green Green Green Green Red Red Orange Orange Brown Brown Pink Pink\nOrange Orange Orange Orange Gray Gray Purple Purple Green Green Green Green Purple Purple Gray Gray Orange Orange Orange Orange\nOrange Orange Orange Orange Gray Gray Purple Purple Green Green Green Green Purple Purple Gray Gray Orange Orange Orange Orange\nPurple Purple Pink Pink Orange Orange Yellow Yellow Purple Purple Purple Purple Yellow Yellow Orange Orange Pink Pink Purple Purple\nPurple Purple Pink Pink Orange Orange Yellow Yellow Purple Purple Purple Purple Yellow Yellow Orange Orange Pink Pink Purple Purple\n\n\nExample 2\nInput:\nPink Pink Pink Pink Pink Pink Orange Orange Pink Pink Brown Brown Orange Orange\nPink Pink Pink Pink Pink Pink Orange Orange Pink Pink Brown Brown Orange Orange\nOrange Orange Orange Orange Blue Blue Yellow Yellow Orange Orange Blue Blue Yellow Yellow\nOrange Orange Orange Orange Blue Blue Yellow Yellow Orange Orange Blue Blue Yellow Yellow\nOrange Orange Red Red Purple Purple Blue Blue Blue Blue Purple Purple Blue Blue\nOrange Orange Red Red Purple Purple Blue Blue Blue Blue Purple Purple Blue Blue\nBrown Brown Pink Pink Red Red Purple Purple Orange Orange Brown Brown Red Red\nBrown Brown Pink Pink Red Red Purple Purple Orange Orange Brown Brown Red Red\nBrown Brown Orange Orange Purple Purple Purple Purple Brown Brown Gray Gray Green Green\nBrown Brown Orange Orange Purple Purple Purple Purple Brown Brown Gray Gray Green Green\nBrown Brown Orange Orange Purple Purple Purple Purple Brown Brown Gray Gray Green Green\nBrown Brown Orange Orange Purple Purple Purple Purple Brown Brown Gray Gray Green Green\nBrown Brown Pink Pink Red Red Purple Purple Orange Orange Brown Brown Red Red\nBrown Brown Pink Pink Red Red Purple Purple Orange Orange Brown Brown Red Red\nOrange Orange Red Red Purple Purple Blue Blue Blue Blue Purple Purple Blue Blue\nOrange Orange Red Red Purple Purple Blue Blue Blue Blue Purple Purple Blue Blue\nOrange Orange Orange Orange Blue Blue Yellow Yellow Orange Orange Blue Blue Yellow Yellow\nOrange Orange Orange Orange Blue Blue Yellow Yellow Orange Orange Blue Blue Yellow Yellow\nPink Pink Pink Pink Pink Pink Orange Orange Pink Pink Brown Brown Orange Orange\nPink Pink Pink Pink Pink Pink Orange Orange Pink Pink Brown Brown Orange Orange\n\nOutput:\nOrange Orange Brown Brown Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink\nOrange Orange Brown Brown Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Blue Blue Orange Orange Orange Orange\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Blue Blue Orange Orange Orange Orange\nBlue Blue Purple Purple Blue Blue Blue Blue Purple Purple Red Red Orange Orange\nBlue Blue Purple Purple Blue Blue Blue Blue Purple Purple Red Red Orange Orange\nRed Red Brown Brown Orange Orange Purple Purple Red Red Pink Pink Brown Brown\nRed Red Brown Brown Orange Orange Purple Purple Red Red Pink Pink Brown Brown\nGreen Green Gray Gray Brown Brown Purple Purple Purple Purple Orange Orange Brown Brown\nGreen Green Gray Gray Brown Brown Purple Purple Purple Purple Orange Orange Brown Brown\nGreen Green Gray Gray Brown Brown Purple Purple Purple Purple Orange Orange Brown Brown\nGreen Green Gray Gray Brown Brown Purple Purple Purple Purple Orange Orange Brown Brown\nRed Red Brown Brown Orange Orange Purple Purple Red Red Pink Pink Brown Brown\nRed Red Brown Brown Orange Orange Purple Purple Red Red Pink Pink Brown Brown\nBlue Blue Purple Purple Blue Blue Blue Blue Purple Purple Red Red Orange Orange\nBlue Blue Purple Purple Blue Blue Blue Blue Purple Purple Red Red Orange Orange\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Blue Blue Orange Orange Orange Orange\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Blue Blue Orange Orange Orange Orange\nOrange Orange Brown Brown Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink\nOrange Orange Brown Brown Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nPink Pink Gray Gray Pink Pink Blue Blue Yellow Yellow Blue Blue Pink Pink Gray Gray Pink Pink\nPink Pink Gray Gray Pink Pink Blue Blue Yellow Yellow Blue Blue Pink Pink Gray Gray Pink Pink\nGray Gray Pink Pink Purple Purple Red Red Purple Purple Red Red Purple Purple Pink Pink Gray Gray\nGray Gray Pink Pink Purple Purple Red Red Purple Purple Red Red Purple Purple Pink Pink Gray Gray\nGreen Green Gray Gray Brown Brown Pink Pink Green Green Pink Pink Brown Brown Gray Gray Green Green\nGreen Green Gray Gray Brown Brown Pink Pink Green Green Pink Pink Brown Brown Gray Gray Green Green\nPink Pink Pink Pink Yellow Yellow Brown Brown Gray Gray Brown Brown Yellow Yellow Pink Pink Pink Pink\nPink Pink Pink Pink Yellow Yellow Brown Brown Gray Gray Brown Brown Yellow Yellow Pink Pink Pink Pink\nBrown Brown Brown Brown Blue Blue Red Red Orange Orange Red Red Blue Blue Brown Brown Brown Brown\nBrown Brown Brown Brown Blue Blue Red Red Orange Orange Red Red Blue Blue Brown Brown Brown Brown\nGray Gray Brown Brown Orange Orange Purple Purple Red Red Purple Purple Orange Orange Brown Brown Gray Gray\nGray Gray Brown Brown Orange Orange Purple Purple Red Red Purple Purple Orange Orange Brown Brown Gray Gray\nBrown Brown Orange Orange Orange Orange Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown\nBrown Brown Orange Orange Orange Orange Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown\nBlue Blue Pink Pink Pink Pink Blue Blue Green Green Blue Blue Pink Pink Pink Pink Blue Blue\nBlue Blue Pink Pink Pink Pink Blue Blue Green Green Blue Blue Pink Pink Pink Pink Blue Blue\nPink Pink Pink Pink Gray Gray Orange Orange Green Green Orange Orange Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Gray Gray Orange Orange Green Green Orange Orange Gray Gray Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Gray Gray Orange Orange Green Green Orange Orange Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Gray Gray Orange Orange Green Green Orange Orange Gray Gray Pink Pink Pink Pink\nBlue Blue Pink Pink Pink Pink Blue Blue Green Green Blue Blue Pink Pink Pink Pink Blue Blue\nBlue Blue Pink Pink Pink Pink Blue Blue Green Green Blue Blue Pink Pink Pink Pink Blue Blue\nBrown Brown Orange Orange Orange Orange Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown\nBrown Brown Orange Orange Orange Orange Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown\nGray Gray Brown Brown Orange Orange Purple Purple Red Red Purple Purple Orange Orange Brown Brown Gray Gray\nGray Gray Brown Brown Orange Orange Purple Purple Red Red Purple Purple Orange Orange Brown Brown Gray Gray\nBrown Brown Brown Brown Blue Blue Red Red Orange Orange Red Red Blue Blue Brown Brown Brown Brown\nBrown Brown Brown Brown Blue Blue Red Red Orange Orange Red Red Blue Blue Brown Brown Brown Brown\nPink Pink Pink Pink Yellow Yellow Brown Brown Gray Gray Brown Brown Yellow Yellow Pink Pink Pink Pink\nPink Pink Pink Pink Yellow Yellow Brown Brown Gray Gray Brown Brown Yellow Yellow Pink Pink Pink Pink\nGreen Green Gray Gray Brown Brown Pink Pink Green Green Pink Pink Brown Brown Gray Gray Green Green\nGreen Green Gray Gray Brown Brown Pink Pink Green Green Pink Pink Brown Brown Gray Gray Green Green\nGray Gray Pink Pink Purple Purple Red Red Purple Purple Red Red Purple Purple Pink Pink Gray Gray\nGray Gray Pink Pink Purple Purple Red Red Purple Purple Red Red Purple Purple Pink Pink Gray Gray\nPink Pink Gray Gray Pink Pink Blue Blue Yellow Yellow Blue Blue Pink Pink Gray Gray Pink Pink\nPink Pink Gray Gray Pink Pink Blue Blue Yellow Yellow Blue Blue Pink Pink Gray Gray Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Green Green Brown Brown Purple Purple Pink Pink Red Red Yellow Yellow\nGray Gray Gray Gray Green Green Brown Brown Purple Purple Pink Pink Red Red Yellow Yellow\nOrange Orange Green Green Yellow Yellow Yellow Yellow Blue Blue Gray Gray Gray Gray Gray Gray\nOrange Orange Green Green Yellow Yellow Yellow Yellow Blue Blue Gray Gray Gray Gray Gray Gray\nPink Pink Brown Brown Blue Blue Yellow Yellow Yellow Yellow Purple Purple Orange Orange Purple Purple\nPink Pink Brown Brown Blue Blue Yellow Yellow Yellow Yellow Purple Purple Orange Orange Purple Purple\nBrown Brown Pink Pink Blue Blue Gray Gray Blue Blue Green Green Pink Pink Blue Blue\nBrown Brown Pink Pink Blue Blue Gray Gray Blue Blue Green Green Pink Pink Blue Blue\nBlue Blue Yellow Yellow Blue Blue Red Red Pink Pink Purple Purple Green Green Green Green\nBlue Blue Yellow Yellow Blue Blue Red Red Pink Pink Purple Purple Green Green Green Green\nBrown Brown Pink Pink Blue Blue Gray Gray Blue Blue Green Green Pink Pink Blue Blue\nBrown Brown Pink Pink Blue Blue Gray Gray Blue Blue Green Green Pink Pink Blue Blue\nPink Pink Brown Brown Blue Blue Yellow Yellow Yellow Yellow Purple Purple Orange Orange Purple Purple\nPink Pink Brown Brown Blue Blue Yellow Yellow Yellow Yellow Purple Purple Orange Orange Purple Purple\nOrange Orange Green Green Yellow Yellow Yellow Yellow Blue Blue Gray Gray Gray Gray Gray Gray\nOrange Orange Green Green Yellow Yellow Yellow Yellow Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green Green Brown Brown Purple Purple Pink Pink Red Red Yellow Yellow\nGray Gray Gray Gray Green Green Brown Brown Purple Purple Pink Pink Red Red Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Red Red Pink Pink Purple Purple Brown Brown Green Green Gray Gray Gray Gray\nYellow Yellow Red Red Pink Pink Purple Purple Brown Brown Green Green Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Yellow Yellow Yellow Yellow Green Green Orange Orange\nGray Gray Gray Gray Gray Gray Blue Blue Yellow Yellow Yellow Yellow Green Green Orange Orange\nPurple Purple Orange Orange Purple Purple Yellow Yellow Yellow Yellow Blue Blue Brown Brown Pink Pink\nPurple Purple Orange Orange Purple Purple Yellow Yellow Yellow Yellow Blue Blue Brown Brown Pink Pink\nBlue Blue Pink Pink Green Green Blue Blue Gray Gray Blue Blue Pink Pink Brown Brown\nBlue Blue Pink Pink Green Green Blue Blue Gray Gray Blue Blue Pink Pink Brown Brown\nGreen Green Green Green Purple Purple Pink Pink Red Red Blue Blue Yellow Yellow Blue Blue\nGreen Green Green Green Purple Purple Pink Pink Red Red Blue Blue Yellow Yellow Blue Blue\nBlue Blue Pink Pink Green Green Blue Blue Gray Gray Blue Blue Pink Pink Brown Brown\nBlue Blue Pink Pink Green Green Blue Blue Gray Gray Blue Blue Pink Pink Brown Brown\nPurple Purple Orange Orange Purple Purple Yellow Yellow Yellow Yellow Blue Blue Brown Brown Pink Pink\nPurple Purple Orange Orange Purple Purple Yellow Yellow Yellow Yellow Blue Blue Brown Brown Pink Pink\nGray Gray Gray Gray Gray Gray Blue Blue Yellow Yellow Yellow Yellow Green Green Orange Orange\nGray Gray Gray Gray Gray Gray Blue Blue Yellow Yellow Yellow Yellow Green Green Orange Orange\nYellow Yellow Red Red Pink Pink Purple Purple Brown Brown Green Green Gray Gray Gray Gray\nYellow Yellow Red Red Pink Pink Purple Purple Brown Brown Green Green 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 Green Black Purple Black Black\nRed Green Black Blue Black Black Yellow Black\nBlack Blue Black Blue Purple Black Black Black\nBlack Black Green Black Black Blue Purple Black\nBlack Red Black Green Yellow Black Red Blue\nBlack Yellow Black Black Black Yellow Green Blue\nRed Yellow Black Purple Black Black Blue Blue\nYellow Black Blue Black Green Black Green Green\nBlack Black Black Yellow Green Green Black Black\nBlack Blue Green Purple Green Blue Red Purple\nYellow Red Black Black Blue Black Red Black\nYellow Blue Red Black Black Black Black Black\nGreen Black Black Green Black Black Black Green\nBlue Yellow Black Black Red Green Black Black\nPurple Blue Yellow Blue Black Black Purple Black\nBlack Blue Blue Blue Yellow Black Red Black\nPurple Red Black Black Green Purple Yellow Green\nYellow Blue Black Purple Black Black Blue Black\n\nOutput:\nBlack Green Red Yellow Red Green Blue Yellow\nPurple Blue Black Green Green Black Blue Black\nPurple Green Blue Green Yellow Black Black Black\nRed Black Red Red Black Green Yellow Red\nGreen Purple Black Red Blue Red Blue Green\nYellow Green Purple Green Black Purple Yellow Green\nBlue Green Green Green Purple Black Blue Green\nYellow Blue Green Black Red Yellow Purple Red\nPurple Green Black Yellow Red Red Green Black\nBlack Green Red Yellow Red Green Blue Yellow\nPurple Blue Black Green Green Black Blue Black\nPurple Green Blue Green Yellow Black Black Black\nRed Black Red Red Black Green Yellow Red\nGreen Purple Black Red Blue Red Blue Green\nYellow Green Purple Green Black Purple Yellow Green\nBlue Green Green Green Purple Black Blue Green\nYellow Blue Green Black Red Yellow Purple Red\nPurple Green Black Yellow Red Red Green Black\n\n\nExample 2\nInput:\nBlue Black Black Black Black Black Black Black Blue Blue\nRed Yellow Black Black Purple Red Black Blue Blue Yellow\nBlack Red Black Green Green Purple Black Black Green Red\nGreen Black Black Black Black Black Yellow Black Black Black\nYellow Black Yellow Black Yellow Green Black Black Purple Black\nBlack Black Black Black Black Red Black Green Black Yellow\nBlack Black Green Black Green Green Green Black Red Blue\n\nOutput:\nRed Black Red Black Red Red Red Black Blue Green\nPurple Purple Purple Black Purple Red Black Green Yellow Purple\nBlack Blue Black Red Red Blue Black Red Red Purple\nRed Black Red Black Red Red Red Black Blue Green\nPurple Purple Purple Black Purple Red Black Green Yellow Purple\nBlack Blue Black Red Red Blue Black Red Red Purple\nRed Black Red Black Red Red Red Black Blue Green\n\n\nExample 3\nInput:\nYellow Black Black Black Black Black Black Black Green Blue Yellow\nYellow Black Red Yellow Blue Yellow Green Blue Black Blue Black\nBlack Purple Purple Red Black Black Black Black Black Red Green\nBlack Yellow Black Black Black Black Black Red Black Red Blue\nRed Black Black Black Black Red Black Black Black Green Blue\nBlack Black Yellow Black Black Yellow Purple Black Black Purple Black\nBlack Blue Black Black Red Purple Black Black Yellow Blue Red\n\nOutput:\nBlack Green Black Black Blue Yellow Black Blue Purple Green Blue\nBlue Black Blue Purple Green Blue Red Green Black Red Green\nBlack Yellow Purple Blue Black Purple Yellow Black Black Yellow Red\nBlack Green Black Black Blue Yellow Black Blue Purple Green Blue\nBlue Black Blue Purple Green Blue Red Green Black Red Green\nBlack Yellow Purple Blue Black Purple Yellow Black Black Yellow Red\nBlack Green Black Black Blue Yellow Black Blue Purple Green Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Yellow Black Black Green Blue Blue\nBlack Green Purple Green Green Purple Blue Blue Black\nBlue Black Purple Yellow Blue Black Blue Black Green\nBlack Black Green Black Black Green Yellow Green Yellow\nBlue Red Yellow Purple Black Yellow Black Black Black\nBlack Black Black Black Black Red Black Purple Black\nRed Red Blue Green Blue Black Black Yellow Green\nBlack Red Black Black Green Black Black Black Black\nPurple Black Black Black Black Red Black 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```\nYellow Blue Purple Yellow Black Blue Black Yellow Black\nBlack Red Yellow Red Red Blue Green Yellow Black\nBlue Blue Green Red Green Black Green Purple Red\nBlack Blue Red Black Red Red Purple Red Purple\nYellow Blue Purple Yellow Black Blue Black Yellow Black\nBlack Red Yellow Red Red Blue Green Yellow Black\nBlue Blue Green Red Green Black Green Purple Red\nBlack Blue Red Black Red Red Purple Red Purple\nYellow Blue Purple Yellow Black Blue Black Yellow Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Red Yellow Green Black Green Yellow Green Red Red Yellow Yellow\nRed Yellow Yellow Red Green Black Red Yellow Yellow Black Black Red\nYellow Green Black Green Yellow Green Red Black Green Red Black Black\nBlack Black Black Yellow Black Black Black Black Black Red Yellow Black\nGreen Yellow Yellow Green Red Red Yellow Green Yellow Green Yellow Black\nBlack Green Green Green Yellow Black Yellow Red Yellow Yellow Red Green\nRed Yellow Red Yellow Yellow Red Black Green Black Red Green Red\nGreen Yellow Yellow Yellow Black Yellow Black Green Black Black Black Yellow\n\nOutput:\nBlack Green Red Yellow Black Yellow Red Yellow Green Green Red Red\nGreen Red Red Green Yellow Black Green Red Red Black Black Green\nRed Yellow Black Yellow Red Yellow Green Black Yellow Green Black Black\nBlack Black Black Red Black Black Black Black Black Green Red Black\nYellow Red Red Yellow Green Green Red Yellow Red Yellow Red Black\nBlack Yellow Yellow Yellow Red Black Red Green Red Red Green Yellow\nGreen Red Green Red Red Green Black Yellow Black Green Yellow Green\nYellow Red Red Red Black Red Black Yellow Black Black Black Red\n\n\nExample 2\nInput:\nBlack Yellow Green Red Red Yellow Red Black Black Green\nBlack Yellow Yellow Yellow Black Red Red Yellow Black Black\nBlack Green Black Yellow Red Yellow Black Black Black Yellow\nBlack Green Yellow Green Green Red Black Red Black Black\nBlack Yellow Red Black Red Red Black Black Yellow Green\nYellow Red Green Green Green Green Green Black Yellow Red\nBlack Green Green Red Yellow Yellow Green Red Black Black\n\nOutput:\nBlack Red Yellow Green Green Red Green Black Black Yellow\nBlack Red Red Red Black Green Green Red Black Black\nBlack Yellow Black Red Green Red Black Black Black Red\nBlack Yellow Red Yellow Yellow Green Black Green Black Black\nBlack Red Green Black Green Green Black Black Red Yellow\nRed Green Yellow Yellow Yellow Yellow Yellow Black Red Green\nBlack Yellow Yellow Green Red Red Yellow Green Black Black\n\n\nExample 3\nInput:\nGreen Green Yellow Yellow Red Red Green Green Black Black Green\nGreen Black Black Red Yellow Green Yellow Green Red Black Green\nBlack Black Red Yellow Black Yellow Yellow Green Black Red Red\nYellow Red Black Black Red Green Black Green Red Black Red\nBlack Yellow Black Green Green Black Green Red Black Red Red\nBlack Black Black Black Yellow Green Green Black Red Yellow Black\nRed Red Red Green Black Yellow Black Green Red Yellow Green\n\nOutput:\nYellow Yellow Red Red Green Green Yellow Yellow Black Black Yellow\nYellow Black Black Green Red Yellow Red Yellow Green Black Yellow\nBlack Black Green Red Black Red Red Yellow Black Green Green\nRed Green Black Black Green Yellow Black Yellow Green Black Green\nBlack Red Black Yellow Yellow Black Yellow Green Black Green Green\nBlack Black Black Black Red Yellow Yellow Black Green Red Black\nGreen Green Green Yellow Black Red Black Yellow Green Red Yellow\n\n\nHere is the input grid for the test example:\nInput:\nGreen Red Red Red Black Black Red Green Yellow\nYellow Red Red Yellow Red Green Green Red Red\nYellow Red Yellow Black Black Green Yellow Yellow Yellow\nYellow Yellow Yellow Red Black Black Yellow Black Yellow\nGreen Green Green Yellow Black Black Red Green Green\nBlack Yellow Yellow Red Green Green Yellow Red Green\nGreen Red Red Green Black Black Green Red Yellow\nGreen Black Green Yellow Green Yellow Black Green Yellow\nYellow Green Yellow Black Green Green Red Red Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Green Green Green Black Black Green Yellow Red\nRed Green Green Red Green Yellow Yellow Green Green\nRed Green Red Black Black Yellow Red Red Red\nRed Red Red Green Black Black Red Black Red\nYellow Yellow Yellow Red Black Black Green Yellow Yellow\nBlack Red Red Green Yellow Yellow Red Green Yellow\nYellow Green Green Yellow Black Black Yellow Green Red\nYellow Black Yellow Red Yellow Red Black Yellow Red\nRed Yellow Red Black Yellow Yellow Green Green Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Black Red Red\nBlack Black Blue Black Black Black Black Red Red Red\nBlue Blue Blue Blue Black Black Black Red Red Red\nBlack Black Blue Black Black Black Black Black Red Red\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 Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Green Green Green\nBlack Black Blue Black Black Black Black Green Green Green\nBlue Blue Blue Blue Black Black Black Green Green Green\nBlack Black Blue Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue 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 Green Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Black Red Black Black Black\nBlack Red Red Red Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black\nOrange Black Black Orange Black Black Black\nOrange Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Green Green Green Black Black Black\nBlack Green Green Green Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black\nOrange Black Black Orange Black Black Black\nOrange Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack 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\nBlack Green Black Black Black Black Black Black Black Black Black Green Black\nBlack Green Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Green Black Black Black Black Black\nRed Red Red Red Red Black Black Green Green Black Black Black Black\nBlack Black Blue Black Black Black Black Green Green Black Black Black Black\nBlack Blue Blue Blue Black Red Red Green Black Black Black Black Black\nBlack Black Blue Black Red Red Red Red Green Green Green Green Black\nBlack Black Black Black Red Red Red Red Green Green Green Green Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black\n\nOutput:\nBlack 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\nBlack Green Black Black Black Black Black Black Black Black Black Green Black\nBlack Green Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Green Black Black Black Black Black\nRed Red Red Red Red Black Black Green Green Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Green Green Black Black Black Black\nBlack Yellow Yellow Yellow Black Red Red Green Black Black Black Black Black\nBlack Yellow Yellow Yellow Red Red Red Red Green Green Green Green Black\nBlack Black Black Black Red Red Red Red Green Green Green Green Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Black Blue\nBlack Black Black Black Gray Gray Black Black Black Blue Black Blue\nBlack Black Gray Gray Gray Black Black Yellow Yellow Black Blue Blue\nBlack Black Black Gray Black Black Black Yellow Yellow Black Blue Blue\nBlack Black Black Black Black Black Black Yellow Yellow Black Blue Blue\nBlack Black Green Black Green Black Black Yellow Yellow Black Black Black\nBlack Black Green Black Green Black Black Yellow Yellow Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Gray Gray Black Black Black Yellow Yellow Yellow\nBlack Black Gray Gray Gray Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Gray Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Green Black Green Black Black Yellow Yellow Black Black Black\nBlack Black Green Black Green Black Black Yellow Yellow Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Red Black Black\nRed Red Black Black Black Black Black Black Blue Red Black Black\nRed Red Black Gray Black Blue Blue Blue Blue Red Black Black\nRed Red Gray Gray Gray Black Blue Blue Black Red Red Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Green Green Green Black Black\nBlack Black Blue Blue Blue Blue Black Green Green Green Yellow Yellow\nBlack Black Black Black Blue Blue Black Black Green Green Yellow Yellow\nBlack Black Black Black Blue Blue Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Black Black Yellow Yellow Yellow Black\n\nOutput:\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 Black Black Black Black Black Black Blue Red Black Black\nRed Red Black Black Black Black Black Black Blue Red Black Black\nRed Red Black Gray Black Blue Blue Blue Blue Red Black Black\nRed Red Gray Gray Gray Black Blue Blue Black Red Red Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Green Green Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow 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 Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Blue Blue Black Black Gray Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Blue Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Blue Blue Green Black Yellow Yellow\nBlack Gray Gray Gray Gray Gray Black Black Blue Blue Green Black Yellow Yellow\nBlack Black Gray Gray Black Gray Black Black Black Black Green Green Yellow Yellow\nBlack Gray Gray Gray Gray Gray Black Black Black Black Green Black Yellow Yellow\nBlack Black Black Black Black Black Black Green Black Black Green Green Green Black\nBlack Black Black Black Black 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\nDirectly provide the output grids corresponding to the given test input grids, based 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 Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Yellow Yellow Black Black Gray Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Green Black Yellow Yellow\nBlack Gray Gray Gray Gray Gray Black Black Yellow Yellow Green Black Yellow Yellow\nBlack Black Gray Gray Black Gray Black Black Black Black Green Green Yellow Yellow\nBlack Gray Gray Gray Gray Gray Black Black Black Black Green Black Yellow Yellow\nBlack Black Black Black Black Black Black Green Black Black Green Green Green Black\nBlack Black Black Black Black 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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Red Red Black Black Black Red Red\nBlack Black Black Red Red Black Black Black Red Red\nBlack Black Black Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Red Red\nRed Red Red Red Red Red Black Black Red Red\nRed Red Red Red Red Red Black Black Red Red\nRed Red Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Red Black Black Black\n\nOutput:\nBlue Red Red Blue Red Black Blue Black Red Blue\nBlack Blue Black Red Blue Black Black Blue Red Red\nBlack Black Blue Red Red Blue Red Red Blue Red\nBlue Black Black Blue Red Red Blue Red Red Blue\nRed Blue Red Red Blue Red Red Blue Red Red\nRed Red Blue Red Red Blue Black Black Blue Red\nBlue Red Red Blue Red Red Blue Black Red Blue\nRed Blue Red Red Blue Red Black Blue Red Red\nRed Red Blue Red Red Blue Red Black Blue Black\nBlue Red Red Blue Red Red Blue Black Black Blue\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Red Red Red Red\nRed Black Black Black Red Black Black Black Red Red\nRed Red Red Red Red Black Black Black Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Black Black Red Red Red Red Red Red\nRed Red Black Black Red Red Red Red Red Red\nRed Red Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\n\nOutput:\nBlue Red Red Blue Red Red Blue Red Red Blue\nRed Blue Black Black Blue Black Black Blue Red Red\nRed Red Blue Red Red Blue Black Black Blue Red\nBlue Red Red Blue Red Red Blue Red Red Blue\nRed Blue Red Red Blue Red Red Blue Red Red\nRed Red Blue Black Red Blue Red Red Blue Red\nBlue Red Black Blue Red Red Blue Red Red Blue\nRed Blue Black Black Blue Red Red Blue Red Red\nRed Red Blue Red Red Blue Red Red Blue Red\nBlue Red Red Blue Red Red Blue Red Red Blue\n\n\nExample 3\nInput:\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Black Red Red Red\nRed Red Red Red Red Red Black Red Red Red\nRed Red Red Red Red Red Black Red Black Black\nRed Red Red Red Red Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Black Red Red Red Red Red Red\nRed Red Red Black Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Red\nRed Red Red Red Red Red Black Black Black Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Black Red Red Red Red Red\nRed Red Red Black Black Red Black Black Red Red\nRed Red Red Red Red Red Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Blue Black Red Red Blue Red Red Red\nBlue Red Red Black Blue Red Red Red Blue Red\nRed Red Blue Red Red Red Blue Red Red Red\nBlue Red Red Red Blue Red Black Black Blue Red\nRed Red Blue Red Red Red Blue Black Black Red\nBlue Red Red Red Blue Red Red Red Blue Red\nRed Red Blue Red Red Red Blue Red Red Red\nBlue Red Red Red Blue Red Red Red Blue Red\nRed Red Blue Black Black Red Blue Black Red Red\nBlue Red Red Red Blue Red Red Red Blue Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Blue Orange Brown Brown Blue Yellow Yellow Yellow\nOrange Orange Yellow Blue Yellow Yellow Brown Yellow Yellow\nYellow Brown Blue Yellow Brown Yellow Brown Yellow Orange\nOrange Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Yellow Blue Yellow Blue Blue Blue Yellow\nOrange Orange Brown Brown Blue Orange Yellow Yellow Yellow\nBrown Blue Yellow Yellow Brown Blue Brown Brown Blue\nOrange Orange Brown Brown Yellow Blue Blue Blue Yellow\nBlue Yellow Orange Blue Yellow Yellow Blue Yellow Orange\n\nOutput:\nOrange\nBrown\nBlue\nYellow\n\n\nExample 2\nInput:\nOrange Brown Orange Purple Orange Purple Yellow\nPurple Purple Yellow Purple Brown Purple Purple\nPurple Purple Yellow Purple Purple Orange Orange\nYellow Orange Yellow Purple Brown Yellow Purple\nBrown Yellow Brown Yellow Orange Orange Purple\nPurple Orange Purple Orange Orange Purple Purple\nYellow Yellow Purple Purple Yellow Brown Orange\nPurple Yellow Brown Orange Yellow Brown Brown\nBrown Purple Purple Yellow Brown Yellow Brown\nYellow Brown Yellow Orange Orange Purple Purple\n\nOutput:\nBrown\nOrange\nYellow\nPurple\n\n\nExample 3\nInput:\nYellow Gray Gray Yellow Gray Yellow\nBrown Blue Blue Yellow Brown Brown\nBlue Brown Yellow Yellow Yellow Blue\nYellow Brown Brown Brown Yellow Gray\nBrown Blue Brown Brown Brown Brown\nBrown Brown Blue Gray Yellow Gray\nBrown Brown Brown Blue Gray Brown\nBrown Yellow Yellow Gray Yellow Brown\nBrown Yellow Yellow Yellow Brown Yellow\n\nOutput:\nBlue\nGray\nYellow\nBrown\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Green Gray Green Gray Purple Gray Green Purple\nGray Purple Green Purple Red Gray Green Green Purple Purple Red\nGray Green Gray Green Purple Green Purple Green Red Green Green\nRed Gray Red Green Gray Gray Purple Purple Green Red Gray\nRed Gray Purple Purple Gray Green Purple Green Green Green Green\nRed Green Red Gray Red Red Green Purple Green Green Green\nGray Green Red Gray Red Purple Red Gray Red Gray Gray\nGreen Gray Green Green Gray Purple Green Gray Green Green Green\nGreen Red Green Green Purple Gray Purple Red Purple Red Gray\nGray Gray Green Red Gray Green Red Red Gray Gray Purple\nGreen Green Green Green Green Red Gray Purple Green 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```\nPurple\nRed\nGray\nGreen\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Purple\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Green Green Green Black Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Green Black Green Green Black\nBlack Black Green Black Green Black Black\nBlack Black Black Black Black Black Pink\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Black Pink Pink Black\nBlack Black Pink Black Pink Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Green Black Black Black Black Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Green Black Black Black Black\nBlack Green Green Black Black Black Black\nBlack Black Black Black Black Black Orange\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Black Black Black Black\nBlack Orange Orange 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\nBlack Gray Black Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Black Black Black Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Black Gray Gray Gray Black\nBlack Black Black Black Black Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Pink Black Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Black Black Black Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Black Pink Pink Pink 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 Brown Black\nBlack Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Brown Black Black\nBlack Blue Black Black Black Black Yellow Black\nBlack Black Black Black Pink Purple Gray Black\nBrown Blue Black Black Black Black Black Black\nBrown Yellow Black Black Black Black Black Black\nBlack Blue Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Orange\nBlack Black Black Blue Blue Black Black Black\nBlack Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Brown Black\nBlack Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Brown Black Black\nBlack Pink Black Black Black Black Yellow Black\nBlack Black Black Black Pink Purple Gray Black\nBrown Pink Black Black Black Black Black Black\nBrown Yellow Black Black Black Black Black Black\nBlack Pink Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Orange\nBlack Black Black Pink Pink Black Black Black\nBlack Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Black Black Black Black Black Black Black Black\nBlue Black Red Black Black Black Black Black Black\nBlack Black Purple Blue Black Brown Black Black Black\nGreen Black Black Blue Yellow Black Black Black Black\nBlue Black Black Blue Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Yellow Brown Black Red Black Black\nBlack Black Black Orange Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\n\nOutput:\nPink Black Black Black Black Black Black Black Black\nPink Black Red Black Black Black Black Black Black\nBlack Black Purple Pink Black Brown Black Black Black\nGreen Black Black Pink Yellow Black Black Black Black\nPink Black Black Pink Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Yellow Brown Black Red Black Black\nBlack Black Black Orange Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Pink Black Black Gray 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 Purple\nBlack Black Gray Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Purple Pink Black Black Black Black Black Black Black Black Black Yellow Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Purple Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Gray Black Black Blue Black Black\nBlack Black Black Black Black Pink Black Black Black Pink Black Black Black Black Black Black Black Black Gray\nBlack Black Black Yellow Black Black Black Blue Black Red Black Black Black Black Black Black Black Purple Yellow\nBlack Black Black Yellow Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Blue Black Black Orange Green Black Blue Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Pink Black Black Gray Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Gray Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Purple Pink Black Black Black Black Black Black Black Black Black Yellow Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Purple Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Gray Black Black Pink Black Black\nBlack Black Black Black Black Pink Black Black Black Pink Black Black Black Black Black Black Black Black Gray\nBlack Black Black Yellow Black Black Black Pink Black Red Black Black Black Black Black Black Black Purple Yellow\nBlack Black Black Yellow Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Pink Black Black Orange Green Black Pink Black Black Black Black Black\nBlack Gray 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:\nYellow Black Black Black Black Black Gray Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown 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 Red Black Black\nBlack Black Black Black Black Gray Black Yellow Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Brown Black Black Black Red Black\nBlue Orange Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Purple Blue Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Black Black Black Black Black Gray Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown 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 Red Black Black\nBlack Black Black Black Black Gray Black Yellow Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Brown Black Black Black Red Black\nPink Orange Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Purple Pink Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 Purple Orange Black Black Black Black Black Black Black Black\nBlack Green Red Red Yellow Brown Black Black Black Black Black Black Black\nBlack Orange Brown Purple Blue Blue Blue Black Orange Black Black Black Black\nBrown Purple Blue Orange Blue Brown Pink Green Brown Yellow Black Black Black\nBlack Red Green Blue Pink Orange Purple Yellow Purple Purple Green Black Black\nBlack Blue Green Blue Gray Red Blue Yellow Brown Green Black Black Black\nBlack Purple Red Purple Purple Yellow Brown Pink Gray Black Black Black Black\nBlack Black Brown Red Green Yellow Gray Black Black Black Black Black Black\nBlack Black Red Yellow Blue Purple Purple Brown Black Black Black Black Black\nBlack Black Black Black Pink Brown Purple Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Black Green Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Blue Pink Purple\nBlack Black Black Black Black Black Black Green Black Black Purple Black\nBlack Black Black Black Black Black Green Green Blue Black Black Black\nBlack Black Black Black Black Purple Pink Brown Blue Purple Black Black\nBlack Black Black Green Black Black Red Purple Gray Brown Red Black\nBlack Black Yellow Brown Orange Black Yellow Blue Purple Purple Gray Black\nBlack Pink Pink Red Purple Gray Yellow Orange Purple Blue Blue Red\nBlack Purple Blue Red Purple Gray Green Blue Brown Brown Pink Black\nYellow Purple Orange Green Purple Purple Blue Orange Brown Orange Green Black\nBlack Purple Pink Orange Yellow Red Black Black Gray Black Black Black\nBlack Brown Orange Pink Gray Purple Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Red Black Black Blue Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Red Black Black Red Red Red Red Red Black\nBlack Black Red Red Red Black Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Black Black Red Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Orange Blue Yellow Black Black Black Black Black\nBlack Black Black Gray Green Purple Purple Pink Black Black Black Black\nBlack Black Black Black Pink Green Blue Black Black Black Black Black\nBlack Black Black Green Brown Pink Black Black Black Black Black Black\nBlack Black Gray Gray Yellow Gray Purple Orange Black Black Black Black\nBlack Black Black Blue Brown Orange Purple Blue Red Black Black Black\nBlack Black Black Black Purple Black Black 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\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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Gray Black Black Black Pink Black Black Black Black Black Black\nBlack Black Pink Green Blue Black Brown Gray Gray Black Black Black Black Black\nBlack Green Red Purple Orange Red Pink Pink Brown Green Black Black Black Black\nBlack Black Orange Yellow Purple Black Pink Blue Pink Black Black Black Black Black\nBlack Black Black Orange Black Red Orange Brown Black Black Black Black Black Black\nBlack Black Black Black Pink Blue Orange Purple Pink Black Black Black Black Black\nBlack Black Black Black Black Gray Blue Pink Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Purple Orange Black Black Black Black Black Black Black Black\nBlack 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\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 Green Black Black Black Green Black Black Black Black Black Black\nBlack Black Green Green Green Black Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Black Green Green Green Black Black Black Black Black\nBlack Black Black Green Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Black Pink Blue Black Black Black Black Black Black Black Black Black\nBlack Brown Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Orange Pink Pink\nBlack Black Black Black Black Black Green Black Black Green Purple Orange Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nRed Red Black Red Blue Black Black Black Black Black Black Black Black Black\nBlack Red Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Red Red Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Green 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\nBlack Black Black Red Red Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Red Red Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Green Black Black Green Green Red Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Purple Purple Blue Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Orange Yellow Blue Brown Black Black Black Black Black Black Black Black Blue Orange Blue\nBlack Black Orange Yellow Blue Brown Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Purple Purple Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Green Green Blue Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Red Red Blue Red Black Black Black Black Black Black Black Black Blue Red Blue\nBlack Black Red Red Blue Red Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Green Green Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Blue Green Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Blue Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black 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 Green Brown Purple Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Brown Purple Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Blue Green Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black 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 Green Red Green Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Red Green Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Gray Black Black Gray Black Black Black\nBlack Black Black Black Orange Blue Blue Orange Black Black Black\nBlack Black Black Black Yellow Orange Orange Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Blue Blue Blue Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Gray Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Green Pink Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Red Black Black Red Black Black Black\nBlack Black Black Black Red Blue Blue Red Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Green 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\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 Gray Blue Black Green Black Black Green Red Black Black Black Black Black Gray Black Black Blue Black Blue\nGreen Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Red Blue Green Black Black\nGreen Black Black Green Black Gray Black Black Blue Black Black Black Brown Blue Green Black Black Gray Black Black\nGray Black Green Black Black Black Blue Black Black Green Black Black Black Black Black Black Black Black Black Black\nGray Black Red Black Black Gray Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBrown Black Black Green Red Black Black Black Black Black Black Blue Black Blue Black Gray Black Black Black Black\nBlack Red Red Gray Black Black Green Black Black Black Blue Black Black Gray Black Black Black Black Black Black\nBlack Brown Black Blue Black Black Gray Red Black Blue Gray Gray Black Gray Black Black Green Black Black Black\nBlack Black Blue Black Blue Brown Black Black Black Black Black Black Brown Black Black Black Green Black Black Black\nBlack Blue Blue Black Black Black Blue Gray Black Green Black Black Blue Black Black Gray Black Black Black Blue\nBlack Black Gray Black Red Gray Gray Black Black Black Black Black Black Black Black Black Blue Gray Gray Black\nBlack Gray Black Black Black Black Black Black Black Red Red Gray Gray Black Black Black Black Blue Red Black\nRed Black Black Black Gray Blue Gray Black Black Black Black Black Blue Black Black Black Black Red Black Red\nBlack Black Black Black Black Black Blue Black Black Black Black Blue Black Gray Black Green Black Black Black Black\nBlack Black Black Black Gray Green Black Black Black Black Black Blue Black Gray Black Red Black Black Blue Black\nBlack Red Gray Black Red Black Black Black Black Gray Black Black Black Black Black Black Gray Black Brown Black\nBlue Black Black Black Black Brown Black Red Blue Green Black Black Blue Black Black Black Black Black Black Black\nGray Black Black Black Black Blue Black Black Black Black Black Green Black Black Black Blue Blue Red Red Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Black Gray Black Gray Black Black Black Blue Black\nGray Black Black Red Black Black Black Blue Black Green Black Black Black Black Black Black Black Red Black Gray\n\nOutput:\nBlack Gray Blue Black Green Black Black Green Red Black Black Black Black Black Gray Blue Blue Blue Blue Blue\nGreen Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Red Blue Green Black Blue\nGreen Black Black Green Black Gray Black Black Blue Black Black Black Brown Blue Green Black Black Gray Black Blue\nGray Black Green Black Black Black Blue Black Black Green Black Black Black Black Black Black Black Black Black Blue\nGray Black Red Black Black Gray Black Black Black Black Black Black Black Black Black Black Brown Black Black Blue\nBrown Black Black Green Red Black Black Black Black Black Black Blue Black Blue Black Gray Black Black Black Blue\nBlack Red Red Gray Black Black Green Black Black Black Blue Black Black Gray Black Black Black Black Black Blue\nBlack Brown Black Blue Black Black Gray Red Black Blue Gray Gray Black Gray Black Black Green Black Black Blue\nBlack Black Blue Black Blue Brown Black Black Black Black Black Black Brown Black Black Black Green Black Black Blue\nBlack Blue Blue Black Black Black Blue Gray Black Green Black Black Blue Black Black Gray Black Black Black Blue\nBlack Black Gray Black Red Gray Gray Black Black Black Black Black Black Black Black Black Blue Gray Gray Blue\nBlack Gray Black Black Black Black Black Black Black Red Red Gray Gray Black Black Black Black Blue Red Blue\nRed Black Black Black Gray Blue Gray Black Black Black Black Black Blue Black Black Black Black Red Black Red\nBlack Black Black Black Black Black Blue Black Black Black Black Blue Black Gray Black Green Black Black Black Black\nBlack Black Black Black Gray Green Black Black Black Black Black Blue Black Gray Black Red Black Black Blue Black\nBlack Red Gray Black Red Black Black Black Black Gray Black Black Black Black Black Black Gray Black Brown Black\nBlue Black Black Black Black Brown Black Red Blue Green Black Black Blue Black Black Black Black Black Black Black\nGray Black Black Black Black Blue Black Black Black Black Black Green Black Black Black Blue Blue Red Red Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Black Gray Black Gray Black Black Black Blue Black\nGray Black Black Red Black Black Black Blue Black Green Black Black Black Black Black Black Black Red Black Gray\n\n\nExample 2\nInput:\nBlue Red Black Black Black Blue Black Gray Yellow Black Black Black Black Black Blue Black Blue Black Black Red\nYellow Black Black Gray Black Gray Black Black Black Black Black Yellow Gray Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Blue Black Black Blue Red Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Blue Black Black Black Yellow Black Black Black Yellow Black Black Black Blue Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Yellow Black Gray Black Black Black Gray Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Yellow Black Black Yellow Black Black Black Blue Black Yellow Gray Black Black Black Gray Gray Black Blue Blue\nBlack Yellow Black Gray Black Gray Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Blue Gray Yellow Black Black Blue Black Black Black Yellow Black Black Black Black Black Yellow\nGray Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Blue\nBlack Black Blue Blue Black Black Black Black Black Gray Black Black Purple Black Black Gray Blue Blue Black Gray\nBlack Black Black Blue Yellow Black Black Black Black Black Black Black Gray Black Gray Black Black Black Black Black\nYellow Black Yellow Black Black Black Black Black Purple Black Black Black Blue Black Gray Yellow Black Black Black Red\nBlack Yellow Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Gray Black Blue Black\nBlue Purple Black Black Black Black Black Yellow Black Black Black Black Red Black Black Black Gray Black Red Black\nBlue Black Black Black Yellow Black Gray Black Gray Black Purple Yellow Black Gray Black Black Black Black Gray Yellow\nBlack Black Gray Blue Black Yellow Black Black Black Black Black Black Black Black Yellow Black Black Blue Black Black\nYellow Gray Black Black Black Black Black Blue Yellow Black Black Black Black Black Black Black Black Red Yellow Black\nBlack Gray Black Black Black Black Purple Black Black Black Black Black Black Black Yellow Yellow Black Black Black Gray\nBlue Black Blue Black Black Black Gray Black Black Black Black Black Black Blue Red Black Black Black Gray Black\n\nOutput:\nBlue Red Black Black Black Blue Black Gray Yellow Black Black Black Black Black Blue Black Blue Red Red Red\nYellow Black Black Gray Black Gray Black Black Black Black Black Yellow Gray Black Black Black Blue Black Black Red\nBlack Black Black Black Black Blue Black Blue Black Black Blue Red Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Blue Black Black Black Yellow Black Black Black Yellow Black Black Black Blue Black Red\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Gray Black Black Black Red\nBlack Black Yellow Black Gray Black Black Black Gray Black Black Black Black Black Yellow Black Black Black Black Red\nBlack Yellow Black Black Yellow Black Black Black Blue Black Yellow Gray Black Black Black Gray Gray Black Blue Blue\nBlack Yellow Black Gray Black Gray Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Blue Gray Yellow Black Black Blue Black Black Black Yellow Black Black Black Black Black Yellow\nGray Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Blue\nBlack Black Blue Blue Black Black Black Black Black Gray Black Black Purple Black Black Gray Blue Blue Black Gray\nBlack Black Black Blue Yellow Black Black Black Black Black Black Black Gray Black Gray Black Black Black Black Black\nYellow Black Yellow Black Black Black Black Black Purple Black Black Black Blue Black Gray Yellow Black Black Black Red\nBlack Yellow Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Gray Black Blue Black\nBlue Purple Black Black Black Black Black Yellow Black Black Black Black Red Black Black Black Gray Black Red Black\nBlue Black Black Black Yellow Black Gray Black Gray Black Purple Yellow Black Gray Black Black Black Black Gray Yellow\nBlack Black Gray Blue Black Yellow Black Black Black Black Black Black Black Black Yellow Black Black Blue Black Black\nYellow Gray Black Black Black Black Black Blue Yellow Black Black Black Black Black Black Black Black Red Yellow Black\nBlack Gray Black Black Black Black Purple Black Black Black Black Black Black Black Yellow Yellow Black Black Black Gray\nBlue Black Blue Black Black Black Gray Black Black Black Black Black Black Blue Red Black Black Black Gray Black\n\n\nExample 3\nInput:\nBrown Gray Black Black Black Black Black Orange Orange Black Black Black Purple Black Black Black Black Black Black Purple\nBlack Gray Black Black Gray Black Red Brown Gray Black Black Black Red Black Orange Black Gray Orange Black Brown\nGray Orange Gray Orange Red Purple Red Black Black Gray Black Black Black Gray Orange Gray Black Black Black Black\nBlack Black Black Black Orange Gray Black Black Black Orange Brown Black Gray Black Black Black Black Gray Red Black\nBlack Purple Black Black Black Black Black Black Gray Purple Black Red Gray Black Black Black Black Black Black Gray\nBlack Black Gray Black Black Black Black Black Gray Black Black Black Orange Gray Orange Black Black Red Black Black\nBlack Purple Black Orange Black Orange Black Gray Orange Orange Brown Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Red Black Gray Gray Gray Purple Black Black Black\nBlack Orange Gray Gray Black Black Orange Black Black Black Black Brown Black Black Purple Black Black Black Black Black\nOrange Orange Black Red Orange Black Black Black Black Black Black Orange Purple Orange Orange Black Black Black Black Black\nBlack Black Gray Black Brown Brown Black Black Orange Black Purple Black Gray Black Black Orange Black Black Red Purple\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Brown Black Brown Black Black Black\nGray Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Brown Black Brown Black Black\nBlack Black Black Black Purple Black Brown Black Black Black Black Black Purple Black Brown Black Brown Black Red Black\nGray Black Gray Purple Black Black Black Gray Gray Black Black Red Black Red Black Black Gray Black Brown Black\nBlack Red Brown Black Black Black Black Black Black Black Black Brown Gray Gray Black Orange Purple Orange Black Red\nBlack Orange Brown Purple Black Orange Black Purple Black Black Black Black Black Black Black Black Purple Orange Black Black\nBlack Black Black Black Black Black Orange Black Brown Black Black Black Gray Black Purple Black Orange Black Orange Red\nBlack Black Black Black Black Purple Black Black Black Brown Black Orange Brown Red Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Orange Black Black Gray Gray Black Black\n\nOutput:\nBrown Gray Black Black Black Black Black Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Gray Black Black Gray Black Red Brown Gray Black Black Black Red Black Orange Black Gray Orange Black Brown\nGray Orange Gray Orange Red Purple Red Black Black Gray Black Black Black Gray Orange Gray Black Black Black Black\nBlack Black Black Black Orange Gray Black Black Black Orange Brown Black Gray Black Black Black Black Gray Red Black\nBlack Purple Black Black Black Black Black Black Gray Purple Black Red Gray Black Black Black Black Black Black Gray\nBlack Black Gray Black Black Black Black Black Gray Black Black Black Orange Gray Orange Black Black Red Black Black\nBlack Purple Black Orange Black Orange Black Gray Orange Orange Brown Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Red Black Gray Gray Gray Purple Black Black Black\nBlack Orange Gray Gray Black Black Orange Black Black Black Black Brown Black Black Purple Black Black Black Black Black\nOrange Orange Black Red Orange Black Black Black Black Black Black Orange Purple Orange Orange Black Black Black Black Black\nBlack Black Gray Black Brown Brown Black Black Orange Black Purple Black Gray Black Black Orange Black Black Red Purple\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Brown Black Brown Black Black Black\nGray Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Brown Black Brown Black Black\nBlack Black Black Black Purple Black Brown Black Black Black Black Black Purple Black Brown Black Brown Black Red Black\nGray Black Gray Purple Black Black Black Gray Gray Black Black Red Black Red Black Black Gray Black Brown Black\nBlack Red Brown Black Black Black Black Black Black Black Black Brown Gray Gray Black Orange Purple Orange Black Red\nBlack Orange Brown Purple Black Orange Black Purple Black Black Black Black Black Black Black Black Purple Orange Black Black\nBlack Black Black Black Black Black Orange Black Brown Black Black Black Gray Black Purple Black Orange Black Orange Red\nBlack Black Black Black Black Purple Black Black Black Brown Black Orange Brown Red Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Orange Black Black Gray Gray Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Gray Black Black Gray Black Black Red Black Black Blue Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Gray Purple Gray Purple Black Black Black Red Blue Black Orange Black Orange\nBlack Black Purple Red Black Black Blue Black Gray Red Black Black Black Purple Black Black Gray Black Black Blue\nBlack Black Red Black Black Orange Black Blue Black Gray Purple Orange Black Black Black Black Purple Blue Black Black\nBlack Red Black Black Black Blue Black Orange Purple Black Black Orange Black Purple Black Gray Black Black Red Blue\nPurple Black Red Black Black Black Black Purple Gray Black Orange Red Black Black Blue Black Black Orange Black Black\nRed Orange Red Purple Blue Black Purple Black Black Orange Black Orange Black Black Purple Black Black Black Black Black\nGray Black Black Red Black Orange Orange Black Red Orange Black Black Black Black Black Purple Blue Black Black Black\nBlack Black Blue Red Black Black Orange Black Blue Black Black Black Purple Black Black Black Black Black Red Red\nBlack Black Black Black Purple Orange Red Black Red Black Purple Black Black Black Orange Black Red Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Purple Black Purple Black Purple Orange Black Black Black Purple\nBlack Purple Black Black Black Orange Red Black Black Black Blue Black Black Red Black Black Black Black Black Black\nOrange Black Black Black Black Black Gray Orange Black Blue Black Red Black Black Purple Black Black Black Black Black\nBlack Purple Black Orange Black Black Black Black Black Black Red Purple Black Black Purple Black Black Black Black Black\nBlack Black Black Black Red Purple Red Black Gray Black Black Black Red Red Black Black Purple Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Orange Black\nBlack Gray Black Black Blue Black Black Black Black Black Black Blue Black Black Black Black Orange Black Black Black\nRed Black Gray Red Purple Black Gray Black Blue Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Gray Red Black Black Black Purple Black Black Black Black Red Orange Orange Black Black\nBlack Gray Black Black Black Black Black Red Black Black Black Black Black Black Gray Purple Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Gray Black Black Gray Black Black Red Black Black Blue Red Red Black Black Black Purple Red\nBlack Black Black Black Black Black Black Gray Purple Gray Purple Red Red Red Red Blue Black Orange Red Orange\nBlack Black Purple Red Black Black Blue Black Gray Red Black Black Black Purple Red Red Gray Black Red Blue\nBlack Black Red Black Black Orange Black Blue Black Gray Purple Orange Red Red Red Red Purple Blue Red Black\nBlack Red Black Black Black Blue Black Orange Purple Black Black Orange Black Purple Red Gray Red Red Red Blue\nPurple Black Red Black Black Black Black Purple Gray Black Orange Red Black Black Blue Red Red Orange Red Red\nRed Orange Red Purple Blue Black Purple Black Black Orange Black Orange Black Black Purple Red Red Red Red Red\nGray Black Black Red Black Orange Orange Black Red Orange Black Black Black Black Black Purple Blue Red Red Red\nBlack Black Blue Red Black Black Orange Black Blue Black Black Black Purple Black Black Black Black Red Red Red\nBlack Black Black Black Purple Orange Red Black Red Black Purple Black Black Black Orange Black Red Red Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Purple Black Purple Black Purple Orange Black Red Black Purple\nBlack Purple Black Black Black Orange Red Black Black Black Blue Black Black Red Black Black Black Red Black Black\nOrange Black Black Black Black Black Gray Orange Black Blue Black Red Black Black Purple Black Black Red Black Black\nBlack Purple Black Orange Black Black Black Black Black Black Red Purple Black Black Purple Black Black Red Black Black\nBlack Black Black Black Red Purple Red Black Gray Black Black Black Red Red Black Black Purple Red Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Orange Black\nBlack Gray Black Black Blue Black Black Black Black Black Black Blue Black Black Black Black Orange Black Black Black\nRed Black Gray Red Purple Black Gray Black Blue Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Gray Red Black Black Black Purple Black Black Black Black Red Orange Orange Black Black\nBlack Gray Black Black Black Black Black Red Black Black Black Black Black Black Gray Purple Black Black Black Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Black Black Pink Pink Brown Brown Black Black Pink Pink Brown Brown Black Black\nOrange Orange Black Black Pink Pink Brown Brown Black Black Pink Pink Brown Brown Black Black\n\nOutput:\nOrange Orange Black Black Pink Pink Brown Brown Black Black Pink Pink Brown Brown Black Black\nOrange Orange Black Black Pink Pink Brown Brown Black Black Pink Pink Brown Brown Black Black\nOrange Orange Black Black Pink Pink Brown Brown Black Black Pink Pink Brown Brown Black Black\nOrange Orange Black Black Pink Pink Brown Brown Black Black Pink Pink Brown Brown Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Red Black Black Red Red\nBlack Black Black Black Red Red Black Black Red Red\n\nOutput:\nBlack Black Black Black Red Red Black Black Red Red\nBlack Black Black Black Red Red Black Black Red Red\nBlack Black Black Black Red Red Black Black Red Red\nBlack Black Black Black Red Red Black Black Red Red\n\n\nExample 3\nInput:\nBrown Brown Red Red Black Black Blue Blue Pink Pink\nBrown Brown Red Red Black Black Blue Blue Pink Pink\n\nOutput:\nBrown Brown Red Red Black Black Blue Blue Pink Pink\nBrown Brown Red Red Black Black Blue Blue Pink Pink\nBrown Brown Red Red Black Black Blue Blue Pink Pink\nBrown Brown Red Red Black Black Blue Blue Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Gray Gray Black Black Black Black Black Black Blue Blue Black Black\nPink Pink Gray Gray Black Black Black Black Black Black Blue Blue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Gray Gray Black Black Black Black Black Black Blue Blue Black Black\nPink Pink Gray Gray Black Black Black Black Black Black Blue Blue Black Black\nPink Pink Gray Gray Black Black Black Black Black Black Blue Blue Black Black\nPink Pink Gray Gray 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:\nRed Red Black Black Black Red Red Blue Red Black Black Red Red Black Red\nBlack Black Red Black Red Red Black Blue Black Red Black Black Black Red Red\nRed Red Red Black Black Red Red Blue Black Red Black Red Red Black Black\nRed Red Red Red Red Black Black Blue Red Red Black Red Red Black Black\nRed Red Red Red Red Red Red Blue Red Black Black Black Red Red Black\n\nOutput:\nYellow Black Black Black Black Black Yellow\nBlack Black Black Black Black Yellow Black\nBlack Yellow Black Black Black Black Black\nYellow Yellow Black Yellow Yellow Black Black\nYellow Black Black Black Yellow Yellow Black\n\n\nExample 2\nInput:\nRed Red Red Red Blue Black Black Red Red\nRed Red Red Black Blue Black Red Red Red\nBlack Red Red Red Blue Red Red Red Black\nBlack Black Red Red Blue Red Red Black Black\nRed Black Red Red Blue Red Black Black Black\nBlack Black Black Red Blue Black Black Black Black\nRed Black Red Red Blue Red Red Black Red\n\nOutput:\nBlack Black Yellow Yellow\nBlack Yellow Yellow Black\nBlack Yellow Yellow Black\nBlack Black Black Black\nYellow Black Black Black\nBlack Black Black Black\nYellow Black Black Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Blue Red Black Red Black\nRed Black Red Red Blue Black Black Red Red\nRed Black Red Red Blue Black Black Red Red\nRed Black Black Black Blue Black Red Black Black\nBlack Black Black Black Blue Black Red Red Black\nBlack Red Black Red Blue Red Red Black Black\nRed Black Black Black Blue Black Black Red Black\nRed Red Red Red Blue Black Red Black Red\n\nOutput:\nBlack Black Black Black\nBlack Black Yellow Yellow\nBlack Black Yellow Yellow\nBlack Black Black Black\nBlack Black Black Black\nBlack Yellow Black Black\nBlack Black Black Black\nBlack Yellow Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Black Red Black Red Blue Black Black Black Black Red Black\nRed Black Red Black Black Red Blue Red Red Black Red Red Red\nRed Red Red Red Black Black Blue Red Red Red Black Red Black\nRed Black Black Black Black Red Blue Black Black Black Black Black Red\nBlack Black Black Black Red Black Blue Red Red Black Black Black Red\nRed Black Red Red Red Black Blue Red Black Red Black Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nYellow Black Black Black Black Yellow\nYellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow\nBlack Black Black Black Black Black\nYellow Black Yellow Black 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:\nBlack Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black 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\nYellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple\nGreen Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple\nGreen Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Pink Pink Pink Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Pink Pink Pink Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Pink Pink Pink Blue Blue Blue Blue Blue Blue\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Pink Pink Pink Brown Brown Brown\nGreen Green Green Green Green Green Pink Pink Pink Brown Brown Brown\nGreen Green Green Green Green Green Pink Pink Pink Brown Brown Brown\n\nOutput:\nGreen Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Green Green Green\nGreen Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Green Green Green\nGreen Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Green Green Green\nBrown Brown Brown Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Brown Brown Brown\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nGreen Green Green Green Green Green Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Green Green Green Green Green Green\nGreen Green Green Green Green Green Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Green Green Green Green Green Green\nGreen Green Green Green Green Green Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Green Green Green Green Green Green\n\n\nExample 2\nInput:\nOrange Orange Orange Blue Blue Blue Green Green Green Green Green Green\nOrange Orange Orange Blue Blue Blue Green Green Green Green Green Green\nOrange Orange Orange Blue Blue Blue Green Green Green Green Green Green\nBlue Blue Blue Brown Brown Brown Green Green Green Brown Brown Brown\nBlue Blue Blue Brown Brown Brown Green Green Green Brown Brown Brown\nBlue Blue Blue Brown Brown Brown Green Green Green Brown Brown Brown\nGray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nOrange Orange Orange Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Orange Orange Orange\nBlue Blue Blue Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Green Green Green Brown Brown Brown Blue Blue Blue\nGray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray\nGray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray\nGray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Red Red Red Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Red Red Red Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Red Red Red Brown Brown Brown\nYellow Yellow Yellow Red Red Red Red Red Red Brown Brown Brown\nYellow Yellow Yellow Red Red Red Red Red Red Brown Brown Brown\nYellow Yellow Yellow Red Red Red Red Red Red Brown Brown Brown\n\nOutput:\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Brown Brown Brown Purple Purple Purple Green Green Green Green Green Green\nYellow Yellow Yellow Brown Brown Brown Purple Purple Purple Green Green Green Green Green Green\nYellow Yellow Yellow Brown Brown Brown Purple Purple Purple Green Green Green Green Green Green\nPink Pink Pink Brown Brown Brown Blue Blue Blue Green Green Green Brown Brown Brown\nPink Pink Pink Brown Brown Brown Blue Blue Blue Green Green Green Brown Brown Brown\nPink Pink Pink Brown Brown Brown Blue Blue Blue Green Green Green Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown 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 Brown Brown Brown Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow\nPink Pink Pink Brown Brown Brown Blue Blue Blue Green Green Green Brown Brown Brown Brown Brown Brown Green Green Green Blue Blue Blue Brown Brown Brown Pink Pink Pink\nPink Pink Pink Brown Brown Brown Blue Blue Blue Green Green Green Brown Brown Brown Brown Brown Brown Green Green Green Blue Blue Blue Brown Brown Brown Pink Pink Pink\nPink Pink Pink Brown Brown Brown Blue Blue Blue Green Green Green Brown Brown Brown Brown Brown Brown Green Green Green Blue Blue Blue Brown Brown Brown Pink Pink Pink\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow\n```",
"role": "assistant"
}
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black 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 Yellow Black Black\nBlack Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Black\nBlack Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black\nRed 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 Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black 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:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Green Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Black Black Black Black Black Black Purple Purple Purple Purple\nGray Gray Black Black Black Black Black Black Purple Purple Purple Purple\nGray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Black Black Black Black Black Black Purple Purple Purple Purple\nGray Gray Black Black Black Black Black Black Purple Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Black Black Gray Gray Black Black Purple Purple\nGray Gray Gray Gray Black Black Gray Gray Black Black Purple Purple\nGray Gray Gray Gray Black Black Gray Gray Black Black Purple Purple\nGray Gray Gray Gray Black Black Gray Gray Black Black Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\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 Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray\nOrange Orange Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray\nOrange Orange Brown Brown Black Black Black Black Brown Brown Gray Gray\nOrange Orange Brown Brown Black Black Black Black Brown Brown Gray Gray\nOrange Orange Brown Brown Black Black Black Black Brown Brown Gray Gray\nOrange Orange Brown Brown Black Black Black Black Brown Brown Gray Gray\nOrange Orange Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray\nOrange Orange Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray\nOrange Orange Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray\nOrange Orange Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray\nOrange Orange Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray\nOrange Orange Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Gray Gray\nOrange Orange Black Black Black Black Black Black Black Black Gray Gray\nOrange Orange Black Black Black Black Black Black Black Black Gray Gray\nOrange Orange Black Black Black Black Black Black Black Black Gray Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\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\nGreen Green Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nGreen Green Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nGreen Green Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nGreen Green Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nGreen Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray\nGreen Green Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray\nRed 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\n\nOutput:\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\nGreen Green Green Green Green Green Green Green Black Black Black Black Gray Gray\nGreen Green Green Green Green Green Green Green Black Black Black Black Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Green Green Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Green Green Gray Gray\nGreen Green Black Black Green Green Green Green Green Green Green Green Gray Gray\nGreen Green Black Black Green Green Green Green Green Green Green Green Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Green Green Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Green Green Gray Gray\nGreen Green Green Green Green Green Green Green Black Black Black Black Gray Gray\nGreen Green Green Green Green Green Green Green Black Black Black Black Gray Gray\nRed 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\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Brown Brown Brown Brown Brown Brown Purple Purple\nGreen Green Brown Brown Brown Brown Brown Brown Purple Purple\nGreen Green Brown Brown Brown Brown Black Black Purple Purple\nGreen Green Brown Brown Brown Brown Black Black Purple Purple\nGreen Green Brown Brown Brown Brown Brown Brown Purple Purple\nGreen Green Brown Brown Brown Brown Brown Brown Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Purple Purple\nGreen Green Green Green Green Green Green Green Purple Purple\nGreen Green Green Green Green Green Green Green Purple Purple\nGreen Green Green Green Green Green Green Green Purple Purple\nGreen Green Green Green Black Black Green Green Purple Purple\nGreen Green Green Green Black Black Green Green Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black 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 Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Black Gray Yellow Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack 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 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 Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow 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\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\nYellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Yellow 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 Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Gray Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Gray Black Black Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Purple\nPurple Yellow Purple\nPurple Purple Purple\n\nOutput:\nPurple Purple Purple\nPurple Purple Purple\nPurple Purple Purple\n\n\nExample 2\nInput:\nGray Gray Gray\nGray Purple Gray\nGray Gray Gray\n\nOutput:\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\n\n\nExample 3\nInput:\nBlue Blue Blue\nBlue Pink Blue\nBlue Blue Blue\n\nOutput:\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray\nGray Red Gray\nGray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray\nGray Gray Gray\nGray 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 Brown Green Green Red Red Brown Brown\nBrown Brown Green Green Red Red Brown Brown\nBrown Brown Green Green Orange Orange Blue Blue\nBrown Brown Green Green Orange Orange Blue Blue\nPink Pink Blue Blue Blue Blue Blue Blue\nPink Pink Blue Blue Blue Blue Blue Blue\nPink Pink Blue Blue Blue Blue Gray Gray\nPink Pink Blue Blue Blue Blue Gray Gray\nOrange Orange Orange Orange Blue Blue Yellow Yellow\nOrange Orange Orange Orange Blue Blue Yellow Yellow\nOrange Orange Gray Gray Blue Blue Yellow Yellow\nOrange Orange Gray Gray Blue Blue Yellow Yellow\n\nOutput:\nBrown Brown Green Green Red Red Brown Brown Brown Brown Red Red Green Green Brown Brown\nBrown Brown Green Green Red Red Brown Brown Brown Brown Red Red Green Green Brown Brown\nBrown Brown Green Green Orange Orange Blue Blue Blue Blue Orange Orange Green Green Brown Brown\nBrown Brown Green Green Orange Orange Blue Blue Blue Blue Orange Orange Green Green Brown Brown\nPink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue Pink Pink\nOrange Orange Orange Orange Blue Blue Yellow Yellow Yellow Yellow Blue Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Blue Yellow Yellow Yellow Yellow Blue Blue Orange Orange Orange Orange\nOrange Orange Gray Gray Blue Blue Yellow Yellow Yellow Yellow Blue Blue Gray Gray Orange Orange\nOrange Orange Gray Gray Blue Blue Yellow Yellow Yellow Yellow Blue Blue Gray Gray Orange Orange\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue\nOrange Orange Orange Orange Blue Blue Pink Pink Yellow Yellow\nOrange Orange Orange Orange Blue Blue Pink Pink Yellow Yellow\nRed Red Orange Orange Orange Orange Purple Purple Yellow Yellow\nRed Red Orange Orange Orange Orange Purple Purple Yellow Yellow\nRed Red Orange Orange Green Green Green Green Orange Orange\nRed Red Orange Orange Green Green Green Green Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Blue Pink Pink Yellow Yellow Yellow Yellow Pink Pink Blue Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Blue Pink Pink Yellow Yellow Yellow Yellow Pink Pink Blue Blue Orange Orange Orange Orange\nRed Red Orange Orange Orange Orange Purple Purple Yellow Yellow Yellow Yellow Purple Purple Orange Orange Orange Orange Red Red\nRed Red Orange Orange Orange Orange Purple Purple Yellow Yellow Yellow Yellow Purple Purple Orange Orange Orange Orange Red Red\nRed Red Orange Orange Green Green Green Green Orange Orange Orange Orange Green Green Green Green Orange Orange Red Red\nRed Red Orange Orange Green Green Green Green Orange Orange Orange Orange Green Green Green Green Orange Orange Red Red\n\n\nExample 3\nInput:\nOrange Orange Purple Purple Red Red Gray Gray Pink Pink\nOrange Orange Purple Purple Red Red Gray Gray Pink Pink\nBrown Brown Brown Brown Red Red Blue Blue Gray Gray\nBrown Brown Brown Brown Red Red Blue Blue Gray Gray\nPurple Purple Brown Brown Red Red Red Red Yellow Yellow\nPurple Purple Brown Brown Red Red Red Red Yellow Yellow\nOrange Orange Orange Orange Gray Gray Gray Gray Brown Brown\nOrange Orange Orange Orange Gray Gray Gray Gray Brown Brown\nOrange Orange Blue Blue Blue Blue Gray Gray Gray Gray\nOrange Orange Blue Blue Blue Blue Gray Gray Gray Gray\n\nOutput:\nOrange Orange Purple Purple Red Red Gray Gray Pink Pink Pink Pink Gray Gray Red Red Purple Purple Orange Orange\nOrange Orange Purple Purple Red Red Gray Gray Pink Pink Pink Pink Gray Gray Red Red Purple Purple Orange Orange\nBrown Brown Brown Brown Red Red Blue Blue Gray Gray Gray Gray Blue Blue Red Red Brown Brown Brown Brown\nBrown Brown Brown Brown Red Red Blue Blue Gray Gray Gray Gray Blue Blue Red Red Brown Brown Brown Brown\nPurple Purple Brown Brown Red Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red Brown Brown Purple Purple\nPurple Purple Brown Brown Red Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red Brown Brown Purple Purple\nOrange Orange Orange Orange Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray Orange Orange Orange Orange\nOrange Orange Orange Orange Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray Orange Orange Orange Orange\nOrange Orange Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Orange Orange\nOrange Orange Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Yellow Yellow Red Red\nPurple Purple Yellow Yellow Red Red\nBlue Blue Blue Blue Pink Pink\nBlue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue\nPink Pink 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```\nPurple Purple Yellow Yellow Red Red Red Red Yellow Yellow Purple Purple\nPurple Purple Yellow Yellow Red Red Red Red Yellow Yellow Purple Purple\nBlue Blue Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue\nBlue Blue Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue\nPink Pink Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue 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\nBlack Black Black 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 Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue\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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nOrange Orange Orange Black Black Black Green Green Green Black Black Black Black Black Black Gray Gray Gray\nOrange Orange Orange Black Black Black Green Green Green Black Black Black Black Black Black Gray Gray Gray\nOrange Orange Orange Black Black Black Green Green Green Black Black Black Black Black Black Gray Gray Gray\nBlue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Green Green Green Black Black Black Red Red Red Yellow Yellow Yellow Black Black Black\nPurple Purple Purple Green Green Green Black Black Black Red Red Red Yellow Yellow Yellow Black Black Black\nPurple Purple Purple Green Green Green Black Black Black Red Red Red Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green\nPink Pink Pink Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Orange Orange Orange\nPink Pink Pink Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Orange Orange Orange\nPink Pink Pink Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Gray Gray Gray Black Black Black Black Black Black Green Green Green Orange Orange Orange Black Black Black Black Black Black\nPink Pink Pink Gray Gray Gray Black Black Black Black Black Black Green Green Green Orange Orange Orange Black Black Black Black Black Black\nPink Pink Pink Gray Gray Gray Black Black Black Black Black Black Green Green Green Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Blue Blue Blue Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Blue Blue Blue Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Blue Blue Blue Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Brown Brown Brown Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Orange Orange Orange Pink Pink Pink Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBlack Black Black Green Green Green Black Black Black Orange Orange Orange Pink Pink Pink Purple Purple Purple Brown Brown Brown Brown Brown Brown\nBlack Black Black Green Green Green Black Black Black Orange Orange Orange Pink Pink Pink Purple Purple Purple Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Blue Blue Blue Black Black Black Blue Blue Blue Purple Purple Purple Blue Blue Blue Orange Orange Orange Black Black Black\nPurple Purple Purple Blue Blue Blue Black Black Black Blue Blue Blue Purple Purple Purple Blue Blue Blue Orange Orange Orange Black Black Black\nPurple Purple Purple Blue Blue Blue Black Black Black Blue Blue Blue Purple Purple Purple Blue Blue Blue Orange Orange Orange Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black\nGray Gray Gray Red Red Red Purple Purple Purple Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Purple Purple Purple Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Purple Purple Purple Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray Black Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Gray Gray Gray Black Black Black\nRed Red Red Purple Purple Purple Blue Blue Blue Pink Pink Pink Black Black Black\nRed Red Red Purple Purple Purple Blue Blue Blue Pink Pink Pink Black Black Black\nRed Red Red Purple Purple Purple Blue Blue Blue Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Purple Purple Purple Black Black Black Brown Brown Brown\nBlack Black Black Pink Pink Pink Purple Purple Purple Black Black Black Brown Brown Brown\nBlack Black Black Pink Pink Pink Purple Purple Purple Black Black Black Brown Brown Brown\nRed Red Red Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Green Green Green Blue Blue Blue Yellow Yellow Yellow Red Red Red\nBlack Black Black Green Green Green Blue Blue Blue Yellow Yellow Yellow Red Red Red\nBlack Black Black Green Green Green Blue Blue Blue Yellow Yellow Yellow Red Red Red\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Gray Gray Gray\n\n\nExample 3\nInput:\nYellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Pink Pink Pink Blue Blue Blue Black Black Black Red Red Red Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Pink Pink Pink Blue Blue Blue Black Black Black Red Red Red Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Pink Pink Pink Blue Blue Blue Black Black Black Red Red Red Black Black Black\nBlack Black Black Gray Gray Gray Orange Orange Orange Black Black Black Gray Gray Gray Brown Brown Brown Black Black Black Purple Purple Purple Green Green Green\nBlack Black Black Gray Gray Gray Orange Orange Orange Black Black Black Gray Gray Gray Brown Brown Brown Black Black Black Purple Purple Purple Green Green Green\nBlack Black Black Gray Gray Gray Orange Orange Orange Black Black Black Gray Gray Gray Brown Brown Brown Black Black Black Purple Purple Purple Green Green Green\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nRed Red Red Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black\nRed Red Red Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black\nRed Red Red Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Orange Orange Orange Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Orange Orange Orange Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Orange Orange Orange Brown Brown Brown\nBlue Blue Blue Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black\nBlue Blue Blue Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black\nBlue Blue Blue Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black\nPink Pink Pink Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue\nPink Pink Pink Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue\nPink Pink Pink Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black\nBlack Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Gray Gray Gray\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Gray Gray Gray\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Black Black Black\nPurple Purple Purple Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink\nPurple Purple Purple Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink\nPurple Purple Purple Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Green Green Green Red Red Red Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Black Black Black Purple Purple Purple Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Brown Brown Brown Red Red Red Black Black Black Purple Purple Purple\nBlue Blue Blue Black Black Black Black Black Black Brown Brown Brown Red Red Red Black Black Black Purple Purple Purple\nBlue Blue Blue Black Black Black Black Black Black Brown Brown Brown Red Red Red Black Black Black Purple Purple Purple\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Black Black Black\nGray Gray Gray Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Black Black Black\nGray Gray Gray Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Orange Orange Orange Blue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Blue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Blue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Brown Brown Brown Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Brown Brown Brown Purple Purple Purple Black Black Black\nBlue Blue Blue Purple Purple Purple Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Red Red Red\nBlue Blue Blue Purple Purple Purple Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Red Red Red\nBlue Blue Blue Purple Purple Purple Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Red Red Red\nBlack Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black\nGray Gray Gray Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Orange Orange Orange Black Black Black\nGray Gray Gray Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Orange Orange Orange Black Black Black\nGray Gray Gray Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Orange Orange Orange Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Black Purple Black Black Black Black Black Purple Black Black Black Black Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Purple Black Purple Purple Black Purple Black\nBlack Black Gray Gray Purple Purple Purple Purple Black Purple Black Purple Black Purple Black Purple Purple\nPurple Purple Gray Gray Purple Black Purple Purple Purple Black Purple Purple Purple Black Black Purple Purple\nPurple Black Purple Purple Black Black Purple Purple Purple Black Black Black Purple Purple Black Purple Black\nBlack Black Purple Purple Purple Purple Black Purple Purple Black Purple Purple Black Black Purple Black Purple\nPurple Purple Purple Purple Purple Black Purple Purple Black Black Purple Purple Purple Purple Purple Black Purple\nPurple Black Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Black Purple Black Purple\nPurple Purple Purple Purple Black Purple Black Black Purple Purple Black Purple Black Purple Purple Black Purple\nPurple Black Purple Black Purple Purple Purple Black Purple Black Purple Purple Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Black Purple Purple Purple Purple\nBlack Purple Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple\nBlack Purple Black Black Black Black Purple Purple Black Purple Purple Black Black Purple Black Purple Purple\n\nOutput:\nPurple Purple Black Purple Black Black Black Black Black Purple Black Black Black Black Purple Black Black\nBlack Black Black Purple Blue Blue Blue Blue Purple Black Purple Black Purple Purple Black Purple Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Purple Black Purple Black Purple Black Blue Blue\nPurple Purple Blue Blue Purple Black Blue Blue Blue Black Purple Purple Purple Black Black Blue Blue\nPurple Black Blue Blue Black Black Blue Blue Blue Black Black Black Purple Purple Black Purple Black\nBlack Black Blue Blue Blue Purple Black Blue Blue Black Blue Blue Black Black Purple Black Purple\nPurple Purple Blue Blue Blue Black Blue Blue Black Black Blue Blue Blue Purple Purple Black Purple\nPurple Black Purple Black Purple Purple Blue Blue Purple Black Blue Blue Blue Black Purple Black Purple\nPurple Purple Purple Purple Black Purple Black Black Purple Purple Black Purple Black Purple Purple Black Purple\nPurple Black Purple Black Blue Blue Blue Black Purple Black Purple Purple Black Black Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Blue Purple Black Purple Purple Black Black Blue Blue Blue Blue\nBlack Purple Black Blue Blue Blue Blue Black Black Black Black Black Purple Blue Blue Blue Blue\nBlack Purple Black Black Black Black Purple Purple Black Purple Purple Black Black Purple Black Blue Blue\n\n\nExample 2\nInput:\nBlack Purple Black Purple Purple Purple Black Purple Purple Black Purple Black Black Purple Purple\nPurple Black Purple Black Purple Black Black Purple Black Purple Purple Purple Black Purple Black\nPurple Black Black Purple Purple Purple Black Purple Black Purple Black Purple Purple Purple Purple\nPurple Black Purple Black Purple Purple Black Purple Purple Purple Orange Orange Purple Purple Black\nPurple Purple Purple Black Black Black Purple Purple Purple Purple Orange Orange Black Purple Purple\nPurple Purple Purple Purple Black Purple Black Black Purple Black Purple Black Black Black Purple\nBlack Purple Black Black Black Purple Purple Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Purple Purple Purple Purple Black Black Black Purple Black Black Purple\nPurple Purple Black Purple Purple Purple Purple Black Black Purple Purple Black Purple Black Black\nBlack Purple Black Purple Purple Black Black Purple Purple Black Purple Black Purple Purple Purple\nBlack Purple Black Purple Purple Black Purple Black Purple Purple Black Purple Purple Purple Purple\nBlack Black Purple Purple Black Purple Purple Purple Black Black Purple Purple Black Purple Purple\n\nOutput:\nBlack Purple Black Purple Purple Purple Black Purple Purple Black Purple Black Black Purple Purple\nPurple Black Purple Black Purple Black Black Purple Black Purple Purple Purple Black Purple Black\nPurple Black Black Purple Blue Blue Black Purple Black Purple Black Purple Blue Blue Purple\nPurple Black Purple Black Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Black Black Black Purple Blue Blue Blue Blue Blue Black Purple Purple\nBlue Blue Blue Purple Black Purple Black Black Purple Black Purple Black Black Black Purple\nBlack Purple Black Black Black Blue Blue Black Black Purple Purple Purple Purple Purple Purple\nBlue Blue Purple Black Blue Blue Blue Purple Black Black Black Purple Black Black Purple\nBlue Blue Black Blue Blue Blue Blue Black Black Purple Purple Black Purple Black Black\nBlack Purple Black Blue Blue Black Black Purple Purple Black Purple Black Blue Blue Blue\nBlack Purple Black Blue Blue Black Purple Black Purple Purple Black Purple Blue Blue Blue\nBlack Black Purple Purple Black Purple Purple Purple Black Black Purple Purple Black Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Pink Pink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Pink\nPink Black Pink Black Pink Pink Black Pink Pink Black Black Pink Black Pink Black Black\nPink Pink Pink Pink Black Pink Black Pink Pink Black Pink Pink Black Pink Pink Pink\nPink Black Black Pink Black Black Pink Pink Pink Black Pink Black Pink Pink Pink Black\nPink Black Black Black Black Pink Pink Black Pink Black Pink Pink Pink Black Pink Pink\nPink Pink Gray Gray Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink\nPink Pink Gray Gray Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black Pink\nBlack Pink Pink Pink Black Black Pink Black Black Black Black Black Pink Pink Pink Pink\nPink Black Black Pink Pink Black Black Pink Pink Black Black Black Pink Pink Pink Black\nBlack Pink Black Pink Black Pink Black Pink Pink Pink Pink Pink Pink Black Pink Pink\nPink Black Pink Pink Black Black Black Black Pink Black Pink Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Pink Pink Pink Black Pink Black Black Black Black Black\n\nOutput:\nBlack Black Black Pink Blue Blue Pink Black Pink Pink Black Pink Pink Pink Pink Pink\nPink Black Pink Black Blue Blue Black Blue Blue Black Black Pink Black Pink Black Black\nPink Pink Pink Pink Black Pink Black Blue Blue Black Pink Pink Black Blue Blue Pink\nPink Black Black Pink Black Black Pink Blue Blue Black Pink Black Pink Blue Blue Black\nPink Black Black Black Black Blue Blue Black Pink Black Pink Pink Pink Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Pink Pink Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Black Pink Pink Pink Pink Blue Blue Black Pink\nBlack Pink Pink Pink Black Black Pink Black Black Black Black Black Blue Blue Blue Pink\nPink Black Black Pink Pink Black Black Blue Blue Black Black Black Blue Blue Blue Black\nBlack Pink Black Pink Black Pink Black Blue Blue Pink Pink Pink Pink Black Blue Blue\nPink Black Blue Blue Black Black Black Black Pink Black Pink Black Pink Pink Blue Blue\nPink Pink Blue Blue Black Black Pink Pink Pink Black Pink Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Orange Black Orange Black Black Black Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Orange Orange Orange Black Orange Orange Orange Black Black Black\nOrange Black Black Orange Black Orange Orange Black Orange Black Orange Orange Orange Black\nOrange Black Black Black Orange Orange Black Orange Black Orange Black Orange Black Orange\nOrange Black Orange Black Orange Black Black Orange Orange Black Brown Brown Orange Black\nBlack Orange Orange Black Orange Orange Orange Orange Orange Orange Brown Brown Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Black Orange Orange Black Black Orange Orange Black Orange\nOrange Orange Orange Orange Orange Black Black Orange Black Orange Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black\nBlack Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black Orange\nBlack Orange Orange Orange Black Orange Orange Orange Black Orange Black Black Orange Orange\nOrange Black Orange Orange Orange Black Orange Black Black Orange Black Orange Orange Orange\nBlack Black Orange Black Black Orange Orange Orange Orange Black Orange Black Orange Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Orange Black Orange Black Black Black Orange Blue Blue Blue Orange Orange Black\nBlack Black Black Black Orange Blue Blue Black Blue Blue Blue Black Black Black\nOrange Black Black Orange Black Blue Blue Black Orange Black Orange Orange Orange Black\nOrange Black Black Black Orange Orange Black Orange Black Orange Black Orange Black Orange\nOrange Black Orange Black Orange Black Black Blue Blue Black Blue Blue Orange Black\nBlack Blue Blue Black Blue Blue Blue Blue Blue Orange Blue Blue Orange Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Orange Blue Blue Orange Orange\nBlack Black Blue Blue Blue Black Blue Blue Black Black Blue Blue Black Orange\nBlue Blue Blue Blue Blue Black Black Orange Black Orange Black Black Black Orange\nBlue Blue Blue Blue Blue Orange Black Blue Blue Blue Black Orange Orange Black\nBlack Blue Blue Black Orange Black Blue Blue Blue Blue Orange Orange Black Orange\nBlack Blue Blue Blue Black Orange Blue Blue Black Orange Black Black Blue Blue\nOrange Black Blue Blue Orange Black Orange Black Black Orange Black Orange Blue Blue\nBlack Black Orange Black Black Orange Orange Orange Orange Black Orange Black Orange Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green 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\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 Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack 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 Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\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 Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 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\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 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 Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Brown Brown Black Green Green Black\nBlack Brown Brown Black Green Green Black\nBlack Black Black Black Gray Gray Black\nBlack Black Black Black Gray Gray Black\nBlack Black Blue Blue Black Black Black\nBlack Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Green Green Black\nBlack Green Green Black\nBlack Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Purple Purple Black\nBlack Gray Gray Black Pink Pink Purple Purple Black\nBlack Red Red Black Pink Pink Black Black Black\nBlack Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Purple Purple Black\nBlack Purple Purple Black\nBlack Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Gray Gray Black\nBlack Pink Pink Blue Blue Gray Gray Black\nBlack Black Black Blue Blue Orange Orange Black\nBlack Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Gray Gray Black\nBlack Gray Gray Black\nBlack 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 Blue Blue Orange Orange Black Black\nBlack Black Blue Blue Orange Orange Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Yellow Brown Brown Black Black Black\nBlack Yellow Yellow Brown Brown 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\nOrange Orange Black Black\nOrange Orange 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\nBlack Black Green Green Black Black Red Red Black Black Black Black\nBlack Black Green Green Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Yellow Yellow Black Black Black Black Black\nBlack Black Green Green Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Red Black Black Black\nBlack Black Black Green Green Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Black Black Black Black Black\nBlack Black Black Green Green Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Green Green Black Black Black Red Black Black Red Black Black Black\nBlack Black Green Green Black Black Black Red Black Black Red 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Green Green Yellow Black Black Yellow Black Black Black Black Black Black\nBlack Black Green Green Yellow Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black\nBlack Green Green Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black\nBlack Green Green Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Blue Blue Blue Blue\nBlack Red Red Red Red Black Black Blue Blue\nBlack Black Red Red Red Blue Blue Blue Blue\nBlack Black Red Red Red Black Black Black Black\nBlack Black Red Red Red Black Black Black Black\nBlack Red Red Red Red Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black\n\nOutput:\nGray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black\nBlack Brown Black Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black\nBlack Brown Black Brown Brown Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nGray Gray Gray Green Green Green Green Black Black Black\nBlack Gray Gray Green Green Green Green Black Black Black\nGray Gray Gray Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black\nOrange Orange Orange Orange Orange Black Pink Pink Black Black\nOrange Black Orange Orange Orange Black Pink Pink Black Black\nOrange Black Orange Orange Orange Pink Pink Pink Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black\n\nOutput:\nGray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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```\nGray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray 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 Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black 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 Red 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\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray 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 Gray Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray 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 Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Green Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Green Black Green Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Gray Gray Black Black Black Black Black Green Green Green Green Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Gray Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Green\nGreen Black Green\nGreen Black Green\nGreen Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Gray Gray Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Gray Gray Purple Purple Black Purple Purple\nBlack Black Black Gray Gray Gray Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray\nGray Gray\nGray Gray\nGray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black Green\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Green\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Red Red Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Brown Black Black Purple Purple Purple Purple\nBlack Black Black Black Brown Brown Brown Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Black Black\nPurple Purple Purple Black Black\nBlack Purple Black Black Black\nBlack Purple Purple Purple Purple\nBlack Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Orange Orange Orange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Orange Orange Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black Yellow Yellow Black Black Black\nBlack Black Orange Black Orange Orange Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow 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 Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Yellow Black Black Black Orange Orange Orange Black Black Black Black Yellow Black Black\nBlack Yellow Yellow Black Black Orange Orange Orange 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 Black Orange Orange Black\nOrange Orange Orange Orange Orange\nOrange Black Orange Orange Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Orange Green Orange Black\nBlack Black Black Brown Purple Purple Green Green Green Black\nBlack Black Black Brown Purple Purple Orange Green Orange Black\nBlack Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Orange Purple Yellow Yellow Black\nBlack Black Black Black Black Orange Orange Green Green Black\nBlack Black Black Black Black Pink Purple Green Green Black\nBlack Black Black Black Black Gray Purple Green Green 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 Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Purple Purple Brown Black Black Black\nGray Pink Orange Orange Black Brown Purple Purple Brown Black Black Black\nPurple Purple Orange Purple Blue Brown Orange Green Orange Black Black Black\nGreen Green Green Yellow Blue Black Green Green Green Black Black Black\nGreen Green Green Yellow Blue Black Orange Green Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Yellow Yellow Orange\nBlack Black Orange Orange Purple Purple Green\nBlack Black Orange Orange Orange Orange Green\nBlack Black Black Red Red Red Red\nBlack Black Black Black Black Black Black\nBlack 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 Orange Orange Black Black Black Black\nBlack Black Red Orange Orange Orange Black Black Black\nBlack Black Red Orange Purple Yellow Black Black Black\nBlack Black Red Orange Purple Yellow Black Black Black\nBlack Black Red Green Green Orange Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Pink Pink Orange Black Black\nBlack Red Orange Red Red Purple Yellow\nBlack Pink Gray Green Pink Blue Yellow\nBlack Pink Gray Purple Red Purple Yellow\nBlack Black Black Blue Blue 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 Pink Pink Red Red Black Black Black Black\nBlack Gray Gray Orange Pink Black Black Black Black\nBlue Purple Green Red Pink Black Black Black Black\nBlue Red Pink Red Orange Black Black Black Black\nBlack Purple Blue Purple Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Blue Purple Black Black\nBlack Black Black Black Blue Blue Yellow Black Black\nBlack Black Black Black Pink Blue 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 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 Pink Blue Pink Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Purple Yellow Purple 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:\nPink Black Purple Orange Black Black Black Black Black Black\nBlack Orange Black Black Black Black Orange Black Black Pink\nPink Black Black Black Black Black Yellow Black Black Black\nRed Brown Black Gray Red Black Black Orange Orange Black\nBlack Black Blue Black Black Black Orange Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Yellow Black Black Pink Purple Orange Black\nBlack Orange Black Black Purple Black Black Black Blue Gray\nBlack Yellow Pink Black Orange Black Black Black Black Black\nBlack Red Black Black Black Black Purple Black Yellow Black\n\nOutput:\nPink Orange Purple Orange Red Pink Orange Orange Orange Pink\nPink Orange Purple Orange Red Pink Orange Orange Orange Pink\nPink Orange Purple Orange Red Pink Orange Orange Orange Pink\nPink Orange Purple Orange Red Pink Orange Orange Orange Pink\nPink Orange Purple Orange Red Pink Orange Orange Orange Pink\nPink Orange Purple Orange Red Pink Orange Orange Orange Pink\nPink Orange Purple Orange Red Pink Orange Orange Orange Pink\nPink Orange Purple Orange Red Pink Orange Orange Orange Pink\nPink Orange Purple Orange Red Pink Orange Orange Orange Pink\nPink Orange Purple Orange Red Pink Orange Orange Orange Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Brown Orange\nBlue Black Black Green Green Brown Gray Black Brown Black\nGreen Purple Blue Pink Pink Black Pink Black Black Red\nYellow Black Black Green Black Black Black Black Purple Black\nBlack Black Black Black Black Purple Black Purple Black Red\nBlack Blue Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Pink Black\nBlue Black Black Black Blue Black Black Black Black Black\nPink Black Purple Black Black Black Black Blue Yellow Black\nOrange Black Black Black Black Red Black Purple Black Black\n\nOutput:\nBlue Purple Blue Green Green Brown Gray Purple Brown Orange\nBlue Purple Blue Green Green Brown Gray Purple Brown Orange\nBlue Purple Blue Green Green Brown Gray Purple Brown Orange\nBlue Purple Blue Green Green Brown Gray Purple Brown Orange\nBlue Purple Blue Green Green Brown Gray Purple Brown Orange\nBlue Purple Blue Green Green Brown Gray Purple Brown Orange\nBlue Purple Blue Green Green Brown Gray Purple Brown Orange\nBlue Purple Blue Green Green Brown Gray Purple Brown Orange\nBlue Purple Blue Green Green Brown Gray Purple Brown Orange\nBlue Purple Blue Green Green Brown Gray Purple Brown Orange\n\n\nExample 3\nInput:\nBlack Black Green Black Gray Yellow Black Black Black Black\nBlack Black Yellow Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Blue\nBlack Pink Gray Black Black Black Orange Brown Black Pink\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Pink Brown Black Black Purple Black Black Black Black\nBlack Black Yellow Brown Black Black Black Black Orange Black\nOrange Black Gray Yellow Black Black Black Black Black Yellow\n\nOutput:\nOrange Pink Green Green Gray Yellow Orange Brown Brown Red\nOrange Pink Green Green Gray Yellow Orange Brown Brown Red\nOrange Pink Green Green Gray Yellow Orange Brown Brown Red\nOrange Pink Green Green Gray Yellow Orange Brown Brown Red\nOrange Pink Green Green Gray Yellow Orange Brown Brown Red\nOrange Pink Green Green Gray Yellow Orange Brown Brown Red\nOrange Pink Green Green Gray Yellow Orange Brown Brown Red\nOrange Pink Green Green Gray Yellow Orange Brown Brown Red\nOrange Pink Green Green Gray Yellow Orange Brown Brown Red\nOrange Pink Green Green Gray Yellow Orange Brown Brown Red\n\n\nHere is the input grid for the test example:\nInput:\nGreen Gray Black Orange Black Black Black Black Orange Black\nGray Black Black Black Black Yellow Purple Black Black Gray\nBlack Black Red Yellow Black Black Black Black Purple Black\nPink Black Pink Gray Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Green Black Gray\nGreen Red Pink Black Black Black Black Black Black Gray\nBlack Black Purple Black Brown Black Black Green Blue Black\nBlack Black Blue Black Black Orange Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Gray Red Orange Red Yellow Purple Green Orange Gray\nGreen Gray Red Orange Red Yellow Purple Green Orange Gray\nGreen Gray Red Orange Red Yellow Purple Green Orange Gray\nGreen Gray Red Orange Red Yellow Purple Green Orange Gray\nGreen Gray Red Orange Red Yellow Purple Green Orange Gray\nGreen Gray Red Orange Red Yellow Purple Green Orange Gray\nGreen Gray Red Orange Red Yellow Purple Green Orange Gray\nGreen Gray Red Orange Red Yellow Purple Green Orange Gray\nGreen Gray Red Orange Red Yellow Purple Green Orange Gray\nGreen Gray Red Orange Red Yellow Purple Green Orange Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Pink Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green\nGray Gray Gray Gray Black Black Black Black Black Black Green Green Green Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\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 Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Brown Black Black Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Pink Black Black Pink Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink 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 Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGreen Green Green Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black Black Black Black\nGreen Green Green Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black Black Black Black\nGreen Green Green Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black Black Black Black\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green Pink Pink Pink Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green Pink Pink Pink Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green Green Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Pink Pink Pink Green Green Green Green Green Green Blue Blue Blue Green Green Green Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Pink Pink Pink Green Green Green Green Green Green Blue Blue Blue Green Green Green Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Pink Pink Pink Green Green Green Green Green Green Blue Blue Blue Green Green Green Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Green Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Green Green Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Pink Black Gray Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black\nBlack Red Black Black Black Black Black Black Orange 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\nBlack Brown Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Red Black Black Black Black Black Black Orange 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 Black\nBlack Gray Black Black Black Black Black Red Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Black Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Black Gray Gray Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Red Black\nBlack Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Black Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Black Gray Gray Black Black\nBlack Yellow Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Brown Black Black Black Green\nBlack Black Black Black Green Green Black\nBlack Black Black Green Green Black Black\nBlack Black Black Black Green Green Black\nBlack Black Blue 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 Black Black Black\nBlack Brown 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\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Brown Purple Blue Red Pink Purple Gray Pink Green Gray Purple Gray Red Green Red\nPink Green Pink Yellow Gray Pink Red Brown Brown Pink Green Purple Blue Green Gray Brown Red Blue\nYellow Blue Green Purple Pink Gray Purple Green Yellow Yellow Gray Brown Red Brown Yellow Blue Gray Green\nRed Pink Purple Gray Pink Brown Purple Green Gray Brown Yellow Green Brown Yellow Brown Brown Pink Green\nGreen Red Blue Brown Red Purple Purple Green Blue Orange Yellow Gray Blue Yellow Pink Blue Purple Red\nPurple Brown Green Pink Purple Yellow Green Purple Gray Purple Gray Pink Pink Yellow Blue Yellow Purple Blue\nPink Gray Gray Purple Pink Gray Purple Green Brown Gray Red Pink Brown Red Purple Brown Brown Pink\nPurple Green Green Blue Red Brown Blue Brown Blue Green Green Brown Purple Purple Green Red Purple Red\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue 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\n\n\nExample 2\nInput:\nYellow Red Pink Gray Orange Purple Purple\nGray Pink Blue Brown Yellow Orange Gray\nBlue Purple Pink Brown Yellow Gray Blue\nGray Red Blue Blue Yellow Pink Yellow\nYellow Blue Yellow Orange Red Gray Red\nRed Orange Purple Green Gray Blue Orange\nYellow Red Pink Purple Purple Purple Gray\nOrange Brown Blue Blue Yellow Brown Blue\nBlue Blue Gray Purple Yellow Brown Brown\nPink Brown Brown Blue Gray Orange Red\n\nOutput:\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlue Blue Orange Brown Brown Gray Yellow\nGray Purple Brown Orange Orange Orange Brown\nGray Brown Gray Blue Gray Purple Orange\nBrown Orange Purple Yellow Green Brown Blue\nYellow Brown Yellow Purple Green Pink Pink\nOrange Purple Yellow Red Purple Green Orange\nGreen Pink Pink Gray Orange Blue Yellow\nOrange Orange Yellow Pink Purple Pink Pink\nGreen Green Brown Green Pink Gray Green\nPink Green Blue Gray Brown Blue Purple\nYellow Blue Blue Orange Orange Orange Blue\n\nOutput:\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nOrange Gray Orange Orange Purple Pink Purple Green Purple\nPink Yellow Red Brown Orange Orange Red Orange Brown\nGreen Red Gray Brown Green Orange Purple Pink Brown\nPink Red Red Red Gray Green Gray Yellow Gray\nYellow Orange Brown Yellow Blue Green Brown Pink Red\nOrange Pink Orange Gray Brown Red Purple Yellow Yellow\nBrown Brown Purple Brown Pink Green Yellow Red Green\nRed Orange Orange Red Red Brown Pink Brown Gray\nPink Pink Orange Purple Green Brown Purple Yellow Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\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 Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black\nBlack Pink 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 Pink Black Black Black Black Pink Black\nPink Pink Pink Black Black Pink Pink Pink\nBlack Pink Black Black Black Black Pink Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nPink Pink Black Black Black Black\nBlack Pink Pink Black Black Black\nBlack Pink Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nPink Pink Black Black Pink Pink\nBlack Pink Pink Pink Pink Black\nBlack Pink Black Black Pink 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\nGray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlue Blue Blue Black Black Black\nBlack 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\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue\nBlack Blue Black Black Blue Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Red\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Blue Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Orange Black Orange Green Red Green Black Black Green\nBlack Black Blue Black Green Green Black Black Green Red\nBlack Orange Black Orange Red Green Black Orange Black Green\nBlack Black Black Black Green Black Green Black Blue Black\nBlack Black Black Orange Black Orange Red Orange Black Orange\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Orange Black Orange 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 Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nRed Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red 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 Orange Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Orange Black\nGreen Black Black Black Black Black Black Black Black Blue\nOrange Green Orange Black Black Black Black Black Orange Black\nGreen Blue Black Black Black Black Black Black Black Black\nOrange Green Orange Black Black Black Black Black Black Black\nGreen Black Green Black Black Black Black Black Black Black\nBlack Green Red Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlue Black Red Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\n\nOutput:\nBlue Green Red Green Black Black Black Black Black Black\nBlack Orange Green Red Green Black Orange Black Black Black\nBlack Black Black Green Black Orange Black Black Black Black\nBlack Black Black Black Orange Black Orange Black Orange Black\nBlack Black Black Orange Black Orange Black Black Black Blue\nBlack Green Black Black Black Black Black Black Orange Black\nGreen Red Green Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Black Blue 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 Blue Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Red Red\nBlack Black Red Black Black Blue Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Orange Black Orange\nBlack Black Black Black Black Black Black Orange Blue Orange\nBlack Black Black Black Orange Black Orange Orange Blue Orange\nBlack Black Black Black Orange Blue Orange Orange Green Orange\nBlack Black Green Black Orange Blue Orange Green Green Green\nBlack Green Red Green Orange Blue Orange Green Green Green\nBlack Black Green Black Orange Black Orange Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Green Red Green Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Green Green Green Blue Blue Blue Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Green Green Green Blue Blue Blue Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Green Green Green Blue Blue Blue Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black\nBlack Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Green Green Green Black Black Black Green Green Green\nBlack Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Green Green Green Black Black Black Green Green Green\nBlack Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Green Green Green Black Black Black Green Green Green\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlue Blue Blue Black Black Black Green Green Green Green Green Green Black Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Green Green Green Green Green Green Black Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Green Green Green Green Green Green Black Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Black Black Black\nGreen Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black\n\nOutput:\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\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\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Green Green Green Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Green Green Green Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Green Green Green Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nGreen Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nGreen Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nGreen Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Green Green Green Yellow Yellow Yellow Green Green Green Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Green Green Green Yellow Yellow Yellow Green Green Green Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Green Green Green Yellow Yellow Yellow Green Green Green Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue\nGreen Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nGreen Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nGreen Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Green Green Green Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Green Green Green Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Green Green Green Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green 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 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\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:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Red Black Red Black Black Black Black\nBlack Black Black Red Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Red Black Red Red Black Red Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Red Black Black Red Black Black Black Red Black\nBlack Black Black Black Black Black Black Red Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Black Blue Black Black Black Black\nBlack Black Black Blue Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Blue Black Blue Blue Black Blue Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Gray Black Black Gray Black Black Black Gray Black\nBlack Black Black Black Black Black Black Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nYellow Black Black Black Black Black Black Black Black Gray\nYellow Black Black Black Black Black Red Black Red Gray\nYellow Red Red Black Black Black Black Black Black Gray\nYellow Black Black Black Black Black Red Black Black Gray\nYellow Black Black Black Black Black Black Black Red Gray\nYellow Black Black Black Black Black Red Black Black Gray\nYellow Black Black Black Red Black Black Black Black Gray\nYellow Black Red Black Black Red Black Black Black Gray\nYellow Black Black Black Black Black Black Black Black Gray\nYellow Black Black Black Black Black Black Black Black Gray\n\nOutput:\nYellow Black Black Black Black Black Black Black Black Gray\nYellow Black Black Black Black Black Gray Black Gray Gray\nYellow Yellow Yellow Black Black Black Black Black Black Gray\nYellow Black Black Black Black Black Gray Black Black Gray\nYellow Black Black Black Black Black Black Black Gray Gray\nYellow Black Black Black Black Black Gray Black Black Gray\nYellow Black Black Black Yellow Black Black Black Black Gray\nYellow Black Yellow Black Black Gray Black Black Black Gray\nYellow Black Black Black Black Black Black Black Black Gray\nYellow Black Black Black Black Black Black Black Black Gray\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black 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 Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Red Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nGreen Black Black Black Black Black Black Black Black Blue\nGreen Red Black Black Red Black Black Black Black Blue\nGreen Black Black Black Black Black Red Black Black Blue\nGreen Black Black Black Black Black Black Black Black Blue\nGreen Black Black Black Red Black Black Black Black Blue\nGreen Black Black Black Black Black Black Black Black Blue\nGreen Black Black Black Red Black Black Black Black Blue\nGreen Black Red Black Black Black Black Black Black Blue\nGreen Red Black Red Black Black Black Black Black Blue\nGreen Black Black Black Black Black Black Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Black Black Black Black Black Black Black Black Blue\nGreen Green Black Black Green Black Black Black Black Blue\nGreen Black Black Black Black Black Blue Black Black Blue\nGreen Black Black Black Black Black Black Black Black Blue\nGreen Black Black Black Green Black Black Black Black Blue\nGreen Black Black Black Black Black Black Black Black Blue\nGreen Black Black Black Green Black Black Black Black Blue\nGreen Black Green Black Black Black Black Black Black Blue\nGreen Green Black Green Black Black Black Black Black Blue\nGreen Black Black Black Black Black Black Black Black Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Gray Gray Green Black\nBlack Black Black Orange Red Gray Blue Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Yellow Black\nGreen Gray Black Black Black Gray Orange Black\nBrown Red Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray\nGray Black Black Black\nGray Black Black Black\nGray Black Black Black\n\n\nExample 2\nInput:\nBlack Yellow Gray Black Black Green Gray Black\nBlack Blue Gray Black Black Yellow Orange Black\nBlack Black Black Black Black Black Black Black\nBlack Gray Red Black Black Black Black Black\nBlack Gray Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Orange\nBlack Black Black Black Black Black Gray Pink\nBlack Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray\nGray Black Black Black\nGray Black Black Black\nGray Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Gray Gray Brown Black Black\nBlack Black Brown Red Yellow Purple Blue Gray\nBlack Black Black Blue Brown Black Pink Brown\nBlack Black Black Red Gray Black Black Black\n\nOutput:\nGray Gray Gray Gray\nGray Black Black Black\nGray Black Black Black\nGray Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Purple Yellow Black Black Black Black Black\nBlack Gray Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Red Gray Black Yellow Purple Black Black\nBlack Gray Orange Black Green Gray Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Yellow Black\nBlack Black Black Black Black Blue 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```\nGray Gray Gray Gray\nGray Black Black Black\nGray Black Black Black\nGray Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Black Pink Black Pink Pink Yellow Yellow Yellow Pink Black Pink Pink Pink Black Black Pink Pink Black\nBlack Black Pink Black Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Black\nPink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Pink Black Pink Pink Pink\nBlack Pink Black Pink Pink Pink Pink Black Pink Black Pink Black Black Black Pink Pink Pink Pink Black Black\nPink Pink Black Pink Black Pink Pink Black Pink Black Pink Pink Black Black Pink Pink Black Pink Pink Pink\nBlack Pink Pink Black Pink Pink Pink Black Pink Pink Pink Black Pink Yellow Yellow Yellow Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink Black Pink Pink Black Pink\nPink Black Black Black Pink Black Pink Black Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Black Pink Black Black Pink Pink Pink Pink Pink Black Black Pink Pink Pink\nPink Pink Pink Pink Black Pink Pink Black Pink Pink Pink Black Pink Pink Pink Pink Pink Black Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black Pink Black Pink Pink Pink Pink Pink Black Pink Black\nBlack Pink Pink Pink Pink Black Pink Pink Black Pink Pink Black Pink Black Pink Pink Pink Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Black Black Pink Black Pink Black Pink Pink Pink Yellow Yellow Yellow Pink\nPink Black Pink Pink Pink Black Pink Pink Black Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Pink Black Pink Pink Pink\nBlack Pink Pink Black Pink Pink Pink Black Pink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Pink\nBlack Pink Black Black Pink Pink Black Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink\nPink Pink Black Pink Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Black Black Pink Pink\nBlack Pink Pink Pink Black Pink Pink Black Black Pink Black Black Pink Pink Black Pink Pink Pink Pink Black\nPink Black Pink Pink Pink Black Pink Black Black Pink Pink Black Pink Black Pink Black Pink Pink Pink Pink\n\nOutput:\nPink Pink Black Pink Black Pink Pink Red Red Red Pink Black Pink Pink Pink Black Black Pink Pink Black\nBlack Black Pink Black Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Black\nPink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Pink Black Pink Pink Pink\nBlack Pink Black Pink Pink Pink Pink Black Pink Black Pink Black Black Black Pink Pink Pink Pink Black Black\nPink Pink Black Pink Black Pink Pink Black Pink Black Pink Pink Black Black Pink Pink Black Pink Pink Pink\nBlack Pink Pink Black Pink Pink Pink Black Pink Pink Pink Black Pink Red Red Red Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink Black Pink Pink Black Pink\nPink Black Black Black Pink Black Pink Black Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Black Pink Black Black Pink Pink Pink Pink Pink Black Black Pink Pink Pink\nPink Pink Pink Pink Black Pink Pink Black Pink Pink Pink Black Pink Pink Pink Pink Pink Black Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black Pink Black Pink Pink Pink Pink Pink Black Pink Black\nBlack Pink Pink Pink Pink Black Pink Pink Black Pink Pink Black Pink Black Pink Pink Pink Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Black Black Pink Black Pink Black Pink Pink Pink Red Red Red Pink\nPink Black Pink Pink Pink Black Pink Pink Black Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Pink Black Pink Pink Pink\nBlack Pink Pink Black Pink Pink Pink Black Pink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Pink\nBlack Pink Black Black Pink Pink Black Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink\nPink Pink Black Pink Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Black Black Pink Pink\nBlack Pink Pink Pink Black Pink Pink Black Black Pink Black Black Pink Pink Black Pink Pink Pink Pink Black\nPink Black Pink Pink Pink Black Pink Black Black Pink Pink Black Pink Black Pink Black Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlue Black Black Black Black Blue Blue Black Blue Blue Black Black Blue Blue Blue Black Blue Black Blue Black\nBlack Black Blue Blue Black Blue Blue Blue Black Blue Black Black Blue Blue Blue Black Black Blue Black Blue\nBlue Black Black Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black\nBlue Blue Blue Black Black Blue Black Black Black Blue Blue Blue Black Blue Blue Blue Black Black Blue Blue\nBlack Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Black\nBlue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black Blue Blue\nBlue Blue Blue Black Blue Blue Black Black Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue\nBlack Blue Blue Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Blue Black Blue Black Black\nBlue Blue Black Blue Blue Blue Black Black Blue Blue Black Blue Black Black Blue Blue Black Blue Blue Black\nBlue Blue Black Black Blue Black Blue Black Blue Blue Blue Blue Blue Black Blue Black Black Blue Blue Black\nBlue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Black Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Black Blue Black Black Blue Black Blue Blue Blue Blue Black Blue Black Blue Black Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Black Black Blue Blue Black Blue Blue Blue Black Blue Black Blue Blue Black Black\nBlack Black Blue Black Blue Black Blue Blue Blue Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Blue Black\nBlue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Blue Black Yellow Yellow Yellow Black Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Yellow Yellow Yellow Black Blue\nBlue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue\n\nOutput:\nBlue Black Black Black Black Blue Blue Black Blue Blue Black Black Blue Blue Blue Black Blue Black Blue Black\nBlack Black Blue Blue Black Blue Blue Blue Black Blue Black Black Blue Blue Blue Black Black Blue Black Blue\nBlue Black Black Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black\nBlue Blue Blue Black Black Blue Black Black Black Blue Blue Blue Black Blue Blue Blue Black Black Blue Blue\nBlack Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Black\nBlue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black Blue Blue\nBlue Blue Blue Black Blue Blue Black Black Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue\nBlack Blue Blue Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Blue Black Blue Black Black\nBlue Blue Black Blue Blue Blue Black Black Blue Blue Black Blue Black Black Blue Blue Black Blue Blue Black\nBlue Blue Black Black Blue Black Blue Black Blue Blue Blue Blue Blue Black Blue Black Black Blue Blue Black\nBlue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Black Red Red Red Blue Blue Blue\nBlue Blue Black Blue Black Black Blue Black Blue Blue Blue Blue Black Blue Black Blue Black Red Red Red\nBlue Blue Blue Blue Blue Black Black Blue Blue Black Blue Blue Blue Black Blue Black Blue Blue Black Black\nBlack Black Blue Black Blue Black Blue Blue Blue Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Blue Black\nBlue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Blue Black Red Red Red Black Blue Blue\nRed Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Red Red Red Black Blue\nBlue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue\nBlue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Yellow Black Blue Blue Black Blue Blue Black Blue Black Black Black Blue Black\nBlack Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black\nBlue Black Blue Black Blue Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Blue Black\nBlue Blue Blue Blue Blue Blue Black Blue Blue Black Black Blue Black Blue Black Blue Blue Blue Black Blue\nBlue Blue Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Black\nBlue Blue Black Black Black Black Blue Black Blue Blue Black Black Blue Black Blue Blue Blue Black Black Blue\nBlue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Black\nBlue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Blue Blue Blue Black Blue Blue\nBlue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue\nBlue Blue Blue Black Blue Blue Blue Blue Black Blue Black Blue Black Blue Blue Blue Blue Blue Blue Black\nBlue Black Blue Blue Black Black Blue Black Blue Blue Blue Blue Black Blue Black Blue Blue Black Blue Black\nBlue Blue Blue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Black\nBlack Black Blue Blue Blue Blue Black Blue Black Blue Black Blue Blue Blue Black Blue Blue Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue\nBlue Blue Red Red Red Red Red Red Black Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Black Blue Blue Black Blue Blue Black Blue Black Black Black Blue Black\nBlack Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black\nBlue Black Blue Black Blue Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Blue Black\nBlue Blue Blue Blue Blue Blue Black Blue Blue Black Black Blue Black Blue Black Blue Blue Blue Black Blue\nBlue Blue Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Black\nBlue Blue Black Black Black Black Blue Black Blue Blue Black Black Blue Black Blue Blue Blue Black Black Blue\nBlue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Black\nBlue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Blue Blue Blue Black Blue Blue\nBlue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue\nBlue Blue Blue Black Blue Blue Blue Blue Black Blue Black Blue Black Blue Blue Blue Blue Blue Blue Black\nBlue Black Blue Blue Black Black Blue Black Blue Blue Blue Blue Black Blue Black Blue Blue Black Blue Black\nBlue Blue Blue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Black\nBlack Black Blue Blue Blue Blue Black Blue Black Blue Black Blue Blue Blue Black Blue Blue Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black\nGray Black Black Gray Black Gray Gray Gray Gray Black Gray Black Gray Gray Black Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Black Gray Black Black Gray Gray Gray Gray Gray Gray Black Gray Black Black\nGray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Black Black Gray Gray Black Black Black\nGray Gray Black Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Gray Gray Gray Black\nGray Gray Black Gray Gray Black Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray\nGray Black Black Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Black\nBlack Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Black Black Gray Black Gray Gray Gray Gray Gray Black Black Gray Gray Gray Black Gray\nGray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Gray Gray Black Gray Gray Black Black Gray Gray Gray Gray Gray Black Gray Gray\nGray Black Gray Black Gray Black Gray Gray Black Gray Gray Gray Gray Gray Gray Black Gray Black Gray Black\nGray Gray Gray Black Gray Gray Black Black Black Black Black Black Black Black Gray Black Gray Black Gray Gray\nBlack Gray Black Black Gray Gray Gray Gray Gray Black Gray Black Gray Gray Black Black Black Gray Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Black Black Gray Gray Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray\nBlack Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Black Black Black Gray Black Black Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Gray Gray Gray Black Gray Gray Gray Gray Black Gray Gray Gray Gray Black Black\nBlack Black Gray Black Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black\nGray Black Black Gray Black Gray Gray Gray Gray Black Gray Black Gray Gray Black Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Black Gray Black Black Gray Gray Gray Gray Gray Gray Black Gray Black Black\nGray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Black Black Gray Gray Black Black Black\nGray Gray Black Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Gray Gray Gray Black\nGray Gray Black Gray Gray Black Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray\nGray Black Black Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Black\nBlack Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Black Black Gray Black Gray Gray Gray Gray Gray Black Black Gray Gray Gray Black Gray\nGray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Gray Gray Black Gray Gray Black Black Gray Gray Gray Gray Gray Black Gray Gray\nGray Black Gray Black Gray Black Gray Gray Black Gray Gray Gray Gray Gray Gray Black Gray Black Gray Black\nGray Gray Gray Black Gray Gray Black Black Black Black Black Black Black Black Gray Black Gray Black Gray Gray\nBlack Gray Black Black Gray Gray Gray Gray Gray Black Gray Black Gray Gray Black Black Black Gray Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Gray Black Black Gray Gray Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray\nBlack Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Black Black Black Gray Black Black Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Gray Gray Gray Black Gray Gray Gray Gray Black Gray Gray Gray Gray Black Black\nBlack Black Gray Black Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Yellow Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Pink Pink\nBlack Black Black Black Yellow Yellow Yellow Black Pink Blue\nBlack Black Black Black Yellow Yellow Yellow Black Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Green Green Red Orange Black Black Black Black\nBlack Green Green Green Orange Orange Black Black Black 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 Orange Orange Orange Black Black Black Black Black\nBlack Black Orange Red Orange Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red 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\nYellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Pink Pink Pink\nYellow Yellow Yellow Black Black Black Black Pink Blue Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Red Orange 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 Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Yellow 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 Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Red Orange Black Green Green\nBlack Black Black Black Orange Orange Orange Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\nYellow Yellow Black Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Black Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Black Yellow Yellow 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Blue Purple Purple Black Black Blue Black\nBlack Black Black Black Pink Green Black Purple Black\nBlack Black Black Green Red Red Pink Purple Purple\nBlack Purple Purple Pink Red Red Green Black Black\nBlack Black Purple Black Green Pink Black Black Black\nBlack Black Blue Black Black Purple Purple Blue Black\nBlack Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Yellow Gray Gray Black Black Yellow Black\nBlack Black Black Black Brown Blue Black Gray Black\nBlack Black Black Blue Green Green Brown Gray Gray\nBlack Gray Gray Brown Green Green Blue Black Black\nBlack Black Gray Black Blue Brown Black Black Black\nBlack Black Yellow Black Black Gray Gray Yellow Black\nBlack Black Black Black Black Gray 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 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 Gray Yellow Orange Black Black\nBlack Black Black Black Black Black Yellow Orange Black Black\nBlack Black Black Gray Black Black Brown Black Black Black\nBlack Black Black Yellow Yellow Brown Pink Pink Black Black\nBlack Black Black Orange Orange Black Pink Pink 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 Brown Brown\nBlack Black Black Black Black Red Red Purple Brown Brown\nBlack Black Black Black Black Pink Black Black Purple Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Pink Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Gray Pink Pink Yellow Brown Brown Black\nBlack Purple Green Gray Gray Black Black Black Brown Black\nBlack Orange Brown Gray Brown Black Black Black Red Black\nBlack Orange Brown Gray Brown Yellow Black Gray Gray Black\nBlack Orange Brown Gray Brown Yellow Black Gray Gray Black\nBlack Orange Brown Gray Brown Black Black Black Red Black\nBlack Purple Green Gray Gray Black Black Black Brown Black\nBlack Purple Purple Gray Pink Pink Yellow Brown Brown Black\n\nOutput:\nBlack Black Purple Purple Green Pink Pink Green Purple Purple\nBlack Black Purple Black Black Pink Pink Black Black Purple\nBlack Black Red Black Black Black Black Black Black Red\nBlack Black Brown Black Black Red Red Black Black Brown\nBlack Black Brown Pink Purple Purple Purple Purple Pink Brown\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Gray Blue Purple Purple Purple Purple Blue Gray\nBlack Black Gray Gray Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 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 Brown Black Black Brown Black Black\nBlack Black Black Black Blue Brown Gray Gray Brown Blue Black\nBlack Black Black Black Pink Pink Gray Gray Pink Pink Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black\nBlack Black Black Black Pink Black Black Black Black Pink Black\nBlack Black Black Black Green Black Black Black Black Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Yellow Brown Red Brown Blue\nBlack Black Black Black Black Purple Purple Brown Red Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Purple Purple Brown Red Black Black\nBlack Black Black Black Black Black Yellow Brown Red Brown 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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Gray Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Black Black\nYellow Gray Gray Yellow Yellow Yellow Yellow Black Black\nYellow Gray Gray Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Green Gray 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:\nGreen Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black\nGreen Green Gray Gray Black Black Black Black Black Black\nGreen Green Gray Gray Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Green Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nGray Gray Green Green Black Black\nGray Gray Green Green Black Black\nBlack Black Green Green Black Black\nBlack Black Green Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray\nBlack Black Black Black Gray Gray\nBlack Black Black Black Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Red Green Green Green Green Green Green Green Green Black Black Black Gray Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black Black Gray Gray Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Gray Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black Black Purple Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Green Green Green Green Green Green Green\nRed Green Green Purple Green Green Green Green\nGreen Green Purple Purple Gray Green Green Green\nGreen Green Green Gray Gray Green Green Green\nGreen Green Green Green Gray Green Green Green\nGreen Green Green Orange Orange Green Green Green\nGreen Green Green Green Orange Green Green Green\nGreen Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Gray 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 Gray Black Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Gray Gray Black Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Gray Black Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red 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\n\nOutput:\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Gray Green Green Green\nGreen Green Gray Gray Green Green Green\nGreen Green Green Gray Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Orange Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Orange Orange Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green\nOrange Green Pink Green Green\nOrange Pink Pink Green Green\nOrange Green Pink Red Green\nGreen Green Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Green Green Green Green Green Green Black Black Black Black Pink Black\nBlack Yellow Yellow Black Black Black Green Green Green Green Green Green Black Black Black Pink Pink Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black 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 Red Red Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green\nGreen Green Green Pink Green Green\nGreen Green Pink Pink Green Green\nGreen Green Green Pink Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Purple Purple Black Purple Black Orange Orange Black Orange Brown Orange Blue Blue Purple Pink Black\nBrown Orange Purple Brown Red Gray Blue Green Black Gray Purple Blue Black Gray Green Black Black\nGray Purple Red Yellow Blue Black Orange Brown Pink Yellow Orange Red Blue Purple Blue Black Blue\nPink Green Red Brown Black Purple Yellow Yellow Black Blue Blue Red Yellow Purple Orange Blue Red\nBrown Red Blue Red Gray Blue Orange Blue Orange Black Orange Red Blue Black Yellow Pink Black\nRed Red Blue Brown Pink Black Blue Brown Blue Purple Red Blue Gray Yellow Blue Black Black\nGray Green Red Brown Blue Gray Brown Yellow Black Red Green Blue Pink Orange Yellow Yellow Brown\nGray Purple Black Black Blue Orange Blue Red Black Black Orange Brown Red Red Blue Purple Red\nGreen Purple Orange Black Gray Blue Black Yellow Black Yellow Red Red Red Yellow Purple Yellow Black\nRed Pink Orange Green Green Blue Purple Black Black Orange Orange Blue Blue Blue Orange Yellow Yellow\nBlack Black Black Pink Purple Black Red Brown Purple Black Red Yellow Orange Gray Pink Red Green\nPurple Pink Blue Black Black Blue Pink Gray Black Brown Blue Gray Blue Orange Green Blue Yellow\nGreen Red Green Purple Blue Orange Black Red Yellow Red Pink Black Purple Yellow Blue Yellow Purple\n\nOutput:\nRed Red Red Black Red Black Red Red Black Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Black Red Red Red Black Red Red Black Black\nRed Red Red Red Red Black Red Red Red Red Red Red Red Red Red Black Red\nRed Red Red Red Black Red Red Red Black Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Black Red Red Red Black Red Red Black\nRed Red Red Red Red Black Red Red Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Black Red Red Red Red Red Red Red Red\nRed Red Black Black Red Red Red Red Black Black Red Red Red Red Red Red Red\nRed Red Red Black Red Red Black Red Black Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Black Red Red Red Black Red Red Red Red Red Red Red\nRed Red Red Black Black Red Red Red Black Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Black Red Red Red Red Black Red Red Red Red Red\n\n\nExample 2\nInput:\nPurple Blue Blue Black Blue Orange Yellow Black Blue Purple Black Brown Blue Red Red\nPink Black Green Red Gray Black Blue Purple Orange Gray Black Orange Pink Black Gray\nBlue Green Red Green Purple Purple Green Black Purple Green Black Pink Brown Blue Blue\nBlack Blue Orange Orange Yellow Gray Blue Black Brown Black Black Black Pink Orange Blue\nBlack Gray Red Black Red Pink Yellow Yellow Black Black Yellow Black Purple Red Yellow\nBlack Black Black Orange Brown Orange Green Yellow Brown Black Yellow Black Pink Orange Brown\nBrown Brown Orange Red Brown Red Green Blue Black Brown Black Black Blue Blue Black\nBlack Orange Orange Black Purple Black Pink Red Black Green Orange Red Orange Blue Red\nYellow Green Black Pink Red Purple Gray Black Orange Blue Green Brown Brown Blue Blue\nYellow Black Blue Red Pink Gray Blue Blue Green Purple Black Orange Pink Blue Blue\nBlue Green Black Black Yellow Red Purple Yellow Blue Black Black Black Gray Gray Purple\nPink Brown Pink Red Brown Black Gray Red Pink Purple Black Purple Gray Pink Green\n\nOutput:\nRed Red Red Black Red Red Red Black Red Red Black Red Red Red Red\nRed Black Red Red Red Black Red Red Red Red Black Red Red Black Red\nRed Red Red Red Red Red Red Black Red Red Black Red Red Red Red\nBlack Red Red Red Red Red Red Black Red Black Black Black Red Red Red\nBlack Red Red Black Red Red Red Red Black Black Green Black Red Red Red\nBlack Black Black Red Red Red Red Red Red Black Green Black Red Red Red\nRed Red Red Red Red Red Red Red Black Red Black Black Red Red Black\nBlack Red Red Black Red Black Red Red Black Red Red Red Red Red Red\nRed Red Black Red Red Red Red Black Red Red Red Red Red Red Red\nRed Black Red Red Red Red Red Red Red Red Black Red Red Red Red\nRed Red Black Black Red Red Red Red Red Black Black Black Red Red Red\nRed Red Red Red Red Black Red Red Red Red Black Red Red Red Red\n\n\nExample 3\nInput:\nGreen Orange Blue Blue Yellow Black Pink Orange Gray Blue Purple Black Blue Orange Blue Red\nBlack Black Blue Blue Yellow Blue Black Blue Pink Brown Blue Green Purple Yellow Yellow Yellow\nOrange Orange Yellow Red Green Green Black Blue Pink Green Blue Blue Black Brown Orange Black\nPink Pink Pink Red Orange Pink Black Black Gray Blue Black Gray Brown Black Pink Green\nRed Purple Black Purple Blue Blue Brown Brown Blue Yellow Red Yellow Red Orange Gray Purple\nGreen Pink Gray Gray Gray Black Brown Gray Purple Blue Pink Pink Black Blue Green Blue\nBlue Black Blue Pink Blue Yellow Black Blue Orange Brown Black Blue Purple Orange Black Red\nPink Brown Blue Black Blue Black Blue Pink Orange Gray Blue Red Orange Pink Brown Blue\nBlack Brown Orange Red Black Black Red Green Yellow Red Orange Gray Yellow Yellow Gray Purple\nGreen Blue Gray Black Green Green Pink Green Blue Green Black Blue Red Black Gray Brown\nOrange Brown Green Gray Black Red Black Yellow Brown Gray Black Orange Pink Purple Red Gray\nBlack Purple Green Black Purple Black Yellow Blue Black Blue Black Black Black Black Green Black\n\nOutput:\nRed Red Red Red Red Black Red Red Red Red Red Black Red Red Red Red\nBlack Black Red Red Red Red Black Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Black Red Red Red Red Red Black Red Red Black\nRed Red Red Red Red Red Black Black Red Red Black Red Red Black Red Red\nRed Red Black Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Black Red Red Red Red Red Red Black Red Red Red\nRed Black Red Red Red Red Black Red Red Red Black Red Red Red Black Red\nRed Red Red Black Red Black Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Black Black Red Red Red Red Red Red Red Red Red Red\nRed Red Red Black Red Red Red Red Red Red Black Red Red Black Red Red\nRed Red Red Red Black Red Black Red Red Red Black Red Red Red Red Red\nBlack Red Red Black Green Black Red Red Black Red Black Black Black Black Red Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Purple Purple Pink Gray Black Blue Blue Orange Pink Black Brown Pink Black\nPurple Orange Black Black Black Black Purple Blue Pink Brown Purple Green Blue Green\nBlack Purple Orange Orange Red Green Gray Gray Gray Brown Yellow Black Green Yellow\nBlack Orange Black Green Black Black Blue Gray Green Black Gray Brown Gray Black\nPink Orange Pink Red Blue Blue Black Black Red Purple Yellow Black Blue Black\nBlack Brown Green Green Purple Red Black Black Black Black Gray Pink Gray Blue\nBlue Green Brown Purple Blue Gray Brown Yellow Black Red Orange Pink Blue Blue\nBrown Brown Yellow Yellow Orange Yellow Black Black Red Green Blue Yellow Black Black\nBlack Yellow Orange Yellow Red Yellow Yellow Yellow Black Gray Black Purple Gray Gray\nPink Pink Brown Black Yellow Black Red Black Gray Pink Green Purple Black Gray\nBrown Green Brown Blue Blue Red Red Gray Brown Brown Black Orange Blue Pink\nBlack Brown Pink Brown Black Black Green Red Red Gray Black Orange Black Black\nGray Red Green Black Green Blue Gray Green Blue Black Red Pink Black Brown\nBlack Gray Blue Blue Gray Blue Gray Black Blue Red Purple Purple 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```\nRed Red Red Red Red Black Red Red Red Red Black Red Red Black\nRed Red Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Black Red Red\nBlack Red Black Red Black Black Red Red Red Black Red Red Red Black\nRed Red Red Red Red Red Black Black Red Red Red Black Red Black\nBlack Red Red Red Red Red Black Black Black Black Red Red Red Red\nRed Red Red Red Red Red Red Red Black Red Red Red Red Red\nRed Red Red Red Red Red Black Black Red Red Red Red Black Black\nBlack Red Red Red Red Red Red Red Black Red Black Red Red Red\nRed Red Red Black Red Black Red Black Red Red Red Red Black Red\nRed Red Red Red Red Red Red Red Red Red Black Red Red Red\nBlack Red Red Red Black Black Red Red Red Red Black Red Black Black\nRed Red Red Black Red Red Red Red Red Black Red Red Black Red\nBlack Red Red Red Red Red Red Black Red Red Red Red Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Brown Blue Pink Brown Orange Pink Orange\nPurple Purple Red Gray Pink Brown Blue Green\nGray Brown Gray Pink Purple Red Pink Orange\nBlue Black Blue Purple Black Red Brown Brown\nRed Orange Brown Blue Orange Pink Black Black\nOrange Green Black Black Gray Yellow Purple Black\nPurple Pink Blue Gray Brown Pink Orange Orange\nBlue Purple Blue Purple Blue Pink Gray Yellow\nBrown Blue Green Black Orange Purple Orange Brown\nRed Black Gray Green Yellow Brown Green Green\nOrange Orange Black Brown Purple Yellow Orange Gray\nGray Yellow Orange Pink Red Brown Green Green\nPink Purple Orange Purple Yellow Green Orange Red\nRed Red Orange Black Pink Red Pink Pink\nBrown Blue Orange Green Pink Orange Yellow Gray\nBlack Brown Pink Brown Yellow Pink Purple Pink\nPink Red Red Purple Pink Gray Yellow Orange\nBrown Purple Gray Brown Green Gray Pink Orange\n\nOutput:\nPurple Gray Purple Black Brown Orange Pink Orange\nRed Yellow Black Gray Pink Brown Blue Green\nPurple Gray Green Orange Purple Red Pink Orange\nBlack Black Green Blue Black Red Brown Brown\nBlue Blue Gray Purple Orange Pink Black Black\nBlue Orange Blue Pink Gray Yellow Purple Black\nPurple Purple Gray Black Brown Pink Orange Orange\nBlue Pink Gray Yellow Blue Pink Gray Yellow\nBlack Purple Orange Purple Orange Purple Orange Brown\nRed Red Black Blue Yellow Brown Green Green\nPink Purple Blue Orange Purple Yellow Orange Gray\nRed Red Black Green Red Brown Green Green\nGreen Purple Red Blue Yellow Green Orange Red\nGray Gray Green Gray Pink Red Pink Pink\nPink Blue Purple Gray Pink Orange Yellow Gray\nGray Orange Gray Blue Yellow Pink Purple Pink\nPurple Blue Pink Gray Pink Gray Yellow Orange\nPurple Gray Pink Red Green Gray Pink Orange\n\n\nExample 2\nInput:\nPurple Pink Pink Gray Pink Yellow Yellow Purple Brown Green\nPink Gray Blue Pink Gray Brown Orange Green Yellow Brown\nGray Yellow Orange Blue Orange Black Gray Blue Red Black\nPink Gray Orange Orange Black Green Pink Green Green Brown\nRed Red Gray Purple Pink Black Pink Gray Purple Orange\nOrange Purple Purple Yellow Purple Orange Black Brown Purple Brown\nPink Blue Yellow Black Gray Red Blue Black Green Pink\n\nOutput:\nRed Black Orange Blue Blue Yellow Yellow Purple Brown Green\nBlack Blue Red Purple Black Brown Orange Green Yellow Brown\nBlue Green Yellow Pink Blue Black Gray Blue Red Black\nBlack Red Red Gray Red Green Pink Green Green Brown\nPurple Orange Pink Gray Blue Black Pink Gray Purple Orange\nBlack Orange Black Blue Purple Orange Black Brown Purple Brown\nGray Red Blue Yellow Green Red Blue Black Green Pink\n\n\nExample 3\nInput:\nBlack Yellow Red Pink Black Orange Gray Purple Purple Green Pink\nBlack Green Brown Green Black Red Green Red Black Red Purple\nBlue Orange Pink Brown Orange Black Black Brown Yellow Red Yellow\nBlack Gray Purple Green Purple Brown Orange Gray Yellow Pink Brown\nBrown Orange Gray Green Blue Yellow Pink Red Purple Black Black\nOrange Red Pink Green Orange Black Brown Brown Gray Yellow Pink\nGray Orange Pink Black Red Brown Blue Green Green Purple Yellow\n\nOutput:\nGray Red Orange Orange Pink Orange Gray Purple Purple Green Pink\nOrange Green Blue Green Red Red Green Red Black Red Purple\nBlue Green Blue Black Blue Black Black Brown Yellow Red Yellow\nBlack Gray Blue Pink Purple Brown Orange Gray Yellow Pink Brown\nBlue Blue Orange Green Gray Yellow Pink Red Purple Black Black\nGray Blue Pink Black Black Black Brown Brown Gray Yellow Pink\nBlue Orange Red Red Yellow Brown Blue Green Green Purple Yellow\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Pink Green Brown Blue Black Orange Brown\nBlue Yellow Yellow Green Black Gray Black Green Purple\nPink Purple Orange Orange Blue Brown Brown Red Black\nGreen Orange Orange Pink Purple Red Red Gray Blue\nPink Yellow Red Orange Green Pink Black Pink Orange\nBlue Purple Brown Brown Gray Blue Black Yellow Brown\nGray Pink Pink Black Green Purple Orange Gray Gray\nGray Pink Purple Purple Gray Yellow Gray Yellow Gray\nBlack Purple Yellow Purple Gray Red Yellow Brown 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 Purple Blue Yellow Brown Blue Black Orange Brown\nOrange Red Blue Pink Black Gray Black Green Purple\nBlue Green Black Black Blue Brown Brown Red Black\nYellow Pink Green Green Purple Red Red Gray Blue\nPurple Gray Blue Gray Green Pink Black Pink Orange\nBlack Blue Blue Yellow Gray Blue Black Yellow Brown\nPink Pink Purple Orange Green Purple Orange Gray Gray\nPink Blue Pink Blue Gray Yellow Gray Yellow Gray\nPink Black Blue Green Gray Red Yellow Brown Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple 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 Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange 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 Orange Orange Orange 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 Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Orange Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple 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 Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow 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 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray 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 Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\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 Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black 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 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 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 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 Black Black 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 Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray 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 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 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 Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink 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 Gray Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Gray Gray Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated 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 Black Blue Black\nBlue Black Blue Blue Black Blue Blue Black\nBlack Blue Blue Blue Blue Black Blue Black\nBlack Black Black Black Black Blue Black Blue\nBlue Blue Blue Blue Blue Black Blue Black\nBlue Blue Blue Blue Blue Black Blue Blue\nBlue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Blue Black Blue Black\nBlue Black Blue Blue Black Blue Blue Black\nBlack Blue Blue Blue Blue Black Blue Black\nBlack Black Black Black Black Blue Black Blue\nBlue Blue Blue Blue Blue Black Red Red\nBlue Blue Blue Blue Blue Black Red Red\nBlue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Black Black\nBlue Blue Black Black Black Black Blue\nBlack Blue Black Black Black Black Blue\nBlue Black Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black\nBlue Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue\n\nOutput:\nBlack Black Black Black Blue Black Black\nRed Red Black Black Black Black Blue\nRed Red Black Black Black Black Blue\nBlue Black Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black\nBlue Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Black Blue Blue Black Blue Black Black\nBlue Blue Black Blue Black Black Blue Black Blue\nBlue Blue Black Black Blue Blue Blue Blue Black\nBlack Black Blue Black Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Blue Black\nBlack Black Black Black Blue Blue Black Black Blue\nBlack Black Black Black Black Blue Black Blue Black\nBlack Black Blue Black Black Black Blue Black Black\n\nOutput:\nBlue Blue Black Red Red Black Blue Black Black\nBlue Blue Black Red Red Black Blue Black Blue\nBlue Blue Black Black Blue Blue Blue Blue Black\nBlack Black Blue Black Blue Blue Blue Blue Blue\nRed Red Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Blue Black\nBlack Black Black Black Red Red Black Black Blue\nBlack Black Black Black Red Red Black Blue Black\nBlack Black Blue Black Black Black Blue Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Black Blue Blue Black Blue\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Black Black Black Blue\nBlue Blue Blue Blue Black Black Blue Blue\nBlue Blue Blue Black Blue Black Black Black\nBlack 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 Blue Black Blue Blue Black Blue\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Black Black Red Red\nBlue Blue Blue Blue Black Black Red Red\nBlue Blue Blue Black Blue Black Black Black\nBlack Blue Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Red Red Red Green Green Green Purple Purple Purple Red Red Red Purple Purple Purple Black Black Black\nBlack Black Black Red Red Red Green Green Green Purple Purple Purple Red Red Red Purple Purple Purple Black Black Black\nBlack Black Black Red Red Red Green Green Green Purple Purple Purple Red Red Red Purple Purple Purple Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Purple Purple Purple Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Black Black Black\nBlack Black Black Green Green Green Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Green Green Green Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Green Green Green Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Red Red Red Red Red Red Green Green Green Purple Purple Purple Green Green Green Black Black Black\nBlack Black Black Red Red Red Red Red Red Green Green Green Purple Purple Purple Green Green Green Black Black Black\nBlack Black Black Red Red Red Red Red Red Green Green Green Purple Purple Purple Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Blue Blue 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\nRed 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\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Red Red Red\nRed 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\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Red Red Red Red Red Red Purple Purple Purple Red Red Red Green Green Green Black Black Black\nBlack Black Black Green Green Green Red Red Red Red Red Red Purple Purple Purple Red Red Red Green Green Green Black Black Black\nBlack Black Black Green Green Green Red Red Red Red Red Red Purple Purple Purple Red Red Red Green Green Green Black Black Black\nBlack Black Black Red Red Red Red Red Red Green Green Green Yellow Yellow Yellow Purple Purple Purple Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Green Green Green Yellow Yellow Yellow Purple Purple Purple Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Green Green Green Yellow Yellow Yellow Purple Purple Purple Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Purple Purple Purple Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Red Red Red Red Red Red Purple Purple Purple Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Red Red Red Red Red Red Purple Purple Purple Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Yellow Yellow Yellow Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Red Red Red Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Purple Purple Purple Red Red Red Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Purple Purple Purple Red Red Red Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Green Green Green Yellow Yellow Yellow Red Red Red Green Green Green Red Red Red Green Green Green Black Black Black\nBlack Black Black Green Green Green Yellow Yellow Yellow Red Red Red Green Green Green Red Red Red Green Green Green Black Black Black\nBlack Black Black Green Green Green Yellow Yellow Yellow Red Red Red Green Green Green Red Red Red Green Green Green Black Black Black\nBlack Black Black Red Red Red Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Black Black Black\nBlack Black Black Red Red Red Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Black Black Black\nBlack Black Black Red Red Red Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Black Black Black\nBlack Black Black Red Red Red Yellow Yellow Yellow Purple Purple Purple Green Green Green Purple Purple Purple Green Green Green Black Black Black\nBlack Black Black Red Red Red Yellow Yellow Yellow Purple Purple Purple Green Green Green Purple Purple Purple Green Green Green Black Black Black\nBlack Black Black Red Red Red Yellow Yellow Yellow Purple Purple Purple Green Green Green Purple Purple Purple Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Red Red Red Black Black Black\nBlack Black Black Green Green Green Green Green Green Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Red Red Red Black Black Black\nBlack Black Black Green Green Green Green Green Green Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Red Red Red Red Red Red Purple Purple Purple Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Red Red Red Red Red Red Purple Purple Purple Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Red Red Red Red Red Red Purple Purple Purple Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Yellow Yellow Yellow Green Green Green Purple Purple Purple Black Black Black\nBlack Black Black Red Red Red Yellow Yellow Yellow Green Green Green Purple Purple Purple Black Black Black\nBlack Black Black Red Red Red Yellow Yellow Yellow Green Green Green Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Green Green Green Purple Purple Purple Red Red Red Black Black Black\nBlack Black Black Purple Purple Purple Green Green Green Purple Purple Purple Red Red Red Black Black Black\nBlack Black Black Purple Purple Purple Green Green Green Purple Purple Purple Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Yellow Yellow Yellow Purple Purple Purple Black Black Black\nBlack Black Black Red Red Red Red Red Red Yellow Yellow Yellow Purple Purple Purple Black Black Black\nBlack Black Black Red Red Red Red Red Red Yellow Yellow Yellow Purple Purple Purple Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Purple Purple Purple Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Purple Purple Purple Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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```\nRed Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Red Red Red Red Red Red Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Red Red Red Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Red Red Red Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Blue Black Black Blue Black Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Blue Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Black Black Blue Blue Black Black Black Blue Black Blue Black Blue Black Blue Blue Black Blue Blue\nBlack Blue Blue Blue Blue Blue Black Black Blue Black Blue Black Blue Black Black Blue Blue Blue Blue Black Blue Blue Blue\nBlack Blue Black Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black Black Blue Blue Blue Blue Black Blue Blue Black Black Blue\nBlack Black Blue Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Black Blue Black Blue Blue Blue\nBlue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue\nBlue Black Blue Black Blue Blue Black Blue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Blue Black Blue Black\nBlue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black\nBlue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue Blue Black Black Blue Black Black Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black Black Blue Blue\nBlue Black Blue Black Black Blue Black Blue Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue Black Black Blue\nBlack Blue Black Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Blue Blue Blue\nBlue Blue Blue Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Black Blue Blue Black\nBlue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue\nBlack Blue Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Blue Blue Blue Blue\nBlack Blue Blue Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Blue Black Blue Blue\nBlue Blue Blue Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue\nBlue Blue Black Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Blue Black Blue Black\nBlack Blue Blue Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Black Blue Blue\nBlue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Blue Blue Black Black\nBlue Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Black Black Blue Blue\nBlue Black Black Blue Black Blue Black Black Blue Blue Blue Blue Black Black Blue Black Blue Blue Blue Blue Black Black Blue\n\nOutput:\nBlack Blue Black Black Blue Black Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Blue Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Black Black Blue Blue Black Black Black Blue Black Blue Black Blue Black Blue Blue Black Blue Blue\nBlack Blue Blue Blue Blue Blue Black Black Blue Black Blue Black Blue Black Black Blue Blue Blue Blue Black Blue Blue Blue\nBlack Blue Black Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black Black Blue Blue Blue Blue Black Blue Blue Black Black Blue\nBlack Black Blue Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Black Blue Black Blue Blue Blue\nBlue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue\nBlue Black Blue Black Blue Blue Black Blue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Blue Black Blue Black\nBlue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black\nBlue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue Blue Black Black Blue Black Black Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black Black Blue Blue\nBlue Black Blue Black Black Blue Black Blue Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue Black Black Blue\nBlack Blue Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue Blue\nBlue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Blue Blue Black\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue\nBlack Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Blue Blue Blue Blue\nBlack Blue Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Blue Black Blue Blue\nBlue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue\nBlue Blue Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Blue Black Blue Black\nBlack Blue Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Blue Blue\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Blue Blue Black Black\nBlue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Blue Blue\nBlue Black Black Blue Black Blue Black Black Blue Blue Blue Blue Black Black Blue Black Blue Blue Blue Blue Black Black Blue\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Black Black Black Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue Black Blue Blue Blue Black Blue Blue\nBlue Blue Blue Black Blue Blue Blue Black Red Red Red Red Red Red Red Red Black Blue Blue Blue Black Blue\nBlue Black Black Blue Blue Blue Black Blue Red Red Red Red Red Red Red Red Black Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue Black Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Red Red Red Red Red Red Red Red Blue Blue Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Black Red Red Red Red Red Red Red Red Blue Blue Black Blue Blue Black\nBlue Black Black Blue Blue Blue Black Blue Red Red Red Red Red Red Red Red Black Blue Blue Blue Black Blue\nBlue Blue Blue Blue Blue Black Black Blue Red Red Red Red Red Red Red Red Blue Blue Black Blue Black Blue\nBlue Black Black Blue Blue Black Black Blue Red Red Red Red Red Red Red Red Blue Black Blue Blue Blue Blue\nBlack Blue Black Blue Black Black Black Black Red Red Red Red Red Red Red Red Blue Blue Blue Blue Black Black\nBlue Blue Black Black Blue Black Blue Blue Red Red Red Red Red Red Red Red Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Blue Blue Blue Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Black\nBlue Black Black Blue Blue Blue Blue Black Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Black Blue Black Red Red Red Red Red Red Red Red Blue Blue Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Blue Blue Black Blue Blue\nBlack Blue Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Blue Black Blue Blue Blue Black\nBlue Blue Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Black Blue Blue Black Blue Blue Black Blue\nBlue Blue Black Blue Blue Blue Blue Black Blue Black Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Black Blue Blue Blue Blue Blue Black Blue Black Blue Black Blue Blue Blue\nBlue Blue Blue Black Black Blue Black Blue Black Black Black Black Black Black Blue Blue Blue Black Blue Blue Black Black\nBlue Black Blue Black Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Blue Black Black Black Blue Blue\nBlue Blue Blue Blue Black Blue Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Black Blue\n\nOutput:\nBlue Blue Blue Blue Blue Black Black Black Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue Black Blue Blue Blue Black Blue Blue\nBlue Blue Blue Black Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Blue Blue Blue Black Blue\nBlue Black Black Blue Blue Blue Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Blue Blue Black\nBlue Black Black Blue Blue Blue Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Blue Blue Blue Black Blue\nBlue Blue Blue Blue Blue Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Blue Black Blue\nBlue Black Black Blue Blue Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Blue Blue Blue Blue\nBlack Blue Black Blue Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black\nBlue Blue Black Black Blue Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Black\nBlue Black Black Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Black Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Blue Blue Black Blue Blue\nBlack Blue Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Blue Black Blue Blue Blue Black\nBlue Blue Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Black Blue Blue Black Blue Blue Black Blue\nBlue Blue Black Blue Blue Blue Blue Black Blue Black Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Black Blue Blue Blue Blue Blue Black Blue Black Blue Black Blue Blue Blue\nBlue Blue Blue Black Black Blue Black Blue Black Black Black Black Black Black Blue Blue Blue Black Blue Blue Black Black\nBlue Black Blue Black Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Blue Black Black Black Blue Blue\nBlue Blue Blue Blue Black Blue Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Black Blue\n\n\nExample 3\nInput:\nBlack Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Blue\nBlue Black Blue Blue Blue Black Blue Blue Blue Blue Black Blue Blue Black Black Blue Blue Blue Black Black Black Blue\nBlue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Black Blue Black Black Black Blue Blue Blue Black Blue Black\nBlack Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Blue Black Black Blue Blue Blue Blue Blue\nBlue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Black Blue Blue Blue Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Blue Blue Black Black Blue Blue Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Black\nBlue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Blue Black Black Blue Blue\nBlue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Blue Black Black Blue Blue Black Black Black\nBlack Blue Black Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Blue Black\nBlue Black Black Blue Blue Blue Blue Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue\nBlue Black Black Blue Black Blue Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue\nBlue Black Black Blue Blue Blue Blue Black Red Red Red Red Red Red Red Red Red Red Red Red Black Blue\nBlack Blue Black Blue Blue Black Blue Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Black\nBlue Blue Blue Black Black Black Blue Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue\nBlack Blue Blue Black Blue Black Blue Black Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black\nBlue Black Black Blue Black Blue Blue Blue Blue Blue Black Blue Black Black Blue Black Blue Blue Blue Black Blue Black\nBlue Black Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black\nBlue Black Blue Black Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue\nBlue Blue Black Blue Blue Blue Blue Blue Black Black Black Blue Blue Black Black Blue Blue Blue Black Blue Blue Blue\nBlue Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue\nBlue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue\nBlue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue\n\nOutput:\nBlack Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Blue\nBlue Black Blue Blue Blue Black Blue Blue Blue Blue Black Blue Blue Black Black Blue Blue Blue Black Black Black Blue\nBlue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Black Blue Black Black Black Blue Blue Blue Black Blue Black\nBlack Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Blue Black Black Blue Blue Blue Blue Blue\nBlue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Black Blue Blue Blue Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Blue Blue Black Black Blue Blue Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Black\nBlue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Blue Black Black Blue Blue\nBlue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Blue Black Black Blue Blue Black Black Black\nBlack Blue Black Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black\nBlue Black Black Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlue Black Black Blue Black Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlue Black Black Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Blue\nBlack Blue Black Blue Blue Black Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black\nBlue Blue Blue Black Black Black Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlack Blue Blue Black Blue Black Blue Black Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black\nBlue Black Black Blue Black Blue Blue Blue Blue Blue Black Blue Black Black Blue Black Blue Blue Blue Black Blue Black\nBlue Black Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black\nBlue Black Blue Black Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue\nBlue Blue Black Blue Blue Blue Blue Blue Black Black Black Blue Blue Black Black Blue Blue Blue Black Blue Blue Blue\nBlue Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue\nBlue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue\nBlue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlue Black Black Blue Black Blue Black Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Blue Black Blue Blue Blue Black\nBlue Blue Blue Black Blue Blue Blue Blue Blue Black Blue Black Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue\nBlue Black Blue Blue Blue Blue Blue Blue Blue Blue Black Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlue Blue Blue Black Blue Black Blue Blue Blue Blue Black Red Red Red Red Red Red Red Red Red Red Red Red Blue\nBlue Black Blue Blue Blue Blue Black Blue Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue\nBlack Blue Blue Black Blue Blue Blue Blue Blue Black Blue Red Red Red Red Red Red Red Red Red Red Red Red Blue\nBlack Black Blue Blue Black Blue Blue Blue Blue Blue Black Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Blue Black Blue Blue Black Blue Black Blue Black Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlue Blue Blue Blue Black Blue Blue Black Blue Blue Black Red Red Red Red Red Red Red Red Red Red Red Red Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Blue Black Blue Blue Blue Black Blue Blue Black Blue\nBlue Black Blue Blue Black Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black Blue Black Blue\nBlue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black Blue Blue Blue Black Blue Blue Blue Blue\nBlue Blue Blue Black Blue Black Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Black Black Blue Blue Black Blue Black\nBlue Blue Blue Black Blue Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black\nBlue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Black Blue\nBlack Black Black Blue Blue Blue Black Blue Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Black Blue\nBlack Black Blue Black Black Black Black Blue Blue Black Black Black Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Blue\nBlue Black Blue Blue Black Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue\nBlack Black Blue Blue Black Black Black Blue Black Black Blue Blue Black Black Blue Blue Black Blue Blue Blue Black Blue Blue Black\nBlue Blue Black Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Black Blue Black Blue Black Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Blue Black Blue Blue Blue Black\nBlue Blue Blue Black Blue Blue Blue Blue Blue Black Blue Black Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue\nBlue Black Blue Blue Blue Blue Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlue Blue Blue Black Blue Black Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue\nBlue Black Blue Blue Blue Blue Black Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue\nBlack Blue Blue Black Blue Blue Blue Blue Blue Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue\nBlack Black Blue Blue Black Blue Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Blue Black Blue Blue Black Blue Black Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlue Blue Blue Blue Black Blue Blue Black Blue Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Blue Black Blue Blue Blue Black Blue Blue Black Blue\nBlue Black Blue Blue Black Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black Blue Black Blue\nBlue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black Blue Blue Blue Black Blue Blue Blue Blue\nBlue Blue Blue Black Blue Black Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Black Black Blue Blue Black Blue Black\nBlue Blue Blue Black Blue Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black\nBlue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Black Blue\nBlack Black Black Blue Blue Blue Black Blue Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Black Blue\nBlack Black Blue Black Black Black Black Blue Blue Black Black Black Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Blue\nBlue Black Blue Blue Black Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue\nBlack Black Blue Blue Black Black Black Blue Black Black Blue Blue Black Black Blue Blue Black Blue Blue Blue Black Blue Blue Black\nBlue Blue Black Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown 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 Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black 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:\nGray Brown Yellow Yellow Red\nGray Brown Yellow Yellow Red\nGray Brown Yellow Yellow Red\nGray Brown Yellow Yellow Red\nGray Brown Yellow Yellow Red\n\nOutput:\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nOrange Gray Orange Pink Pink\nOrange Gray Orange Pink Pink\nOrange Gray Orange Pink Pink\nOrange Gray Orange Pink Pink\nOrange Gray Orange Pink Pink\n\nOutput:\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nGray Pink Pink Red Gray\nGray Pink Pink Red Gray\nGray Pink Pink Red Gray\nGray Pink Pink Red Gray\nGray Pink Pink Red Gray\n\nOutput:\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nYellow Pink Brown Yellow Brown\nYellow Pink Brown Yellow Brown\nYellow Pink Brown Yellow Brown\nYellow Pink Brown Yellow Brown\nYellow Pink Brown Yellow Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Red Red Red Black Black Black Black\nBlack Black Black Green 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 Red Red Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red\nBlack Red Red\nRed Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black\nBlack Green Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple\nBlack Purple Purple\nPurple Purple Purple\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 Purple Purple Purple Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Purple Purple Black Black Black Black Purple Black Black\nBlack Green Purple Purple Black Black Purple Purple Purple Black\nBlack Black Black Purple Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Black\nBlack Purple Purple\nBlack Black Purple\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 Orange Orange Orange Black Orange Orange Orange Black\nBlack Black Black Black Orange Black Green Orange Black Black\nBlack Black Black Black Orange Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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```\nOrange Orange Orange\nBlack Orange Black\nBlack Orange Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Green Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Green Yellow Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Red Black 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 Black Black Black Black Blue 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 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:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Red Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Red Blue Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Blue Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Blue Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nGreen Black Green Black Black Black Black Black Black Black Red Red Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Blue Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Yellow Yellow Red Yellow Yellow Black Black Black\nBlack Black Black Black Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Yellow Yellow Yellow Black Black Red Black Black Black Black\nBlack Black Black Green Yellow Yellow Red Black Black Green Black Black Black Black\nBlack Black Black Blue Red Black Black Black Black Blue Black Black Black Black\nBlack Black Black Green Yellow Yellow Red Black Black Black Black Black Black Black\nBlack Black Black Green Yellow Yellow Yellow Black Black Blue Blue Red Red Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Red 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 Green Black Black Black Black Black\nBlack Green Black Black Black Black Black\nBlack Green 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 Black Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red 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 Green Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black 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 Green Green Black\nBlack Black Black Black Black Black Green Green 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:\nBrown Brown Brown Brown Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nPurple Purple Purple Purple Black Orange Black Black Black Black\nPurple Black Purple Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue\nGreen Black Black Black Black Black Blue Blue Blue Blue\n\nOutput:\nBlack Black Black\nBlack Green Black\nBlack Black Black\n\n\nExample 2\nInput:\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Pink Black\nBlack Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Black Black\nGray Black Black Black Black Black Red Red Red Black\n\nOutput:\nBlack Black Black\nBlack Gray Black\nBlack Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Black Black\nRed Red Black\nRed Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Black Black Brown\nRed Red Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nGray Black Black Black Black Yellow Yellow Yellow Yellow Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black\nBlack Gray 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 Black Black Black Black Red Black\nBlack Blue Red Black Blue Black Black\nBlue Black Black Red Black Black Black\nBlack Green Black Black Black Black Black\nBlue 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 Black\nBlack Blue Black Black Black Black Black\nBlue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Green Black Black\nBlack Green Black Black Black Black Black\nBlack Black Black Black Black Red Black\nRed Black Black Black Black Black Black\nBlack Black Red Red Black Green Black\nBlack Black Black Black Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Black Black Black Black Black Black\nBlue 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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Red 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 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 Blue Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Blue Black Black Black Black\nBlack Black Black Black Black Black Green 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\nBlack Black Black Black Black Black Black Black Black Green 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 Green Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue 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 Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black 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 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\nBlack Black Red Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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:\nPurple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange 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```\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Orange Pink Gray Gray Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Orange Orange Red Gray Black Black Black Pink Orange Orange Pink Black Black\nBlack Black Black Black Black Orange Red Red Red Yellow Brown Black Black Red Gray Black Black\nBlack Black Black Black Black Black Black Brown Yellow Yellow Brown Brown Red Gray Gray Black Black\nBlack Black Black Black Black Black Brown Black Green Green Green Yellow Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Green Purple Green Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Red Brown Brown Yellow Yellow Brown Black Black Black Black Black\nBlack Black Black Black Gray Red Red Black Black Yellow Red Red Red Orange Black Black Black\nBlack Black Black Black Pink Orange Orange Black Black Black Black Gray Red Orange Orange Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Gray Gray Pink Orange 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 Orange Pink Gray Gray Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Orange Orange Red Gray Black Black Black Pink Orange Orange Pink Black Black\nBlack Black Black Black Black Orange Red Red Red Yellow Brown Black Yellow Red Gray Black Black\nBlack Black Black Black Black Yellow Black Brown Yellow Yellow Brown Brown Red Gray Gray Black Black\nBlack Black Black Black Black Black Brown Yellow Green Green Green Yellow Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Green Purple Green Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Green Green Yellow Yellow Black Black Black Black\nBlack Black Black Black Gray Gray Red Brown Brown Yellow Yellow Brown Black Yellow Black Black Black\nBlack Black Black Black Gray Red Red Black Yellow Yellow Red Red Red Orange Black Black Black\nBlack Black Black Black Pink Orange Orange Yellow Black Black Black Gray Red Orange Orange Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Gray Gray Pink Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Brown Black Red Green Brown Brown Black Black Black Black\nBlack Black Black Gray Black Green Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Red Red Black Blue Yellow Red Red Yellow Purple Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Green Gray Gray Black Black Black\nBlack Black Black Black Black Black Green Red Yellow Brown Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Gray Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Gray Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Yellow Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Brown Yellow Red Green Brown Brown Black Black Black Black\nBlack Black Black Gray Yellow Green Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Red Red Yellow Blue Yellow Red Red Yellow Purple Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Green Gray Gray Black Black Black\nBlack Black Black Black Yellow Yellow Green Red Yellow Brown Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Yellow Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Gray Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Orange Blue Black Black Brown Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Blue Green Blue Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Brown Black Orange Blue Orange Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink 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 Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Orange Blue Yellow Black Brown Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Blue Green Blue Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Brown Black Orange Blue Orange Yellow 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 Black Pink Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink 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 Blue Purple Blue Black Black Black Black Black Black\nBlack Black Black Black Black Gray Purple Purple Gray Black Black Black Black Black\nBlack Black Gray Black Green Black Blue Blue Black Black Black Black Black Black\nBlack Blue Purple Blue Blue Brown Yellow Blue Green Black Black Black Black Black\nBlack Purple Purple Blue Yellow Red Red Brown Pink Gray Blue Black Black Black\nBlack Blue Gray Pink Brown Red Black Yellow Blue Purple Purple Black Black Black\nBlack Black Black Green Blue Yellow Brown Blue Blue Purple Blue Black Black Black\nBlack Black Black Black Blue Blue Pink Green Black Gray Black Black Black Black\nBlack Black Black Gray Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Purple Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Purple Blue Black Black Black Black Black Black\nBlack Black Black Black Black Gray Purple Purple Gray Black Black Black Black Black\nBlack Black Gray Black Green Yellow Blue Blue Black Black Black Black Black Black\nBlack Blue Purple Blue Blue Brown Yellow Blue Green Black Black Black Black Black\nBlack Purple Purple Blue Yellow Red Red Brown Pink Gray Blue Black Black Black\nBlack Blue Gray Pink Brown Red Yellow Yellow Blue Purple Purple Black Black Black\nBlack Black Black Green Blue Yellow Brown Blue Blue Purple Blue Black Black Black\nBlack Black Black Black Blue Blue Pink Green Black Gray Black Black Black Black\nBlack Black Black Gray Purple Purple Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Blue Purple Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Brown\nBlack Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Purple Brown Black\nBlack Black Black Black Black Black Black Brown Black Brown\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Brown Brown\nBlack Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Purple Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Brown Brown Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Yellow Black\nBlack Black Black Yellow Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Black Green Black Red Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black 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 Red Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nRed Red Green Red Red Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Orange Blue Orange Black Black\nBlack Black Black Black Black Blue Yellow Black Blue Black\nBlack Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Blue Black Black\nBlack Black Black Black Blue Orange Blue Orange Black Black\nBlack Black Black Black Blue Blue Yellow Blue Blue Black\nBlack Black Black Black Black Orange Blue Orange Blue Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Blue Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Yellow Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Blue Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Yellow Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Blue Green Green Green Black Black Black\nBlack Black Black Green Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Yellow Green Green Green Black Black Black\nBlack Black Black Green Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Pink Pink Pink Pink Black Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Blue Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Pink Pink Pink Pink Black Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Yellow Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Green Green Pink Purple Brown Orange Orange Blue\nPurple Purple Red Green Red Yellow Purple Orange Red\nOrange Orange Orange Purple Green Purple Red Blue Orange\nYellow Purple Blue Orange Pink Pink Purple Purple Pink\nBlue Purple Brown Green Green Brown Pink Orange Brown\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Green Pink Purple Brown Orange Orange Blue\nPurple Purple Red Green Red Yellow Purple Orange Red\nOrange Orange Orange Purple Green Purple Red Blue Orange\nYellow Purple Blue Orange Pink Pink Purple Purple Pink\nBlue Purple Brown Green Green Brown Pink Orange Brown\nBlack Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black\nBlack Black Blue Black Blue Black Black Black Blue\nBlack Black Black Black Black Black Black Black Red\n\n\nExample 2\nInput:\nPurple Yellow Orange Pink Orange Brown Red Red Brown Purple\nGreen Green Red Purple Blue Pink Green Yellow Brown Red\nYellow Blue Pink Blue Brown Red Purple Brown Red Purple\nRed Green Blue Red Red Pink Pink Yellow Orange Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Yellow Orange Pink Orange Brown Red Red Brown Purple\nGreen Green Red Purple Blue Pink Green Yellow Brown Red\nYellow Blue Pink Blue Brown Red Purple Brown Red Purple\nRed Green Blue Red Red Pink Pink Yellow Orange Red\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Red Blue Blue Black Black Black Black Blue\nBlack Red Black Red Black Blue Black Black Blue Black\nBlack Black Blue Black Red Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Blue Black Black\n\n\nExample 3\nInput:\nPink Green Pink Orange Blue Yellow Green Orange Pink Orange\nRed Orange Green Brown Blue Purple Brown Red Blue Yellow\nYellow Blue Red Purple Red Green Red Green Yellow Blue\nYellow Orange Purple Pink Orange Green Red Purple Orange Blue\nBrown Blue Brown Orange Brown Pink Brown Yellow Brown 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\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Green Pink Orange Blue Yellow Green Orange Pink Orange\nRed Orange Green Brown Blue Purple Brown Red Blue Yellow\nYellow Blue Red Purple Red Green Red Green Yellow Blue\nYellow Orange Purple Pink Orange Green Red Purple Orange Blue\nBrown Blue Brown Orange Brown Pink Brown Yellow Brown Purple\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Red\nBlack Red Blue Black Blue Black Blue Black Black Red\nBlue Black Black Black Red Black Black Blue Red Black\nBlack Black Black Black Red Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nOrange Pink Red Red Brown Red Orange Orange\nOrange Green Pink Red Orange Yellow Purple Brown\nPink Orange Yellow Orange Pink Red Orange Brown\nBlue Brown Green Pink Orange Brown Orange Red\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Pink Red Red Brown Red Orange Orange\nOrange Green Pink Red Orange Yellow Purple Brown\nPink Orange Yellow Orange Pink Red Orange Brown\nBlue Brown Green Pink Orange Brown Orange Red\nRed Black Black Black Black Black Black Blue\nBlack Black Black Black Black Blue Black Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Blue Blue Black Blue Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black 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 Green Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Black Black\nGreen Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Black Black\nGreen Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Blue Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Green Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Green Black Black Black\nRed 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 Green Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Green Green Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Blue Black Black Black Black Red Red\nBlack Black Blue Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Green Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Green Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Blue Black Black Black Black Red Red\nBlack Black Blue Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Green Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Green Black Blue Red Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Green Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Yellow Red Yellow Red Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black 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 Pink Black Black Black Pink Black Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Pink Black Black Black Black Black\nPink 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 Green Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Pink Black Black Black Pink Black Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Pink Black Black Black Black Black\nPink 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 Green Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Green Black Black Black Black Black Pink\nBlack Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black\nBlack Black Black Pink Black Black Black Black\nPink Black Pink Black Black Black Black Black\n\nOutput:\nBlack Green Black Black Black Black Black Pink\nBlack Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black\nBlack Black Black Pink Black Black Black Black\nPink Black Pink Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black\nBlack Black Pink Black Black Black Black Black\nBlack Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Pink\nPink Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black\nBlack Black Pink 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 Pink Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Pink\nPink Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black\nBlack Black Pink 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 Green Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Pink Black Black\nBlack Pink Black Black Pink Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink 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 Green Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Pink Black Black\nBlack Pink Black Black Pink Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\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 Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray 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:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\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 Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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```\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\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:\nPink Brown Purple Gray Pink Orange Brown Green\nRed Pink Pink Purple Pink Yellow Brown Pink\nBrown Black Gray Yellow Orange Pink Green Orange\nBlue Brown Pink Pink Red Pink Black Orange\nRed Red Red Orange Green Yellow Purple Orange\nPurple Pink Green Green Brown Red Pink Orange\nYellow Gray Gray Orange Yellow Purple Brown Black\nOrange Orange Green Green Brown Yellow Green Gray\n\nOutput:\nPink Brown Purple Gray Pink Orange Brown Green\nPink Brown Purple Gray Pink Orange Brown Green\nPink Brown Purple Gray Pink Orange Brown Green\nPink Brown Purple Gray Pink Orange Brown Green\nPink Brown Purple Gray Pink Orange Brown Green\nPink Brown Purple Gray Pink Orange Brown Green\nPink Brown Purple Gray Pink Orange Brown Green\nPink Brown Purple Gray Pink Orange Brown Green\n\n\nExample 2\nInput:\nYellow Blue Red Green Pink Blue Gray\nBlue Pink Brown Purple Brown Black Orange\nPurple Yellow Purple Purple Orange Orange Purple\nGray Pink Black Pink Purple Gray Red\nRed Brown Green Green Pink Green Black\nOrange Orange Gray Pink Black Red Blue\nGray Black Orange Blue Orange Yellow Gray\n\nOutput:\nYellow Blue Red Green Pink Blue Gray\nYellow Blue Red Green Pink Blue Gray\nYellow Blue Red Green Pink Blue Gray\nYellow Blue Red Green Pink Blue Gray\nYellow Blue Red Green Pink Blue Gray\nYellow Blue Red Green Pink Blue Gray\nYellow Blue Red Green Pink Blue Gray\n\n\nExample 3\nInput:\nBrown Yellow Yellow Red Green Blue Orange Purple Pink\nPink Yellow Gray Brown Brown Black Orange Green Pink\nRed Orange Black Black Purple Red Pink Yellow Blue\nGreen Gray Orange Brown Brown Pink Yellow Gray Orange\nBrown Purple Green Purple Gray Black Yellow Red Yellow\nBrown Black Black Orange Brown Pink Orange Blue Purple\nRed Black Red Green Red Black Green Brown Green\n\nOutput:\nBrown Yellow Yellow Red Green Blue Orange Purple Pink\nBrown Yellow Yellow Red Green Blue Orange Purple Pink\nBrown Yellow Yellow Red Green Blue Orange Purple Pink\nBrown Yellow Yellow Red Green Blue Orange Purple Pink\nBrown Yellow Yellow Red Green Blue Orange Purple Pink\nBrown Yellow Yellow Red Green Blue Orange Purple Pink\nBrown Yellow Yellow Red Green Blue Orange Purple Pink\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Green Pink Brown Gray Brown Blue Pink\nYellow Gray Yellow Gray Purple Purple Pink Gray Gray\nGray Orange Purple Green Black Pink Pink Gray Brown\nYellow Black Blue Gray Brown Brown Purple Blue Orange\nPink Black Pink Green Orange Red Yellow Pink Blue\nGray Red Red Purple Pink Orange Orange Green Black\nRed Brown Brown Blue Orange Orange Purple Pink Purple\nGreen Black Gray Black Green Yellow Yellow Blue Brown\nOrange Black Blue Brown Green Pink Black Yellow 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```\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Green Black Black\nBlack Black Black Black Green Purple Green Black\nBlack Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black\nGreen Purple Green Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black\nBlack Gray Black Black Black Green Purple Green\nBlack Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Orange Black Black Yellow Black Black Yellow Black\nBlack Orange Black Orange Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Gray Black Green Purple Green Green Purple Green\nBlack Gray Black Gray Green Green Black Black Green Black\nBlack Black Black Green Purple Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black\nBlack Yellow Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Purple Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Green Green Purple Green\nBlack Black Black Black Black Black Green Purple Green Green Black\nBlack Green Black Black Black Black Black Green Purple Green Black\nGreen Purple Green Black Gray Black Black Black Green Black Black\nBlack Green Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Black Black Orange Black Black Yellow Black Black\nYellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Green Purple Green Black Black Black Black\nBlack Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Green Black Black\nGreen Green Black Gray Black Green Purple Green Black\nPurple Green Black Black Black Black Green Black Black\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Black Black Black Black Yellow Black Pink\nBlack Black Yellow Pink Red Black Gray Black\nBlack Blue Black Black Black Black Red Pink\nBlack Black Black Black Gray Black Black Gray\nBlack Black Black Black Green Red Black Black\nBlack Black Black Green Black Green Black Black\nBlack Blue Black Black Black Green Red Black\nBlack Yellow Black Black Green Yellow Black Black\n\nOutput:\nPurple Black Black Black Black Gray Black Gray\nBlack Black Gray Gray Green Black Pink Black\nBlack Orange Black Black Black Black Green Gray\nBlack Black Black Black Pink Black Black Pink\nBlack Black Black Black Purple Green Black Black\nBlack Black Black Purple Black Purple Black Black\nBlack Orange Black Black Black Purple Green Black\nBlack Gray Black Black Purple Gray Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Red Black\nBlack Black Gray Black Black Black Black\nRed Black Yellow Black Pink Red Black\nBlack Black Black Pink Black Gray Gray\nBlack Yellow Black Black Yellow Black Black\nPink Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Green Black\nBlack Black Pink Black Black Black Black\nGreen Black Gray Black Gray Green Black\nBlack Black Black Gray Black Pink Pink\nBlack Gray Black Black Gray Black Black\nGray Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Pink Black Black Black Black\nBlack Black Black Black Pink Yellow Black\nBlack Black Black Black Blue Black Black\nBlack Red Gray Black Gray Black Black\nBlack Green Black Black Black Black Black\nBlack Black Yellow Black Black Black Black\nBlack Gray Black Black Gray Red Pink\nBlack Pink Black Black Black Black Gray\nBlue Black Black Black Red Black Black\n\nOutput:\nBlack Black Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black\nBlack Black Black Black Orange Black Black\nBlack Green Pink Black Pink Black Black\nBlack Purple Black Black Black Black Black\nBlack Black Gray Black Black Black Black\nBlack Pink Black Black Pink Green Gray\nBlack Gray Black Black Black Black Pink\nOrange Black Black Black Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Red Green Black Black Gray\nBlue Black Black Yellow Black Black Black Pink Black\nGray Black Yellow Black Gray Yellow Black Red Black\nBlack Black Red Black Black Black Black Black Black\nRed Black Yellow Black Green Black Black Black Black\nBlack Black Black Black Red Black Black Pink Black\nBlue Black Black Black Black Red Green Black Gray\nBlack Black Blue Blue Black Black Black Red Gray\nBlack Black Black Black Black Black Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black Black Black Green Purple Black Black Pink\nOrange Black Black Gray Black Black Black Gray Black\nPink Black Gray Black Pink Gray Black Green Black\nBlack Black Green Black Black Black Black Black Black\nGreen Black Gray Black Purple Black Black Black Black\nBlack Black Black Black Green Black Black Gray Black\nOrange Black Black Black Black Green Purple Black Pink\nBlack Black Orange Orange Black Black Black Green Pink\nBlack Black Black Black Black Black Pink Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Pink Black Black Black Black Black Black Red Black Black\nBlack Black Pink Pink Pink Black Black Black Black Red Red Red Black\nBlack Black Black Pink Black Black Black Black Black Black Red 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 Green Green Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Green Green Green Black Black Black Black\nBlack Black Yellow Black Black Black Green Green Black Black Black Black Black\nBlack 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\nBlack Black Black Blue Black Black Orange Black Orange Black Black Black Black\nBlack Black Blue Blue Blue Black Orange Orange Orange Black Black Black Black\nBlack Black Black Blue Black Black Orange Orange Orange Black Black Black Black\n\nOutput:\nGreen Black Black Black Black Black Black Black Black\nBlue Black Black 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 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 Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Green Black Black Black Black\nBlack Yellow Black Black Blue Black Green Green Green Black Black Black\nBlack Black Black Black Blue Black Black Green Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Red Black Red\nOrange Orange Orange Black Black Pink Black Black Black Red Red Red\nBlack Orange Orange Black Pink Pink Pink Black Black Red Red Red\nBlack Black Black Black Black Pink 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 Red Black Red\nBlack Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Orange Black Black Black Blue Black Black Black\nYellow Yellow Yellow Black Orange Orange Black Black Blue Blue Blue Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Blue Black Black Black\nYellow Yellow Yellow 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\nBlack Black Red Red Red Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Red Black Black Green Green Black Black Black Black Black\nBlack Black Pink Black Black Black Green Green Green Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Orange Black Orange Black Black Black Black Black Red Red Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Orange Black Blue Blue Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Yellow Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Black Red Red Red Black Black Black\nBlue Blue Blue Yellow Red Red Black Black Black\nBlue Blue Blue Yellow 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 Purple Yellow Black Purple Black Black Black Black Black\nBlack Black Black Purple Black Yellow Purple Black Yellow Black Black Black\nGreen Black Black Purple Black Black Black Black Black Black Black Black\nGreen Green Gray Green Green Black Black Black Black Green Black Black\nBlack Black Green Green Green Black Black Black Green Green Black Black\nBlack Black Green Green Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Purple Yellow Black Purple Black Black Black Black Black\nBlack Black Black Purple Black Yellow Orange Black Yellow Black Black Black\nGreen Black Black Purple Black Black Orange Orange Black Black Black Black\nYellow Green Gray Yellow Yellow Black Black Black Black Green Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Green Green Black Black\nBlack Black Green Yellow Yellow Yellow Black Black Black Green 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\n\n\nExample 2\nInput:\nBlack Black Black Black Purple Purple Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Blue\nBlack Black Black Purple Purple Purple Black Black Pink Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Green Purple\nBlack Black Black Black Black Green Green Green Gray Purple\n\nOutput:\nYellow Black Black Black Orange Purple Yellow Green Black Black\nYellow Black Black Black Orange Black Yellow Green Green Blue\nYellow Black Black Purple Orange Purple Black Black Pink Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Green Purple\nBlack Black Black Black Black Green Green Green Gray Purple\n\n\nExample 3\nInput:\nBlack Black Green Green Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPurple Black Black Purple Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black\nBlack Black Black Purple Black Pink Black Black Black\n\nOutput:\nBlack Black Orange Green Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black\nOrange Orange Orange Yellow Yellow Green Black Black Black\nBlack Black Black Black Black Green Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Purple Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black\nBlack Black Black Purple Black Pink Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Green\nBlack Gray Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black\nBlack Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Purple Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black 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 Yellow Yellow Black Green Green\nBlack Black Black Yellow Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Green\nBlack Gray Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Black Black\nBlack Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black\nBlack Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Purple Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\n\nOutput:\nBlack 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\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 Yellow\nBlack 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\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 Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nRed Black Black Black Black Black Yellow Black Black Red Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Yellow Black Black Black Red\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Green Green Green Yellow Yellow\nBlack Black Black Black Black Black Black Green Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Gray Black Black Black Black Black Black\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 Black Black Black Black 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 Yellow Yellow Black Black Black Black\nBlack Black Black Gray Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
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