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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\nBlack Black Black Black Black Black 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 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 Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\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 Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Red Red 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 Black Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black 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 Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\n\n\nExample 3\nInput:\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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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\nPink Pink Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Red 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 Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange\n\nOutput:\nPink Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange\n\nOutput:\nGreen Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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```\nGray Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Purple Orange Yellow Black Blue Yellow Blue Black Purple Blue Orange Pink\nBlack Orange Blue Black Blue Yellow Blue Blue Orange Blue Purple Pink Blue\nBlack Orange Orange Yellow Purple Yellow Yellow Purple Black Black Pink Orange Purple\nYellow Orange Blue Orange Orange Purple Black Black Purple Pink Orange Orange Black\nBlack Black Black Blue Blue Orange Yellow Yellow Pink Yellow Black Orange Black\nBlack Black Purple Blue Black Purple Blue Pink Yellow Black Black Black Purple\nOrange Black Yellow Yellow Black Yellow Pink Purple Black Black Purple Black Blue\nOrange Orange Yellow Black Black Pink Orange Yellow Orange Black Purple Black Purple\nPurple Black Purple Black Pink Yellow Yellow Black Yellow Orange Blue Black Black\nOrange Black Blue Pink Black Black Blue Purple Black Black Blue Blue Black\nPurple Black Pink Blue Blue Yellow Purple Orange Black Orange Black Black Blue\nYellow Pink Blue Purple Orange Blue Black Black Black Purple Yellow Purple Black\nPink Purple Purple Orange Yellow Black Yellow Blue Orange Yellow Yellow Black Purple\n\nOutput:\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple\nBlack Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Orange Yellow Yellow Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Blue Orange Yellow Yellow Purple Purple\nOrange Orange Orange Orange Orange Orange Yellow Blue Orange Yellow Yellow Purple Purple\nPurple Purple Purple Purple Purple Blue Yellow Blue Orange Yellow Yellow Purple Purple\nOrange Orange Orange Orange Yellow Blue Yellow Blue Orange Yellow Yellow Purple Purple\nPurple Purple Purple Orange Yellow Blue Yellow Blue Orange Yellow Yellow Purple Purple\nYellow Yellow Purple Orange Yellow Blue Yellow Blue Orange Yellow Yellow Purple Purple\nPink Purple Purple Orange Yellow Black Yellow Blue Orange Yellow Yellow Black Purple\n\n\nExample 2\nInput:\nYellow Black Yellow Black Black Yellow Black Purple Black Black Black Yellow\nBlack Black Black Black Yellow Purple Black Black Black Purple Yellow Black\nPurple Black Black Purple Black Purple Black Black Black Yellow Black Yellow\nBlack Black Yellow Black Black Black Black Black Yellow Black Purple Black\nBlack Black Yellow Purple Yellow Purple Black Yellow Black Black Black Black\nPurple Black Black Yellow Yellow Black Yellow Black Purple Black Yellow Purple\nBlack Purple Black Black Black Yellow Purple Purple Yellow Black Black Black\nBlack Purple Black Black Yellow Black Black Black Purple Black Purple Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black\nBlack Black Yellow Black Purple Black Black Black Purple Black Black Black\nBlack Yellow Purple Black Purple Black Yellow Black Black Black Black Black\nYellow Black Black Black Black Yellow Yellow Black Yellow Black Black Black\n\nOutput:\nYellow Black Yellow Black Black Yellow Black Purple Purple Purple Purple Purple\nBlack Black Black Black Yellow Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Yellow Black Black Black Black Black Purple Black Purple Purple\nBlack Black Yellow Purple Purple Purple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Black\nBlack Purple Purple Purple Purple Black Black Black Purple Black Purple Yellow\nBlack Yellow Yellow Yellow Purple Yellow Black Yellow Purple Black Black Black\nBlack Black Purple Black Purple Black Black Black Purple Black Black Black\nBlack Yellow Purple Black Purple Black Yellow Black Black Black Black Black\nYellow Black Black Black Black Yellow Yellow Black Yellow Black Black Black\n\n\nExample 3\nInput:\nYellow Orange Yellow Black Orange Orange Blue Blue Purple Orange Orange Brown\nBlack Orange Blue Blue Orange Black Blue Yellow Blue Blue Brown Purple\nBlue Orange Black Yellow Blue Orange Orange Black Orange Brown Purple Orange\nPurple Purple Orange Black Yellow Orange Orange Blue Brown Black Blue Orange\nBlack Orange Blue Purple Black Purple Black Brown Black Yellow Blue Yellow\nYellow Black Purple Orange Black Blue Brown Yellow Yellow Blue Blue Black\nBlack Black Yellow Black Black Brown Yellow Purple Purple Black Purple Blue\nPurple Yellow Purple Black Brown Yellow Orange Black Black Blue Black Purple\nBlack Purple Yellow Brown Black Black Orange Black Yellow Blue Orange Black\nYellow Black Brown Blue Yellow Purple Purple Orange Black Black Black Blue\nBlack Brown Black Purple Purple Yellow Yellow Orange Black Black Purple Black\nBrown Black Black Orange Blue Yellow Purple Black Blue Black Blue Blue\nOrange Blue Black Purple Yellow Black Black Black Purple Yellow Black Orange\nPurple Black Purple Black Yellow Black Black Yellow Black Purple Black Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Yellow\nBlack Orange Orange Orange Orange Orange Orange Orange Purple Purple Blue Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Blue Yellow\nBlack Black Yellow Yellow Yellow Yellow Purple Yellow Purple Purple Blue Yellow\nPurple Purple Purple Purple Purple Yellow Purple Yellow Purple Purple Blue Yellow\nBlack Purple Purple Purple Yellow Yellow Purple Yellow Purple Purple Blue Yellow\nYellow Yellow Yellow Purple Yellow Yellow Purple Yellow Purple Purple Blue Yellow\nBlack Blue Purple Purple Yellow Yellow Purple Yellow Purple Purple Blue Yellow\nPurple Blue Purple Purple Yellow Yellow Purple Yellow Purple Purple Blue Yellow\nPurple Blue Purple Purple Yellow Black Black Yellow Purple Purple Black Yellow\nPurple Black Purple Black Yellow Black Black Yellow Black Purple Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Orange Red Black Black Black Black Black Black Red Red Black Black Pink\nBlack Black Black Black Black Red Black Red Black Black Black Black Pink Orange\nBlack Orange Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Red Black Red Orange Orange Black Black Black Black Pink Black Orange Orange\nBlack Orange Black Black Orange Black Black Black Black Pink Black Red Black Black\nRed Orange Black Black Black Black Black Red Pink Red Black Orange Black Red\nBlack Black Black Red Black Black Red Pink Black Orange Black Orange Orange Red\nBlack Black Orange Black Red Black Pink Black Black Orange Red Black Red Black\nBlack Black Black Orange Black Pink Red Red Black Orange Black Red Black Black\nOrange Black Red Black Pink Black Black Orange Black Black Black Red Black Black\nOrange Black Orange Pink Orange Orange Black Orange Black Black Black Black Red Black\nBlack Black Pink Black Red Red Black Black Black Orange Black Black Orange Black\nOrange Pink Black Black Black Black Black Black Red Black Black Red Red Black\nPink Black Orange Black Black Red Black Orange Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red\nRed Red Red Red Red Red Red Red Red Orange Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Orange Red Red Red Red\nBlack Black Orange Orange Orange Orange Orange Orange Red Orange Red Red Red Black\nBlack Black Black Orange Orange Orange Red Orange Red Orange Black Red Red Black\nOrange Orange Orange Orange Orange Red Black Orange Red Orange Black Red Red Black\nOrange Orange Orange Orange Red Red Black Orange Red Orange Black Red Red Black\nBlack Black Orange Black Red Red Black Orange Red Orange Black Red Red Black\nOrange Orange Orange Black Black Red Black Orange Red Black Black Red Red Black\nPink Black Orange Black Black Red Black Orange Black Black Black Black Black Black\n```",
"role": "assistant"
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]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Blue Gray\n\nOutput:\nBlack Black Black Black Black Black Black Green Blue Gray\nBlack Black Black Black Black Black Black Green Blue Gray\nBlack Black Black Black Black Black Black Green Blue Gray\nBlack Black Black Black Black Black Black Green Blue Gray\nBlack Black Black Black Black Black Black Green Blue Gray\nBlack Black Black Black Black Black Black Green Blue Gray\nBlack Black Black Black Black Black Black Green Blue Gray\nBlack Black Black Black Black Black Black Green Blue Gray\nBlack Black Black Black Black Black Black Green Blue Gray\nBlack Black Black Black Black Black Black Green Blue Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Purple Red Gray\n\nOutput:\nBlack Black Black Black Black Black Brown Purple Red Gray\nBlack Black Black Black Black Black Brown Purple Red Gray\nBlack Black Black Black Black Black Brown Purple Red Gray\nBlack Black Black Black Black Black Brown Purple Red Gray\nBlack Black Black Black Black Black Brown Purple Red Gray\nBlack Black Black Black Black Black Brown Purple Red Gray\nBlack Black Black Black Black Black Brown Purple Red Gray\nBlack Black Black Black Black Black Brown Purple Red Gray\nBlack Black Black Black Black Black Brown Purple Red Gray\nBlack Black Black Black Black Black Brown Purple Red Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Green Red Brown\n\nOutput:\nBlack Black Black Black Black Black Purple Green Red Brown\nBlack Black Black Black Black Black Purple Green Red Brown\nBlack Black Black Black Black Black Purple Green Red Brown\nBlack Black Black Black Black Black Purple Green Red Brown\nBlack Black Black Black Black Black Purple Green Red Brown\nBlack Black Black Black Black Black Purple Green Red Brown\nBlack Black Black Black Black Black Purple Green Red Brown\nBlack Black Black Black Black Black Purple Green Red Brown\nBlack Black Black Black Black Black Purple Green Red Brown\nBlack Black Black Black Black Black Purple Green Red Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Orange Yellow\nBlack Black Black Black Black Black Black Black Orange Yellow\nBlack Black Black Black Black Black Black Black Orange Yellow\nBlack Black Black Black Black Black Black Black Orange Yellow\nBlack Black Black Black Black Black Black Black Orange Yellow\nBlack Black Black Black Black Black Black Black Orange Yellow\nBlack Black Black Black Black Black Black Black Orange Yellow\nBlack Black Black Black Black Black Black Black Orange Yellow\nBlack Black Black Black Black Black Black Black Orange Yellow\nBlack Black Black Black Black Black Black Black Orange 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\nBlack Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black\nBlack Black Black Pink Pink Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Pink 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 Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Pink Pink Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Pink Pink Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Pink Black Black Black Black Black Black Pink Black Black Black Black Black Black Pink Black Black Black\nBlack Black Pink Black Black Black Black Black Black Pink Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Pink Pink Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Pink Pink Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Pink Black Black Black Black Black Black Pink Black Black Black Black Black Black Pink Black Black Black\nBlack Black Pink Black Black Black Black Black Black Pink Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Pink Pink Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Pink Pink Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Pink Black Black Black Black Black Black Pink Black Black Black Black Black Black Pink Black Black Black\nBlack Black Pink Black Black Black Black Black Black Pink Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Orange Black Black\nBlack Black Black Black Orange Black Black Black\nBlack Black Orange Orange Black Orange 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Orange Black Black Black Black Orange Orange Black Orange Black Black Black Black Orange Orange Black Orange Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Orange Orange Black Orange Black Black Black Black Orange Orange Black Orange Black Black Black Black Orange Orange Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Orange Black Black Black Black Orange Orange Black Orange Black Black Black Black Orange Orange Black Orange Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Orange Orange Black Orange Black Black Black Black Orange Orange Black Orange Black Black Black Black Orange Orange Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Orange Black Black Black Black Orange Orange Black Orange Black Black Black Black Orange Orange Black Orange Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Orange Orange Black Orange Black Black Black Black Orange Orange Black Orange Black Black Black Black Orange Orange Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black\nBlack Black Black Gray Black Black Black Black\nBlack Black Black Gray Black Black Black Black\nBlack Black Gray Black Gray Gray 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Gray Black Gray Gray Black Black Black Black Gray Black Gray Gray Black Black Black Black Gray Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Gray Black Gray Gray Black Black Black Black Gray Black Gray Gray Black Black Black Black Gray Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Gray Black Gray Gray Black Black Black Black Gray Black Gray Gray Black Black Black Black Gray Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Pink Black Black Black\nBlack Black Pink Pink Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Pink Black Black Black Black Black Pink Black Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Pink Black Black Black Black Black Pink Black Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Pink Black Black Black Black Black Pink Black Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
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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 Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Brown Black Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Purple Black Black Black Brown Brown Brown Black Black Pink Black\nBlack Purple Purple Black Black Black Black Black Black Black Pink Pink Pink\n\nOutput:\nPink Pink Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Green Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Green Pink Pink Pink\nPink Pink Pink Pink Pink Pink Brown Pink Brown Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink\nPink Pink Gray Pink Pink Pink Brown Brown Brown Pink Pink Blue Pink\nPink Gray Gray Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\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 Pink Green Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Orange Orange Orange Orange Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Red Red Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Red Black Red Black Black Black\nBlack Black Black Black 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 Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Yellow Pink Gray Gray Gray Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Pink\nPink Pink Pink Pink Pink Pink Pink Red Red Red Red Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Green Pink Pink Pink Orange Pink Orange Pink Pink Pink\nPink Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink Pink\nPink Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink Pink\nPink Pink Pink Pink Pink Pink Orange Pink Orange Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Brown Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Purple Purple Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Purple Purple Pink Brown Brown Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black 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 Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green 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 Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Black\n\n\nExample 2\nInput:\nBlack Black Black Black Green Green Green\nBlack Black Black Green Green Green Green\nBlack Black Black Black Green Green Green\nGreen Green Green Black Black Black Black\nGreen Green Green Green Green Black Black\nGreen Green Green Green Green Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Green Green Green\nBlack Black Black Green Green Green Green\nBlack Black Black Black Green Green Green\nPink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink 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 Green Green Green Black Black Black Black\nBlack Black Green Green Green Black Black Black Black\nBlack Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Green Black Black Black\nGreen Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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\nPink Pink Black Black Black Green Black Black Black\nPink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Blue Blue Blue Blue Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Blue Blue Blue Blue Blue Blue Black Black Yellow Yellow\nPurple Purple Black Black Black Black Black Black Green Green Green Green Green Green Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nPurple Purple Black Black Black Black Black Black Green Green Green Green Green Green Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black 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\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Green Green Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Green Green Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Green Green Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Green Green Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Blue Blue Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Blue Blue Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Blue Blue Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Blue Blue Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black 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 Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack 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 Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Green Green Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Green Green Black Black Green Green Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Green Green Green Green Green Green Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Green Green Green Green Green Green Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nPurple Purple Purple Purple Purple Purple Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Red Red Red Red Red Red Red Red Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Red Red Red Red Red Red Red Red Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black 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 Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) 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 Purple Black Black Blue\nBlack Purple Black Brown Black Black Black Black\nYellow Blue Black Black Black Black Black Black\nBlack Black Blue Black Purple Black Blue Yellow\nBlue Black Black Brown Yellow Black Black Black\nBlue Black Black Purple Black Yellow Brown Yellow\nBlack Blue Black Black Black Black Purple Blue\nPurple Black Black Yellow Black Black Black Black\nBlack Black Blue Black Black Blue Black Yellow\nBlack Black Black Black Yellow Purple Yellow Purple\nBlack Black Brown Black Black Blue Black Black\nBlack Brown Black Black Black Black Black Black\n\nOutput:\nYellow Purple Blue Brown Purple Yellow Blue Blue\nYellow Purple Blue Brown Purple Yellow Blue Blue\nYellow Purple Blue Brown Purple Yellow Blue Blue\nYellow Purple Blue Brown Purple Yellow Blue Blue\nYellow Purple Blue Brown Purple Yellow Blue Blue\nYellow Purple Blue Brown Purple Yellow Blue Blue\nYellow Purple Blue Brown Purple Yellow Blue Blue\nYellow Purple Blue Brown Purple Yellow Blue Blue\nYellow Purple Blue Brown Purple Yellow Blue Blue\nYellow Purple Blue Brown Purple Yellow Blue Blue\nYellow Purple Blue Brown Purple Yellow Blue Blue\nYellow Purple Blue Brown Purple Yellow Blue Blue\n\n\nExample 2\nInput:\nBlack Black Orange Black Orange Black Black\nPurple Black Purple Green Purple Green Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Green Black Black Black Black\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black\nBlack Black Green Purple Purple Black Black\nBlack Green Green Black Purple Black Purple\nPurple Black Black Purple Purple Purple Purple\n\nOutput:\nPurple Green Orange Green Orange Green Orange\nPurple Green Orange Green Orange Green Orange\nPurple Green Orange Green Orange Green Orange\nPurple Green Orange Green Orange Green Orange\nPurple Green Orange Green Orange Green Orange\nPurple Green Orange Green Orange Green Orange\nPurple Green Orange Green Orange Green Orange\nPurple Green Orange Green Orange Green Orange\nPurple Green Orange Green Orange Green Orange\nPurple Green Orange Green Orange Green Orange\n\n\nExample 3\nInput:\nGray Black Black Blue Black Yellow Black\nBlack Black Black Blue Green Black Black\nBlack Yellow Black Black Yellow Black Black\nBlack Black Yellow Gray Black Black Black\nBlack Black Black Gray Pink Pink Black\nGreen Yellow Black Black Yellow Yellow Black\nPink Gray Gray Black Black Green Black\nBlack Black Pink Black Black Black Black\nGray Black Black Green Green Black Black\nYellow Green Black Pink Black Black Gray\nBlack Black Black Yellow Black Black Black\n\nOutput:\nGray Yellow Yellow Blue Green Yellow Gray\nGray Yellow Yellow Blue Green Yellow Gray\nGray Yellow Yellow Blue Green Yellow Gray\nGray Yellow Yellow Blue Green Yellow Gray\nGray Yellow Yellow Blue Green Yellow Gray\nGray Yellow Yellow Blue Green Yellow Gray\nGray Yellow Yellow Blue Green Yellow Gray\nGray Yellow Yellow Blue Green Yellow Gray\nGray Yellow Yellow Blue Green Yellow Gray\nGray Yellow Yellow Blue Green Yellow Gray\nGray Yellow Yellow Blue Green Yellow Gray\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Red Black Black Black Black Red Blue\nBlack Brown Black Black Black Black Black Black Purple\nBlack Black Black Blue Brown Black Black Black Black\nBlack Black Black Blue Purple Black Black Black Black\nBlack Black Black Blue Black Black Gray Black Black\nBrown Black Black Black Brown Black Red Purple Black\nBlue Blue Black Black Black Gray Red Black Purple\nBlack Black Black Black Black Black Black Black Black\nBlack Brown Black Black Red Blue Black Black Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Brown Red Blue Brown Gray Gray Red Blue\nRed Brown Red Blue Brown Gray Gray Red Blue\nRed Brown Red Blue Brown Gray Gray Red Blue\nRed Brown Red Blue Brown Gray Gray Red Blue\nRed Brown Red Blue Brown Gray Gray Red Blue\nRed Brown Red Blue Brown Gray Gray Red Blue\nRed Brown Red Blue Brown Gray Gray Red Blue\nRed Brown Red Blue Brown Gray Gray Red Blue\nRed Brown Red Blue Brown Gray Gray Red 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 Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Green Green Green Black\nBlack Black Black Green Green Black Green Green Green Black\nBlack Black Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Green Green Black Black Black Green Green Green\nBlack Green Green Green Black Black Black Black Green Green\nBlack Green Green Green 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 Green Green Black\nBlack Black Black Black Black Black Green Green Green Black\nBlack Black Black Green Green Black Green Green Green Black\nBlack Black Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green\nGreen Black Green Green Black Black Black Green Green Green\nBlack Green Green Green Black Black Black Black Green Green\nBlack Green Green Green Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray 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 Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\n\nOutput:\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray 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 Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Gray Black Black Black Black Black Gray Gray Gray\nGray Black Black Black Black Black Black Black Gray Gray\n\n\nExample 3\nInput:\nBlack Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black 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 Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black\n\nOutput:\nBlack Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black 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\nPurple Black Black Black Purple Purple Purple Black Black Black\nBlack Purple Black Black Purple Purple Purple Black Black Black\nBlack Purple Black Black Black Purple Purple Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nPink Pink Pink Black Pink Pink Pink Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink 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 Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nPink Pink Pink Black Pink Pink Pink Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Black\nBlack Pink Black Black Black Black Black Black Black Black\nPink 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\nBlack Yellow Yellow Black\nBlack Yellow Yellow Black\nBlack Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black\nBlack Green Green Black\nBlack Green Green Black\nBlack Black Black Black\n\nOutput:\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black\nBlack Gray Gray Black\nBlack Gray Gray Black\nBlack Black Black Black\n\nOutput:\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Purple Purple Black\nBlack Purple Purple 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```\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Brown Brown Orange Orange Black Blue Blue Green Green Green\nBlack Black Brown Pink Orange Gray Black Blue Blue Green Green Green\nBlack Black Blue Green Yellow Red Black Black Black Blue Blue Black\nBlack Black Purple Green Yellow Yellow Black Black Black Blue Blue Black\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 Red Red Red\nBlack Black Red Red Red Red Black Red Red Red Red Red\nBlack Black Red Red Red Red Black Red Red Red Red Red\nBlack Black Red Green Red Red Black Black Black Red Red Black\nBlack Black Red Green Red Red Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Brown Gray Brown Black Black Black Black Black\nBlue Black Brown Gray Brown Black Black Black Black Black\nBlack Black Brown Green Brown Black Black Black Black Black\nBrown Brown Brown Brown Black Black Orange Red Red Red\nYellow Green Green Yellow Black Black Orange Blue Orange Green\nGray Brown Brown Gray Black Black Blue Pink Purple Green\nOrange Orange Orange Orange Black Black Blue Yellow Yellow Orange\n\nOutput:\nRed Red Red Red Brown Black Black Black Black Black\nRed Red Red Red Brown Black Black Black Black Black\nRed Red Red Red Brown Black Black Black Black Black\nRed Red Red Red Black Black Orange Red Red Red\nRed Green Green Red Black Black Orange Red Red Green\nRed Brown Brown Red Black Black Blue Red Red Green\nOrange Orange Orange Orange Black Black Blue Yellow Yellow Red\n\n\nExample 3\nInput:\nBlack Black Black Black Purple Purple Gray Pink Black Black Black\nBlack Black Black Black Blue Green Gray Pink Black Black Black\nBlack Black Black Black Blue Green Gray Pink Black Black Black\nBlue Black Black Black Purple Purple Gray Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Purple Purple Gray Pink Black Black Black\nBlack Black Black Black Blue Green Gray Pink Black Black Black\nBlack Black Black Black Blue Green Gray Pink Black Black Black\nRed Black Black Black Purple Purple Gray Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Blue Blue 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 Blue\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 Blue Blue Black Black Black\nBlack Black Black Black Blue Blue 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 Red\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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown 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 Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray 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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Pink Pink Yellow Yellow Pink Pink Brown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green Green Green\nOrange Orange Pink Pink Yellow Yellow Pink Pink Brown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green Green Green\nOrange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange Blue Blue Pink Pink Gray Gray Purple Purple Orange Orange Yellow Yellow\nOrange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange Blue Blue Pink Pink Gray Gray Purple Purple Orange Orange Yellow Yellow\nPurple Purple Red Red Orange Orange Orange Orange Green Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green Purple Purple\nPurple Purple Red Red Orange Orange Orange Orange Green Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green Purple Purple\nYellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow Yellow Yellow Green Green Orange Orange Purple Purple Gray Gray\nYellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow Yellow Yellow Green Green Orange Orange Purple Purple Gray Gray\nPink Pink Pink Pink Purple Purple Gray Gray Brown Brown Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow\nPink Pink Pink Pink Purple Purple Gray Gray Brown Brown Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow\nPink Pink Blue Blue Green Green Purple Purple Brown Brown Purple Purple Blue Blue Yellow Yellow Red Red Gray Gray Pink Pink Orange Orange\nPink Pink Blue Blue Green Green Purple Purple Brown Brown Purple Purple Blue Blue Yellow Yellow Red Red Gray Gray Pink Pink Orange Orange\nRed Red Brown Brown Red Red Brown Brown Red Red Purple Purple Purple Purple Orange Orange Pink Pink Red Red Orange Orange Brown Brown\nRed Red Brown Brown Red Red Brown Brown Red Red Purple Purple Purple Purple Orange Orange Pink Pink Red Red Orange Orange Brown Brown\nBlue Blue Brown Brown Gray Gray Pink Pink Blue Blue Blue Blue Yellow Yellow Purple Purple Blue Blue Blue Blue Orange Orange Purple Purple\nBlue Blue Brown Brown Gray Gray Pink Pink Blue Blue Blue Blue Yellow Yellow Purple Purple Blue Blue Blue Blue Orange Orange Purple Purple\n\nOutput:\nBlack Black Orange Orange Pink Pink Yellow Yellow Pink Pink Brown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green\nBlack Black Orange Orange Pink Pink Yellow Yellow Pink Pink Brown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green\nBlack Black Orange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange Blue Blue Pink Pink Gray Gray Purple Purple Orange Orange\nBlack Black Orange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange Blue Blue Pink Pink Gray Gray Purple Purple Orange Orange\nBlack Black Purple Purple Red Red Orange Orange Orange Orange Green Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green\nBlack Black Purple Purple Red Red Orange Orange Orange Orange Green Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green\nBlack Black Yellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow Yellow Yellow Green Green Orange Orange Purple Purple\nBlack Black Yellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow Yellow Yellow Green Green Orange Orange Purple Purple\nBlack Black Pink Pink Pink Pink Purple Purple Gray Gray Brown Brown Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Gray Gray\nBlack Black Pink Pink Pink Pink Purple Purple Gray Gray Brown Brown Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Gray Gray\nBlack Black Pink Pink Blue Blue Green Green Purple Purple Brown Brown Purple Purple Blue Blue Yellow Yellow Red Red Gray Gray Pink Pink\nBlack Black Pink Pink Blue Blue Green Green Purple Purple Brown Brown Purple Purple Blue Blue Yellow Yellow Red Red Gray Gray Pink Pink\nBlack Black Red Red Brown Brown Red Red Brown Brown Red Red Purple Purple Purple Purple Orange Orange Pink Pink Red Red Orange Orange\nBlack Black Red Red Brown Brown Red Red Brown Brown Red Red Purple Purple Purple Purple Orange Orange Pink Pink Red Red Orange Orange\nBlack Black Blue Blue Brown Brown Gray Gray Pink Pink Blue Blue Blue Blue Yellow Yellow Purple Purple Blue Blue Blue Blue Orange Orange\nBlack Black Blue Blue Brown Brown Gray Gray Pink Pink Blue Blue Blue Blue Yellow Yellow Purple Purple Blue Blue Blue Blue Orange Orange\n\n\nExample 2\nInput:\nOrange Orange Yellow Yellow Blue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray Red Red Orange Orange\nOrange Orange Yellow Yellow Blue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray Red Red Orange Orange\nBrown Brown Blue Blue Purple Purple Brown Brown Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown\nBrown Brown Blue Blue Purple Purple Brown Brown Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown\nPink Pink Orange Orange Blue Blue Orange Orange Brown Brown Pink Pink Green Green Green Green Yellow Yellow Yellow Yellow\nPink Pink Orange Orange Blue Blue Orange Orange Brown Brown Pink Pink Green Green Green Green Yellow Yellow Yellow Yellow\nOrange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink Orange Orange Blue Blue Green Green Red Red\nOrange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink Orange Orange Blue Blue Green Green Red Red\nPink Pink Blue Blue Purple Purple Red Red Purple Purple Gray Gray Pink Pink Gray Gray Yellow Yellow Purple Purple\nPink Pink Blue Blue Purple Purple Red Red Purple Purple Gray Gray Pink Pink Gray Gray Yellow Yellow Purple Purple\nPink Pink Orange Orange Red Red Pink Pink Orange Orange Yellow Yellow Brown Brown Gray Gray Gray Gray Orange Orange\nPink Pink Orange Orange Red Red Pink Pink Orange Orange Yellow Yellow Brown Brown Gray Gray Gray Gray Orange Orange\nPink Pink Orange Orange Orange Orange Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Red Red Yellow Yellow\nPink Pink Orange Orange Orange Orange Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Red Red Yellow Yellow\n\nOutput:\nBlack Black Orange Orange Yellow Yellow Blue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray Red Red\nBlack Black Orange Orange Yellow Yellow Blue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray Red Red\nBlack Black Brown Brown Blue Blue Purple Purple Brown Brown Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple\nBlack Black Brown Brown Blue Blue Purple Purple Brown Brown Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple\nBlack Black Pink Pink Orange Orange Blue Blue Orange Orange Brown Brown Pink Pink Green Green Green Green Yellow Yellow\nBlack Black Pink Pink Orange Orange Blue Blue Orange Orange Brown Brown Pink Pink Green Green Green Green Yellow Yellow\nBlack Black Orange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink Orange Orange Blue Blue Green Green\nBlack Black Orange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink Orange Orange Blue Blue Green Green\nBlack Black Pink Pink Blue Blue Purple Purple Red Red Purple Purple Gray Gray Pink Pink Gray Gray Yellow Yellow\nBlack Black Pink Pink Blue Blue Purple Purple Red Red Purple Purple Gray Gray Pink Pink Gray Gray Yellow Yellow\nBlack Black Pink Pink Orange Orange Red Red Pink Pink Orange Orange Yellow Yellow Brown Brown Gray Gray Gray Gray\nBlack Black Pink Pink Orange Orange Red Red Pink Pink Orange Orange Yellow Yellow Brown Brown Gray Gray Gray Gray\nBlack Black Pink Pink Orange Orange Orange Orange Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Red Red\nBlack Black Pink Pink Orange Orange Orange Orange Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Red Red\n\n\nExample 3\nInput:\nGray Gray Brown Brown Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Orange Orange Purple Purple Pink Pink Orange Orange\nGray Gray Brown Brown Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Orange Orange Purple Purple Pink Pink Orange Orange\nGray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green Purple Purple Blue Blue Blue Blue Brown Brown\nGray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green Purple Purple Blue Blue Blue Blue Brown Brown\nGreen Green Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink Purple Purple Orange Orange Gray Gray Pink Pink Purple Purple\nGreen Green Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink Purple Purple Orange Orange Gray Gray Pink Pink Purple Purple\nBrown Brown Yellow Yellow Brown Brown Pink Pink Blue Blue Gray Gray Green Green Gray Gray Blue Blue Blue Blue Purple Purple\nBrown Brown Yellow Yellow Brown Brown Pink Pink Blue Blue Gray Gray Green Green Gray Gray Blue Blue Blue Blue Purple Purple\nOrange Orange Purple Purple Red Red Brown Brown Green Green Blue Blue Green Green Yellow Yellow Green Green Blue Blue Yellow Yellow\nOrange Orange Purple Purple Red Red Brown Brown Green Green Blue Blue Green Green Yellow Yellow Green Green Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Blue Blue Orange Orange Green Green\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Blue Blue Orange Orange Green Green\nGray Gray Blue Blue Green Green Blue Blue Gray Gray Pink Pink Brown Brown Yellow Yellow Pink Pink Pink Pink Purple Purple\nGray Gray Blue Blue Green Green Blue Blue Gray Gray Pink Pink Brown Brown Yellow Yellow Pink Pink Pink Pink Purple Purple\n\nOutput:\nBlack Black Gray Gray Brown Brown Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Orange Orange Purple Purple Pink Pink\nBlack Black Gray Gray Brown Brown Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Orange Orange Purple Purple Pink Pink\nBlack Black Gray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green Purple Purple Blue Blue Blue Blue\nBlack Black Gray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green Purple Purple Blue Blue Blue Blue\nBlack Black Green Green Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink Purple Purple Orange Orange Gray Gray Pink Pink\nBlack Black Green Green Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink Purple Purple Orange Orange Gray Gray Pink Pink\nBlack Black Brown Brown Yellow Yellow Brown Brown Pink Pink Blue Blue Gray Gray Green Green Gray Gray Blue Blue Blue Blue\nBlack Black Brown Brown Yellow Yellow Brown Brown Pink Pink Blue Blue Gray Gray Green Green Gray Gray Blue Blue Blue Blue\nBlack Black Orange Orange Purple Purple Red Red Brown Brown Green Green Blue Blue Green Green Yellow Yellow Green Green Blue Blue\nBlack Black Orange Orange Purple Purple Red Red Brown Brown Green Green Blue Blue Green Green Yellow Yellow Green Green Blue Blue\nBlack Black Yellow Yellow Blue Blue Orange Orange Yellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Blue Blue Orange Orange\nBlack Black Yellow Yellow Blue Blue Orange Orange Yellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Blue Blue Orange Orange\nBlack Black Gray Gray Blue Blue Green Green Blue Blue Gray Gray Pink Pink Brown Brown Yellow Yellow Pink Pink Pink Pink\nBlack Black Gray Gray Blue Blue Green Green Blue Blue Gray Gray Pink Pink Brown Brown Yellow Yellow Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue Pink Pink\nPink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue Pink Pink\nGray Gray Pink Pink Gray Gray Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink\nGray Gray Pink Pink Gray Gray Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink\nPink Pink Purple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray\nPink Pink Purple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray\nBlue Blue Red Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange\nBlue Blue Red Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange\nYellow Yellow Purple Purple Green Green Gray Gray Orange Orange Red Red Pink Pink Green Green Green Green\nYellow Yellow Purple Purple Green Green Gray Gray Orange Orange Red Red Pink Pink Green Green Green Green\nBrown Brown Orange Orange Purple Purple Purple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple\nBrown Brown Orange Orange Purple Purple Purple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple\nPurple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow\nPurple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow\nGray Gray Gray Gray Red Red Purple Purple Blue Blue Red Red Yellow Yellow Orange Orange Blue Blue\nGray Gray Gray Gray Red Red Purple Purple Blue Blue Red Red Yellow Yellow Orange Orange Blue Blue\nGray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Red Red Yellow Yellow\nGray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Red Red Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Pink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue\nBlack Black Pink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue\nBlack Black Gray Gray Pink Pink Gray Gray Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink\nBlack Black Gray Gray Pink Pink Gray Gray Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink\nBlack Black Pink Pink Purple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink\nBlack Black Pink Pink Purple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink\nBlack Black Blue Blue Red Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue\nBlack Black Blue Blue Red Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue\nBlack Black Yellow Yellow Purple Purple Green Green Gray Gray Orange Orange Red Red Pink Pink Green Green\nBlack Black Yellow Yellow Purple Purple Green Green Gray Gray Orange Orange Red Red Pink Pink Green Green\nBlack Black Brown Brown Orange Orange Purple Purple Purple Purple Yellow Yellow Blue Blue Green Green Red Red\nBlack Black Brown Brown Orange Orange Purple Purple Purple Purple Yellow Yellow Blue Blue Green Green Red Red\nBlack Black Purple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Blue Blue\nBlack Black Purple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Blue Blue\nBlack Black Gray Gray Gray Gray Red Red Purple Purple Blue Blue Red Red Yellow Yellow Orange Orange\nBlack Black Gray Gray Gray Gray Red Red Purple Purple Blue Blue Red Red Yellow Yellow Orange Orange\nBlack Black Gray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Red Red\nBlack Black Gray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Black Black Brown Brown Gray Gray Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Black Black Brown Brown Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Blue Blue Black Black\nBlack Black Black Black Black Black Green Green Brown Brown Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Green Green Brown Brown Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\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 Black Black Black Black\n\nOutput:\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Red Red Black Black Green Green Purple Purple Black Black Black Black\nBlack Black Black Black Red Red Black Black Red Red Black Black Green Green Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Orange Orange Black Black\nBlack Black Black Black Black Black Brown Brown Green Green Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Green Green Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\n\n\nExample 2\nInput:\nPurple Purple Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Orange Orange Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Orange Orange Black Black Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nGreen Green Pink Pink Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown\nGreen Green Pink Pink Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Brown Brown Black Black Black Black Black Black\n\nOutput:\nGray Gray Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Gray Gray Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBrown Brown Yellow Yellow Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Green Green\nBrown Brown Yellow Yellow Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Green Green Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Brown Brown Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Blue Blue\nBlack Black Black Black Gray Gray Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Green Green Black Black\n\nOutput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Red Red\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Red Red\nBlack Black Black Black Black Black Pink Pink Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Green Green Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Orange Orange\nBlack Black Black Black Purple Purple Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Brown Brown Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Brown Brown\nPink Pink Black Black Black Black Blue Blue Black Black Black Black Pink Pink Black Black Black Black Black Black\nPink Pink Black Black Black Black Blue Blue Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Pink Pink Purple Purple Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Pink Pink Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Gray Gray 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Green Green\nYellow Yellow Black Black Black Black Orange Orange Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Orange Orange Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Purple Purple Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Pink Pink 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 Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Green Red Black Green\nBlack Brown Brown Brown Brown Brown Black Black Black Black Black Green Red Red Green\nBlack Brown Black Orange Orange Brown Black Black Black Black Black Green Red Red Green\nBlack Brown Orange Orange Black Brown Black Black Black Black Black Green Red Black Green\nBlack Brown Brown Brown Brown Brown Purple Purple Purple Purple Black Green Green Green Green\nBlack Black Black Black Black Black Purple Brown Brown Purple Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Purple Brown Brown Purple Black Black Black Black Black\nBlack Gray Brown Brown Gray Black Purple Brown Brown Purple Black Black Black Black Black\nBlack Gray Brown Brown Gray Black Purple Brown Brown Purple Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Purple Purple Purple Purple 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 Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black Green\nBlack Purple Purple Purple Purple Purple Black Black Black Black Black Green Green Green Green\nBlack Purple Black Purple Purple Purple Black Black Black Black Black Green Green Green Green\nBlack Purple Purple Purple Black Purple Black Black Black Black Black Green Green Black Green\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Green Green Green Green\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Gray Black Black Gray Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Gray Gray Gray Gray Pink Green Green Green Black Black Black Black Black Black\nBlack Pink Gray Black Green Gray Pink Red Red Green Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Red Red Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Green Green Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Black Pink Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Pink Pink Brown Black Black Black Black Black Black\nBlack Black Green Green Brown Pink Black Brown Black Black Black Black Black Black\nBlack Black Green Gray Brown Brown Brown Brown Blue Blue Black Black Black Black\nBlack Black Green Gray Blue Green Brown Brown Brown Blue Black Black Black Black\nBlack Black Green Gray Blue Brown Brown Black Black Blue Black Black Black Black\nBlack Black Green Green Blue Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Black Gray Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Gray Gray Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Gray Gray Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Black Gray Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Yellow Black Yellow Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Yellow Yellow Yellow Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Yellow Yellow Yellow Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Yellow Black Yellow Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 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 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 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 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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown 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 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 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 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 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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 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 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 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 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 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black 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 Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Orange Orange Orange 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\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\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\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\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Green Green Green Green Green Green 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 Black 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 Black 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 Black 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 Black 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 Black 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 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 Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 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 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\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\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\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\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray 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\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\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\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\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\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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Orange Orange Orange Orange Purple Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Purple Black Black Black Black Black\nBlack Black Blue Blue Orange Orange Orange Black Black Black Black Black Black\nBlack Black Blue Blue Orange Orange Orange Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Brown Brown Brown\nBlack Black Blue Blue Black Black Black Black Black Black Brown Brown Brown\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Pink Pink Gray Pink Black Black Black Black\nBlack Black Black Orange Pink Pink Gray Pink Black Black Black Black\nBlack Black Black Orange Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Orange Orange Orange\nBlack Black Black Black Pink Pink Black Black Black Orange Orange Orange\nBlack Black Black Black Blue Blue Blue Blue Black Orange Orange Orange\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Gray Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Gray Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Blue Gray Brown Brown Black Black Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Brown Brown Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Black Yellow Yellow Yellow\nOrange Orange Orange Black Yellow Yellow Yellow\nOrange Orange Orange Black Yellow Yellow Yellow\nOrange Orange Orange Black Yellow Yellow Yellow\nOrange Orange Orange Gray Yellow Yellow Yellow\nOrange Orange Orange Black Yellow Yellow Yellow\nOrange Orange Orange Black Yellow Yellow Yellow\nOrange Orange Orange Black Yellow Yellow Yellow\nOrange Orange Orange Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nGreen Green Green Green Black Yellow Yellow Yellow Yellow\nGreen Green Green Green Black Yellow Yellow Yellow Yellow\nGreen Green Green Green Black Yellow Yellow Yellow Yellow\nGreen Green Green Green Gray Yellow Yellow Yellow Yellow\nGreen Green Green Green Black Yellow Yellow Yellow Yellow\nGreen Green Green Green Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Black Yellow Yellow Yellow\nBlue Blue Blue Blue Black Yellow Yellow Yellow\nBlue Blue Blue Blue Black Yellow Yellow Yellow\nBlue Blue Blue Blue Gray Yellow Yellow Yellow\nBlue Blue Blue Blue Black Yellow Yellow Yellow\nBlue Blue Blue Blue Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Gray Orange Orange Orange\nOrange Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Black Orange Orange Orange\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```\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Green Red Black Black Black Black Black\nBlack Black Red Yellow Yellow Green Black Black Black Black\nYellow Black Green Yellow Yellow Red Black Black Black Black\nYellow Black Black Red Green Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Black\nGreen Yellow Black Yellow Green Black Black Black Black Black\nGreen Blue Green Blue Green Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Black Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Black Black Yellow Yellow Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nYellow Yellow Black Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Black Black Black Black Black Black Black Black Blue\nYellow Black Black Black Black Black Black Black Black Blue\nRed Black Black Black Black Black Black Black Black Blue\nBlack Black Black Green Green Yellow Red Black Black Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Black Blue Blue Black Black\nBlack Yellow Yellow Yellow Yellow Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Blue Yellow Yellow Blue Black Black\nBlack Black Red Black Blue Blue Blue Blue Black Black\nBlack Black Red Black Black Blue Blue Black Black Yellow\nBlack Black Yellow Black Black Black Black Black Black Yellow\nBlack Black Red Black Black Black Blue Green Black Yellow\nBlack Black Red Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Green Black Black\nRed Red Red Yellow Yellow Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Blue Yellow Yellow Blue Black Black\nBlack Black Yellow Black Blue Blue Blue Blue Black Black\nBlack Black Yellow Black Black Blue Blue Black Black Yellow\nBlack Black Yellow Black Black Black Black Black Black Yellow\nBlack Black Yellow Black Black Black Yellow Yellow Black Yellow\nBlack Black Yellow Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Blue Black\nGreen Green Black Black Black Black Black Black Blue Black\nGreen Green Black Red Red Black Black Black Black Black\nRed Black Red Yellow Yellow Black Black Black Black Black\nRed Blue Blue Green Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Red 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 Blue Yellow Yellow 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```\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Black\nYellow Yellow Black Black Black Black Black Black Yellow Black\nYellow Yellow Black Yellow Yellow Black Black Black Black Black\nYellow Black Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Purple Purple Purple Purple Purple\nBlack Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Yellow Yellow Yellow 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\nBlack 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\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Green Black Black Black Black Brown Brown Brown Brown Brown\nBlack 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 Brown 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 Yellow Yellow Yellow Black Black Black Black\nBlack 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 Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray 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 Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black 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 Gray 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 Red 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 Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Brown Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Green Brown Brown Black Black Black Black Black Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Brown Brown Green Green Pink Black Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Yellow\nBlack Black Black Black Black Brown Brown Blue Blue Pink Black Yellow Yellow Yellow Yellow Yellow Purple Purple Blue Blue Blue Yellow\nBlack Black Black Black Black Black Green Green Pink Pink Black Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Blue Blue Yellow\nBlack Black Black Black Black Black Orange Pink Pink Blue Green Yellow Yellow Yellow Yellow Yellow Yellow Orange Blue Blue Blue Purple\nBlack Black Black Black Black Gray Orange Pink Black Green Green Yellow Yellow Yellow Yellow Yellow Purple Orange Blue Yellow Purple Purple\nBlack Black Black Black Black Black Gray Gray Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Blue Blue Blue\n\nOutput:\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\nOrange Orange Orange Green Brown Brown Black Black Black Black Black Orange Orange Orange Green Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Green Green Pink Black Black Black Black Black Black Brown Brown Green Green Pink Black\nBlack Black Black Black Black Brown Brown Blue Blue Pink Black Black Black Black Black Black Brown Brown Blue Blue Pink Black\nBlack Black Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Green Green Pink Pink Black\nBlack Black Black Black Black Black Orange Pink Pink Blue Green Black Black Black Black Black Black Orange Pink Pink Blue Green\nBlack Black Black Black Black Gray Orange Pink Black Green Green Black Black Black Black Black Gray Orange Pink Black Green Green\nBlack Black Black Black Black Black Gray Gray Pink Pink Pink Black Black Black Black Black Black Gray Gray Pink Pink Pink\n\n\nExample 2\nInput:\nGray Orange Orange Orange Orange Red Blue Blue Orange Yellow Yellow Yellow Purple Purple Purple Purple Blue Green Green Purple Yellow Yellow\nGray Gray Black Pink Orange Blue Brown Yellow Orange Gray Yellow Yellow Yellow Purple Green Purple Green Blue Yellow Purple Yellow Yellow\nGray Gray Black Black Black Blue Brown Brown Green Green Brown Yellow Yellow Purple Purple Purple Green Blue Blue Red Red Blue\nGray Black Black Black Black Red Gray Black Orange Black Yellow Yellow Purple Purple Purple Purple Blue Yellow Purple Purple Purple Yellow\nGray Gray Black Black Black Blue Brown Brown Green Green Brown Yellow Yellow Purple Purple Purple Green Blue Blue Red Red Blue\nGray Gray Black Pink Orange Blue Brown Yellow Orange Gray Yellow Yellow Yellow Purple Green Purple Green Blue Yellow Purple Yellow Yellow\nGray Orange Orange Orange Orange Red Blue Blue Orange Yellow Yellow Yellow Purple Purple Purple Purple Blue Green Green Purple Yellow Yellow\n\nOutput:\nGray Orange Orange Orange Orange Red Blue Blue Orange Yellow Yellow Gray Orange Orange Orange Orange Red Blue Blue Orange Yellow Yellow\nGray Gray Black Pink Orange Blue Brown Yellow Orange Gray Yellow Gray Gray Black Pink Orange Blue Brown Yellow Orange Gray Yellow\nGray Gray Black Black Black Blue Brown Brown Green Green Brown Gray Gray Black Black Black Blue Brown Brown Green Green Brown\nGray Black Black Black Black Red Gray Black Orange Black Yellow Gray Black Black Black Black Red Gray Black Orange Black Yellow\nGray Gray Black Black Black Blue Brown Brown Green Green Brown Gray Gray Black Black Black Blue Brown Brown Green Green Brown\nGray Gray Black Pink Orange Blue Brown Yellow Orange Gray Yellow Gray Gray Black Pink Orange Blue Brown Yellow Orange Gray Yellow\nGray Orange Orange Orange Orange Red Blue Blue Orange Yellow Yellow Gray Orange Orange Orange Orange Red Blue Blue Orange Yellow Yellow\n\n\nExample 3\nInput:\nPurple Gray Yellow Gray Black Black Gray Yellow Gray Purple Purple Blue Pink Blue Pink Pink Blue Pink Blue Purple\nGray Gray Gray Gray Pink Pink Gray Gray Gray Gray Blue Blue Blue Blue Red Red Blue Blue Blue Blue\nGray Gray Red Blue Gray Gray Blue Red Gray Gray Blue Blue Green Blue Blue Blue Blue Green Blue Blue\nBlue Brown Red Red Red Red Red Red Brown Blue Blue Blue Green Green Green Green Green Green Blue Blue\nBlue Pink Pink Brown Purple Purple Brown Pink Pink Blue Blue Red Red Blue Purple Purple Blue Red Red Blue\nOrange Orange Brown Brown Purple Purple Brown Brown Orange Orange Pink Pink Blue Blue Purple Purple Blue Blue Pink Pink\nOrange Orange Purple Brown Orange Orange Brown Purple Orange Orange Pink Pink Purple Blue Pink Pink Blue Purple Pink Pink\n\nOutput:\nPurple Gray Yellow Gray Black Black Gray Yellow Gray Purple Purple Gray Yellow Gray Black Black Gray Yellow Gray Purple\nGray Gray Gray Gray Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray\nGray Gray Red Blue Gray Gray Blue Red Gray Gray Gray Gray Red Blue Gray Gray Blue Red Gray Gray\nBlue Brown Red Red Red Red Red Red Brown Blue Blue Brown Red Red Red Red Red Red Brown Blue\nBlue Pink Pink Brown Purple Purple Brown Pink Pink Blue Blue Pink Pink Brown Purple Purple Brown Pink Pink Blue\nOrange Orange Brown Brown Purple Purple Brown Brown Orange Orange Orange Orange Brown Brown Purple Purple Brown Brown Orange Orange\nOrange Orange Purple Brown Orange Orange Brown Purple Orange Orange Orange Orange Purple Brown Orange Orange Brown Purple Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Brown Brown Orange Blue Blue Blue Blue Blue Blue Blue Green Green Blue\nBlack Black Black Black Black Black Black Purple Pink Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Yellow Black Black Black Black Black Orange Orange Brown Green Green Blue Blue Blue Blue Blue Blue Blue Green\nGray Orange Orange Black Black Black Orange Green Yellow Green Green Blue Blue Blue Blue Blue Blue Red Green Red\nRed Gray Purple Orange Orange Black Green Green Purple Yellow Green Green Blue Blue Blue Blue Red Red Blue Green\nPink Pink Purple Black Brown Brown Yellow Yellow Yellow Purple Blue Blue Blue Blue Green Green Green Green Green Blue\nPink Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Blue Green Green Green Green Green Green\nPurple Pink Pink Pink Black Purple Purple Green Green Pink Blue Blue Blue Blue Blue Blue Blue Red Red Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Brown Brown Orange Black Black Black Black Black Black Black Brown Brown Orange\nBlack Black Black Black Black Black Black Purple Pink Orange Black Black Black Black Black Black Black Purple Pink Orange\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink\nBrown Yellow Black Black Black Black Black Orange Orange Brown Brown Yellow Black Black Black Black Black Orange Orange Brown\nGray Orange Orange Black Black Black Orange Green Yellow Green Gray Orange Orange Black Black Black Orange Green Yellow Green\nRed Gray Purple Orange Orange Black Green Green Purple Yellow Red Gray Purple Orange Orange Black Green Green Purple Yellow\nPink Pink Purple Black Brown Brown Yellow Yellow Yellow Purple Pink Pink Purple Black Brown Brown Yellow Yellow Yellow Purple\nPink Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow\nPurple Pink Pink Pink Black Purple Purple Green Green Pink Purple Pink Pink Pink Black Purple Purple Green Green Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlue 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 Yellow\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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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\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 Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black\nBlack Black Black Green Black Black Black\nBlack Black Black Green Black Green Black\nBlack Black Black Green Green Green Black\nBlack Black Blue Purple Black Black Black\nPurple Blue Blue Black Black Black Black\nPurple Red Blue Black Blue Blue Blue\nBlack Black Blue Orange Brown Blue Black\nBlack Black Pink Orange Blue Blue 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Black Black Black\nBlack Black Black Green Black Black Black\nBlack Black Black Green Black Green Black\nBlack Black Black Green Green Green Black\nBlack Black Blue Purple Black Black Black\nPurple Blue Blue Black Black Black Black\nPurple Red Blue Black Blue Blue Blue\nBlack Black Blue Orange Brown Blue Black\nBlack Black Pink Orange Blue Blue Black\nBlack Black Pink Orange Blue Blue Black\nBlack Black Blue Orange Brown Blue Black\nPurple Red Blue Black Blue Blue Blue\nPurple Blue Blue Black Black Black Black\nBlack Black Blue Purple Black Black Black\nBlack Black Black Green Green Green Black\nBlack Black Black Green Black Green Black\nBlack Black Black Green Black Black Black\nBlack Black Black Yellow Black Black Black\n\n\nExample 2\nInput:\nBlack Black Brown Black Orange Yellow Yellow Purple Gray\nPurple Yellow Yellow Purple Purple Purple Orange Purple Purple\nBlack Black Green Green Green Green Green Purple Green\nBlack Black Black Red Gray Green Green Green Green\nBlack Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Brown Black Orange Yellow Yellow Purple Gray\nPurple Yellow Yellow Purple Purple Purple Orange Purple Purple\nBlack Black Green Green Green Green Green Purple Green\nBlack Black Black Red Gray Green Green Green Green\nBlack Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Brown Black Black\nBlack Black Black Red Gray Green Green Green Green\nBlack Black Green Green Green Green Green Purple Green\nPurple Yellow Yellow Purple Purple Purple Orange Purple Purple\nBlack Black Brown Black Orange Yellow Yellow Purple Gray\n\n\nExample 3\nInput:\nGreen Brown Brown Yellow Yellow Black Black Black\nPurple Yellow Yellow Yellow Yellow Gray Black Black\nPurple Purple Green Brown Yellow Gray Purple Purple\nBlack Black Green Gray Purple Black Black Black\nBlack Black Blue Black Black Black Black Black\nBlack Black Gray 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:\nGreen Brown Brown Yellow Yellow Black Black Black\nPurple Yellow Yellow Yellow Yellow Gray Black Black\nPurple Purple Green Brown Yellow Gray Purple Purple\nBlack Black Green Gray Purple Black Black Black\nBlack Black Blue Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black\nBlack Black Green Gray Purple Black Black Black\nPurple Purple Green Brown Yellow Gray Purple Purple\nPurple Yellow Yellow Yellow Yellow Gray Black Black\nGreen Brown Brown Yellow Yellow Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black Black\nGreen Red Red Purple Brown Black Black Black\nYellow Brown Brown Brown Yellow Yellow Black Black\nYellow Green Brown Brown Brown Yellow Green Purple\nYellow Green Orange Gray Pink Pink Pink Black\nYellow Brown Brown Green Pink Red Pink Black\nBlue Pink Pink Green Red Red Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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```\nBlack Black Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black Black\nGreen Red Red Purple Brown Black Black Black\nYellow Brown Brown Brown Yellow Yellow Black Black\nYellow Green Brown Brown Brown Yellow Green Purple\nYellow Green Orange Gray Pink Pink Pink Black\nYellow Brown Brown Green Pink Red Pink Black\nBlue Pink Pink Green Red Red Black Black\nBlue Pink Pink Green Red Red Black Black\nYellow Brown Brown Green Pink Red Pink Black\nYellow Green Orange Gray Pink Pink Pink Black\nYellow Green Brown Brown Brown Yellow Green Purple\nYellow Brown Brown Brown Yellow Yellow Black Black\nGreen Red Red Purple Brown Black Black Black\nBlack Black Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack 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\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Green Yellow Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Purple Black Black Purple Black\nBlack Purple Black Black Purple Black\nBlack Purple Black Black Purple Black\nBlack Purple Black Purple Purple Black\nBlack Purple Black Purple Purple Black\nBlack Purple Purple Purple Purple Black\nBlack Purple Black Purple Black Black\nBlack Purple Black Purple Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Purple Black Black Purple Black\nBlack Purple Black Black Purple Black\nBlack Purple Black Black Purple Black\nBlack Purple Black Purple Purple Black\nBlack Purple Black Purple Purple Black\nBlack Purple Purple Green Purple Black\nBlack Purple Black Purple Black Black\nBlack Purple Black Purple Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Black Black Blue Black\nBlack Black Black Black Black Black Blue Black Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Black Blue Blue Black\nBlack Blue Black Black Black Black Blue Blue Blue Blue Black\nBlack Blue Black Black Black Black Black Black Black Blue 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 Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Black Black Blue Black\nBlack Black Black Black Black Black Blue Black Blue Blue Black\nBlack Black Blue Blue Blue Blue Green Blue Green Blue Black\nBlack Blue Blue Blue Blue Blue Blue Black Blue Blue Black\nBlack Blue Black Black Black Black Blue Blue Blue Blue Black\nBlack Blue Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Brown Brown Black\nBlack Black Brown Brown Brown Brown Black Brown Brown Black\nBlack Black Brown Black Brown Black Black Brown Brown Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Black Brown Black Black Brown Black Black\nBlack Black Brown Black Black Black Black Brown Black Black\nBlack Black Brown Black Black Black Black Brown Black Black\nBlack Black Brown Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Brown Brown Black Brown Brown Black\nBlack Black Brown Brown Green Brown Black Brown Brown Black\nBlack Black Brown Black Brown Black Black Brown Brown Black\nBlack Black Brown Brown Green Brown Brown Brown Black Black\nBlack Black Brown Black Brown Black Black Brown Black Black\nBlack Black Brown Black Black Black Black Brown Black Black\nBlack Black Brown Black Black Black Black Brown Black Black\nBlack Black Brown Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Black Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Black Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Green Green Black Black Black Black Black Black\nOrange Orange 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\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 Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Green Green Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Green Green Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black 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 Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black\nOrange Orange 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Red Red Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Red Red Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Red Red Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Orange Orange Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Orange Orange Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Brown Brown 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 Red Red\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Red Red\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Red Red\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Red Red\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Yellow Yellow Gray Gray Gray Gray Orange Orange Gray Gray\nBlack Black Brown Brown Black Black Black Black Black Black Yellow Yellow Gray Gray Gray Gray Orange Orange Gray Gray\nBlack Black Brown Brown Black Black Black Black Black Black Yellow Yellow Gray Gray Gray Gray Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Yellow Yellow Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green 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 Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Purple Purple Black Black Black Black Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Pink Pink Purple Purple Black Black Black Black Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nOrange Orange Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Purple Purple Black Black Black Black Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Pink Pink Purple Purple Black Black Black Black Yellow Yellow Green Green\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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Green Green\nBlack Black Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Red Red Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Brown Brown Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Red Red Black Black Brown Brown Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Yellow Yellow Green Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Yellow Yellow Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Green Green Black Black Blue Blue Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Green Green Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Yellow Yellow Green Green Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Yellow Yellow Green Green 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\nRed Red Black Black Black Black Black Black Green Green Green Green Blue Blue Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Green Green Green Green Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown 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\nBrown 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\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBrown 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\nBrown 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\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Red Red Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Pink Pink Purple Purple Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Pink Pink Purple Purple Black Black Black Black Black Black Black Black\nRed Red Black Black Pink Pink Black Black Purple Purple Black Black Black Black Black Black Black Black\nRed Red Black Black Pink Pink Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nRed Red Black Black Pink Pink Black Black Purple Purple Black Black Black Black Black Black Black Black\nRed Red Black Black Pink Pink Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Purple Pink Brown Green Orange Orange Gray\nOrange Black Gray Black Purple Orange Black Blue\nGreen Black Purple Brown Black Orange Black Black\nYellow Green Purple Black Black Brown Blue Purple\nPink Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Black Orange Red Orange Blue\nGray Blue Black Purple Orange Purple Green Brown\nRed Green Black Pink Red Orange Green Brown\n\nOutput:\nBrown Green Orange Red Pink Black Green Red\nGray Orange Orange Green Brown Pink Purple Brown\nBlue Black Orange Purple Black Gray Black Orange\nBlack Black Orange Black Brown Purple Black Green\nPurple Blue Brown Black Black Purple Green Yellow\nPink Pink Pink Pink Pink Pink Pink Pink\nBlue Orange Red Orange Black Red Red Red\nBrown Green Purple Orange Purple Black Blue Gray\n\n\nExample 2\nInput:\nBlack Green Gray Orange Blue Brown Black\nBlack Purple Pink Orange Green Black Yellow\nYellow Blue Black Orange Green Blue Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Purple Purple Red Gray Purple\nGreen Brown Blue Pink Pink Purple Gray\nBlue Brown Green Black Black Green Orange\n\nOutput:\nOrange Green Black Black Green Brown Blue\nBlack Brown Blue Orange Gray Green Black\nYellow Black Green Orange Pink Purple Black\nPurple Blue Green Orange Black Blue Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Gray Red Purple Purple Orange Orange\nGray Purple Pink Pink Blue Brown Green\n\n\nExample 3\nInput:\nBlack Red Green Purple Orange Blue Black Green Black\nBlue Black Orange Red Purple Black Orange Gray Pink\nBlack Brown Black Blue Green Blue Purple Orange Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Blue Black Blue Pink Pink Pink Red Blue\nBlack Purple Pink Yellow Brown Black Blue Black Black\nPurple Blue Gray Brown Black Purple Yellow Orange Purple\n\nOutput:\nPurple Orange Yellow Purple Black Brown Gray Blue Purple\nBlack Green Black Blue Orange Purple Green Red Black\nPink Gray Orange Black Purple Red Orange Black Blue\nBrown Orange Purple Blue Green Blue Black Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Red Pink Pink Pink Blue Black Blue Black\nBlack Black Blue Black Brown Yellow Pink Purple Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Brown Brown Black Pink Black Brown Black Pink\nBlack Yellow Orange Gray Pink Brown Black Blue Purple\nGray Pink Green Orange Yellow Red Black Orange Yellow\nBlue Gray Black Purple Black Black Black Black Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Yellow Gray Gray Pink Brown Pink Red Pink\nRed Orange Pink Black Blue Gray Purple Brown Gray\nBlack Green Black Black Yellow Gray Red Black Black\nGray Black Black Brown Brown Black Blue Black Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Black Blue Black Brown Brown Black Black Gray\nPink Black Brown Black Pink Black Brown Brown Gray\nPurple Blue Black Brown Pink Gray Orange Yellow Black\nYellow Orange Black Red Yellow Orange Green Pink Gray\nPurple Black Black Black Black Purple Black Gray Blue\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Red Pink Brown Pink Gray Gray Yellow Brown\nGray Brown Purple Gray Blue Black Pink Orange Red\nBlack Black Red Gray Yellow Black Black Green 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 Orange Orange 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Purple Purple 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Brown Brown Purple Purple Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Brown Brown Purple Purple Black Black\nGreen Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow 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 Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Brown Brown Purple Purple Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Brown Brown Purple Purple Black Black\nGreen Green Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Black Black Purple Purple Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black\nYellow Yellow Yellow Yellow Black Black Purple Purple Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Black Black Purple Purple Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black\nYellow Yellow Yellow Yellow Black Black Purple Purple Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlue Blue Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Gray Gray\nBlack Black Black Black Gray Gray Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Green Green Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Orange Orange Black Black Green Green 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 Brown Brown Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Green Green Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Orange Orange Black Black Green Green 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 Brown Brown Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown 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 Red Red Red Red 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 Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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\nPink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Black Black Pink Black Black Black Black Black Black\nPurple Black Black Pink Black Black Black Black Black Black\nPurple Black Black Pink Black Black Black Black Black Black\nPurple Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Black Black Pink Orange Orange Orange Orange Orange Orange\nPurple Black Black Pink Orange Black Black Black Black Black\nPurple Black Black Pink Orange Black Black Black Black Black\nPurple Black Black Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Black Black Black Orange Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Yellow Green Green Green Green Green Gray\nBlack Black Black Yellow Black Black Black Black Green Gray\nBlack Black Black Yellow Black Black Black Black Green Gray\nBlack Black Black Yellow Black Black Black Black Green Gray\nBlack Black Black Yellow Black Black Black Black Green Gray\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Green 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 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 Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\n\nOutput:\nBlack Black Black Black Black Brown Black Blue Black Black\nBlack Black Black Black Black Brown Black Blue Black Black\nBlack Black Black Black Black Brown Black Blue Black Black\nRed Red Red Red Red Brown Red Blue Black Black\nBlack Black Black Black Black Brown Red Blue Black Black\nBlack Black Black Black Black Brown Red Blue Black Black\nBrown Brown Brown Brown Brown Brown Red Blue Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Brown Pink Brown Brown Brown Brown\nBlack Black Black Black Brown Pink Black Black Black Black\nBlack Blue Blue Blue Blue Pink Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Blue Black Black Brown Black Black Black Black Black\nBlack Blue Black Black Brown Black Black Black Black Black\nBlack Blue Black Black Brown Black Black Black Black Black\nBlack Blue Black Black Brown 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 Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue 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\n\nOutput:\nBlue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Black\nBlack Black Blue Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Blue Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black\n\nOutput:\nBlack Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Black Black Blue Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black 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\nBlack Black Black Black Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\nBlue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black 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\nBlack Black Black Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Black Black\nBlack Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Pink Pink Black Black Black\nBlack Black Black Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Black Black\nBlack Black Black Pink Pink Black Black Black\nBlack Black Black Pink Pink Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Black\nBlack Yellow Yellow Black Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Black Yellow Black Black\nBlack Black Yellow Black Yellow Black Black\nYellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Black Pink Pink Pink Black\nBlack Pink Black Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Black Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Pink Pink Pink Pink\nPink Pink Black Pink Pink Pink Pink Black Black\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 Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Black Black Purple Black\nBlack Black Purple Purple Black\nBlack Purple Purple Purple Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Purple Black\nBlack Black Black Purple Purple\nBlack Black Purple Purple Purple\nPurple Purple Purple Purple Purple\nBlack Purple Purple Purple Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple 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\nBlack Black Black Black Brown Black Gray Brown Gray Black Black Black Black\nBlue Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Purple Black Gray Black Black Black Black Black Black Black Black\nBlack Purple Black Brown Black Black Yellow Gray Blue Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Black Black Black Black Brown Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black\nPurple Black Blue Black Black Gray Blue Black Black Black Blue Black Black\nBlack Black Black Black Black Black Brown Black Black Gray Black Black Black\nBlack Black Brown Purple Black Black Black Black Black Black Brown Black Black\nBlack Black Brown Yellow Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Brown Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Brown Purple Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black\nPurple Black Blue Black Black Black Blue Black Black Black Blue Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Purple Black Brown Black Black Yellow Black Blue Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Brown Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Yellow Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGreen Orange Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Gray Pink Green Pink Black Purple Black Black Black\nBlack Purple Black Black Black Black Green Black Black Black Green Black\nBlack Black Black Black Black Purple Black Black Black Black Black Pink\nBlack Black Black Orange Black Black Pink Gray Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Purple Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Green Gray Green Orange Orange Black Black Black Black Black\nBlack Pink Black Black Black Black Pink Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Pink Black Black Black Black Purple\nBlack Black Gray Green Black Black Black Black Pink Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Pink Black Black Black\nBlack Black Black Black Orange Black Pink Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Pink Black Black Black Black Pink Black Black Black Black Black\nBlack Black Green Black Green Orange Orange Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Orange Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Pink\nBlack Purple Black Black Black Black Green Black Black Black Green Black\nBlack Black Black Black Pink Green Pink Black Purple Black Black Black\n\n\nExample 3\nInput:\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Green Black Black Pink\nGray Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Blue Black Pink Black Green Gray Black Black Black\nYellow Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Green Blue Black Black Green Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Blue Black Pink Black Pink\nBlack Gray Black Black Black Black Black Green Black Black Black Black Black Blue\nYellow Pink Black Black Black Black Pink Black Black Blue Black Black Black Gray\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Blue\nGreen Black Black Black Black Black Blue Black Gray Black Black Black Black Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Blue Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Blue\nYellow Pink Black Black Black Black Pink Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue Black Pink Black Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Green Blue Black Black Green Black Black Black Black Black Black Black\nYellow Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Pink Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Green Black Black Pink\n\n\nHere is the input grid for the test example:\nInput:\nBrown Black Brown Black Black Black Black Purple Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Blue Black Black Red Black Black Black Black\nBlack Black Black Black Blue Black Black Blue Red Black Black Black Black Black\nBlack Black Black Black Blue Black Purple Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Gray\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Purple Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Black Black Brown Black Black Black Blue Blue Red Black Black Black Red\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Purple Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Brown\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Gray Black Brown Black Black Red Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Brown Black Black Red Blue Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Brown\nBlack Purple Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Brown Black Black Black Blue Blue Red Black Black Black Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Red 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\nBlack Black Black Black Blue Black Purple Black Black Black Black Black Black Blue\nBlack Black Black Black Blue Black Black Blue Red Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Red Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black\n\nOutput:\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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Blue Black\nBlack Blue Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Green Black Black\nGreen Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack 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 Green Black Black Black\nBlack Black Black Black Black Black Black 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\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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green 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 Red Red Red Red Blue Blue Blue Blue Black Black\nBlack Black Red Red Red Red Blue Blue Blue Blue Black Black\nBlack Black Red Red Red Red Blue Blue Blue Blue Black Black\nBlack Black Red Red Red Red Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black\nBrown Brown Brown Brown Black Black Pink Pink Pink Pink Black Black\nBrown Brown Brown Brown Black Black Pink Pink Pink Pink Black Black\nBrown Brown Brown Brown Purple Purple Purple Purple Blue Blue Blue Blue\nBrown Brown Brown Brown Purple Purple Purple Purple Blue Blue Blue Blue\nBlack Black Black Black Purple Purple Purple Purple Blue Blue Blue Blue\nBlack Black Black Black Purple Purple Purple Purple Blue Blue Blue Blue\n\nOutput:\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 Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black\nBrown Brown Purple Purple Blue Blue Black Black\nBrown Brown Purple Purple Blue Blue Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black\nPink Pink Pink Pink Green Green Green Green Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Green Green Green Green Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Pink Pink Pink Pink Black Black Black Black\nGray Gray Gray Gray Pink Pink Pink Pink Black Black Black Black\nGray Gray Gray Gray Pink Pink Pink Pink Black Black Black Black\nGray Gray Gray Gray Pink Pink Pink Pink Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black\nPink Pink Black Black Yellow Yellow Black Black\nPink Pink Black Black Yellow Yellow Black Black\nGray Gray Pink Pink Black Black Black Black\nGray Gray Pink Pink Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple\nBlack Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black\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 Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black\n\nOutput:\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\nGray Gray Yellow Yellow Purple Purple Black Black\nGray Gray Yellow Yellow Purple Purple Black Black\nBlack Black Orange Orange Black Black Black Black\nBlack Black Orange Orange Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Brown Brown Brown Brown Purple Purple Purple Purple\nPink Pink Pink Pink Brown Brown Brown Brown Purple Purple Purple Purple\nBlack Black Black Black Brown Brown Brown Brown Purple Purple Purple Purple\nBlack Black Black Black Brown Brown Brown Brown Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black\nBlack Black Brown Brown Purple Purple Black Black\nBlack Black Brown Brown Purple Purple Black Black\nBlack Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Gray Black Black Pink Black Black Green Black Black\nBlack Black Pink Black Black Black Orange Black Black Black\nBlue Pink Black Black Black Purple Yellow Orange Yellow Red\nBlack Black Orange Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Green\nBlack Brown Black Orange Black Black Red Black Black Black\nBlack Black Black Black Gray Yellow Green Black Black Red\nBlack Black Black Black Yellow Black Black Black Red Black\nBlack Purple Black Gray Black Black Gray Black Black Black\nBlack Black Black Black Black Green Gray Black Black Red\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\nGreen Green Green Black Black Black Black Black Black Black\nGreen Brown Green Black Black Black Black Black Black Black\nGreen Green 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\n\n\nExample 2\nInput:\nOrange Black Black Black Black Purple Black Red Yellow Red\nBlack Pink Purple Gray Black Black Black Black Black Black\nBlack Black Orange Pink Black Black Green Red Black Black\nBlack Yellow Black Black Pink Black Black Black Gray Black\nBlack Black Black Brown Black Orange Orange Black Black Black\nBlack Orange Yellow Black Black Black Pink Black Black Black\nBlue Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Blue Red Black Purple\nBlack Purple Pink Black Yellow Black Black Gray Black Blue\nBlack Black Black Black Black Black Black Gray Black Gray\n\nOutput:\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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nOrange Brown Black Black Black Black Black Black Black Purple\nBrown Black Black Orange Black Black Black Black Green Yellow\nBlack Black Black Black Yellow Black Black Green Black Black\nBlack Black Black Black Black Black Black Blue Gray Orange\nBlack Black Black Black Brown Black Orange Black Brown Blue\nBlack Pink Black Red Black Red Black Purple Black Black\nOrange Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Red Black Yellow Black Black Black Black\nBlack Pink Black Black Black Black Black Purple Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Green Gray Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Black Black Yellow Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Gray Green Black Black Black Gray Black Black Blue\nBlack Black Black Pink Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Purple Black Brown\nOrange Black Black Black Black Black Black Black Purple Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Blue Black Black Red Black Black Black Pink\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Green Green Green Black Black Black\nBlack Black Black Black Green Red Green Black Black Black\nBlack Black Black Black Green Green Green 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 Pink Pink Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Orange Orange Yellow Yellow Red Red Pink Pink\nBlack Black Brown Brown Black Black Black Black Black Black Orange Orange Yellow Yellow Red Red Pink Pink\nBlack Black Blue Blue Black Black Black Black Black Black Pink Pink Black Black Black Black Orange Orange\nBlack Black Blue Blue Black Black Black Black Black Black Pink Pink Black Black Black Black Orange Orange\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Orange Orange Black Black Orange Orange Black Black Black Black Gray Gray\nBlack Black Black Black Purple Purple Orange Orange Black Black Orange Orange Black Black Black Black Gray Gray\nBlack 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 Red Red Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Orange Orange Yellow Yellow Black Black Orange Orange Black Black Pink Pink\nBlack Black Black Black Black Black Orange Orange Yellow Yellow Black Black Orange Orange Black Black Pink Pink\nYellow Yellow Black Black Black Black Black Black Orange Orange Black Black Black Black Purple Purple Black Black\nYellow Yellow Black Black Black Black Black Black Orange Orange Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Blue Blue Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Blue Blue Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\n\nOutput:\nOrange Orange Black Black Black Black Pink Pink Black Black Black Black Black Black Blue Blue Black Black\nOrange Orange Black Black Black Black Pink Pink Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nGray Gray Black Black Black Black Orange Orange Black Black Orange Orange Purple Purple Black Black Black Black\nGray Gray Black Black Black Black Orange Orange Black Black Orange Orange Purple Purple Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nPink Pink Black Black Orange Orange Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black\nPink Pink Black Black Orange Orange Black Black Yellow Yellow Orange Orange Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Orange Orange Black Black Black Black Black Black Yellow Yellow\nBlack Black Purple Purple Black Black Black Black Orange Orange Black Black Black Black Black Black Yellow Yellow\nBlack Black Blue Blue Orange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Blue Blue Orange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Green Green Pink Pink Green Green Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Green Green Pink Pink Green Green Black Black Black Black\nPurple Purple Yellow Yellow Black Black Black Black Black Black Red Red Black Black Green Green Pink Pink Black Black Black Black\nPurple Purple Yellow Yellow Black Black Black Black Black Black Red Red Black Black Green Green Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Blue Blue Purple Purple Black Black Gray Gray Pink Pink\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Blue Blue Purple Purple Black Black Gray Gray Pink Pink\nBrown Brown Black Black Purple Purple Black Black Black Black Pink Pink Black Black Yellow Yellow Black Black Black Black Black Black\nBrown Brown Black Black Purple Purple Black Black Black Black Pink Pink Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Blue Blue Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Blue Blue Black Black Brown Brown\n\nOutput:\nBlack Black Black Black Green Green Pink Pink Green Green Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Green Green Pink Pink Green Green Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Pink Pink Green Green Black Black Red Red Black Black Black Black Black Black Yellow Yellow Purple Purple\nBlack Black Black Black Pink Pink Green Green Black Black Red Red Black Black Black Black Black Black Yellow Yellow Purple Purple\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nPink Pink Gray Gray Black Black Purple Purple Blue Blue Black Black Black Black Black Black Purple Purple Black Black Black Black\nPink Pink Gray Gray Black Black Purple Purple Blue Blue Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Pink Pink Black Black Black Black Purple Purple Black Black Brown Brown\nBlack Black Black Black Black Black Yellow Yellow Black Black Pink Pink Black Black Black Black Purple Purple Black Black Brown Brown\nBrown Brown Black Black Blue Blue Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBrown Brown Black Black Blue Blue Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nYellow Yellow Green Green Yellow Yellow Black Black Black Black Black Black Gray Gray Black Black Brown Brown Yellow Yellow\nYellow Yellow Green Green Yellow Yellow Black Black Black Black Black Black Gray Gray Black Black Brown Brown Yellow Yellow\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Gray Gray 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 Purple Purple Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange 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 Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Orange Orange\nYellow Yellow Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Yellow Yellow\nOrange Orange Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nGray Gray Black Black Pink Pink Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nGray Gray Black Black Pink Pink 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 Red Red Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Green Green\nBlack Black Red Red Pink Pink Black Black Black Black Black Black Pink Pink Purple Purple Blue Blue Gray Gray\nBlack Black Red Red Pink Pink Black Black Black Black Black Black Pink Pink Purple Purple Blue Blue Gray Gray\nBlack Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Brown Brown Black Black Orange Orange\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Brown Brown Black Black Orange Orange\nYellow Yellow Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Orange Orange Black Black\nYellow Yellow Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Orange Orange Black Black\nPurple Purple Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Blue Blue Black Black\nPurple Purple Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Orange Orange\nGray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Blue Blue Purple Purple Pink Pink Black Black Black Black Black Black Pink Pink Red Red Black Black\nGray Gray Blue Blue Purple Purple Pink Pink Black Black Black Black Black Black Pink Pink Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow Black Black\nOrange Orange Black Black Brown Brown Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nOrange Orange Black Black Brown Brown Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow\nBlack Black Blue Blue Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Blue Blue Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nOrange Orange Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray\nOrange Orange Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black\nBlack Black Green Green Black 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 Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Green Black Black Black Black Black Black Black\nBlack Black Green Green Yellow Green Green Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Green Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Yellow Black Black Black Black Black Black Black\nBlack Black Green Green Yellow Yellow Black Black Black Black Black Black\nBlack Green Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black\nBlack Black Black Black Green Black Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Green Black Black Black Black Black\nBlack Black Black Black Green Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Yellow Green Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Green Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nBrown Black Black Black Black Black Black Purple\nBlack Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black\nGreen Black Black Black Black Black Black Orange\n\nOutput:\nBrown Orange Orange Orange Orange Orange Orange Purple\nOrange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Black Black Orange\nBlack Orange Orange Orange Orange Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nGreen Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nRed Black Black Black Black Black Brown\nBlack Black Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Black Gray Gray Black\nBlack Gray Gray Black Gray Gray Black\nOrange Black Black Black Black Black Green\n\nOutput:\nRed Gray Gray Black Gray Gray Brown\nBlack Black Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray\nOrange Black Gray Gray Gray Black Green\n\n\nExample 3\nInput:\nYellow Black Black Black Black Black Black Black Gray\nBlack Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Black Blue Black Black Black\nBrown Black Black Black Black Black Black Black Red\n\nOutput:\nYellow Black Black Blue Black Blue Black Black Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Black Blue Black Black Black\nBrown Blue Blue Blue Blue Blue Blue Blue Red\n\n\nHere is the input grid for the test example:\nInput:\nBlue Black Black Black Black Brown\nBlack Red Red Red Black Black\nBlack Red Red Red Red Black\nBlack Red Red Red Red Black\nBlack Red Red Red Black Black\nGray Black Black Black Black 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```\nBlue Red Red Red Black Brown\nBlack Red Red Red Black Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nBlack Red Red Red Black Red\nGray Red Red Red Black Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black\nBlack Black Black Pink Pink Pink Black Black\nBlack Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black\nBlack Black Purple Red Purple Red Black Black\nBlack Black Purple Red Purple Red Black Black\nBlack Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black\nBlack Black Black Brown Brown Black Black\nBlack Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Purple Red Red Black Black\nBlack Black Purple Red Red Black Black\nBlack Black Purple Purple Red Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 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 Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Purple Purple Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Purple Purple 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 Red Black Black Black\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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Red Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red 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 Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Blue Purple Purple Black Black\nPurple Purple Purple Purple Purple Blue Purple Blue Black Black\nPurple Purple Purple Purple Purple Blue Blue Blue Black Black\nPurple Purple Purple Purple Purple Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nOrange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue Black Black\nOrange Orange Orange Orange Orange Blue Blue Orange Blue Blue Black Black\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue Black Black\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlue Blue Gray Black Black Black Black Black Black Black Black Black Black\nBlue Blue Gray Black Black Black Black Black Black Black Black Black Black\nBlue 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\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\nHere is the input grid for the test example:\nInput:\nPink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue 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```\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Blue Blue Black Black Black\nPink Pink Pink Pink Pink Blue Blue Blue Black Black Black\nPink Pink Pink Pink Pink Pink Blue Blue Black Black Black\nPink Pink Pink Pink Pink Blue Blue Pink 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 Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue 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 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 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 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 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 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\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 Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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"
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{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red\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 Green Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
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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 Yellow Yellow 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\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack 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 Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 2\nInput:\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\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\nExample 3\nInput:\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\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\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```",
"role": "assistant"
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]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Blue Black Black Black Black Black Black\nRed Black Black Green Black Black Black Yellow Black Black\nRed Black Black Green Black Black Black Red Black Black\nRed Black Black Green Black Blue Black Red Black Black\nRed Black Black Black Black Pink Black Red Black Black\nRed Black Black Black Black Green Black Red Black Black\nRed Black Black Black Black Green Black Yellow Black Black\nRed Black Black Black Black Pink Black Yellow Black Black\nRed Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Black Black Black Black Black Black\nGreen Black Black Green Black Black Black Yellow Black Black\nGreen Black Black Green Black Black Black Red Black Black\nGreen Black Black Green Black Blue Black Red Black Black\nGreen Black Black Black Black Pink Black Red Black Black\nGreen Black Black Black Black Green Black Red Black Black\nGreen Black Black Black Black Green Black Yellow Black Black\nGreen Black Black Black Black Pink Black Yellow Black Black\nGreen Black Black Black Black Red 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 Red\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Yellow Black Red Black Black Red\nBlack Black Black Black Yellow Black Yellow Black Black Black\nBlack Blue Black Black Yellow Black Blue Black Black Black\nBlack Pink Black Black Yellow Black Blue Black Black Black\nBlack Pink Black Black Yellow Black Black Black Black Black\nBlack Green Black Black Red Black Black Black Black Black\nBlack Yellow Black Black Green Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Green Black Red Black Black Red\nBlack Black Black Black Green Black Yellow Black Black Black\nBlack Blue Black Black Green Black Blue Black Black Black\nBlack Pink Black Black Green Black Blue Black Black Black\nBlack Pink Black Black Green Black Black Black Black Black\nBlack Green Black Black Green Black Black Black Black Black\nBlack Yellow Black Black Green Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nYellow Black Black Yellow Black Black Black Black Black Black\nYellow Black Yellow Red Black Black Black Black Black Black\nRed Black Yellow Blue Black Black Black Black Black Black\nRed Black Red Green Black Black Black Black Black Black\nPink Black Red Black Black Black Black Black Black Black\nRed Black Red Red Red Black Black Black Black Black\nPink Black Yellow Blue Red Black Black Black Black Black\nPink Black Yellow Blue Green Black Black Black Black Black\nPink Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\n\nOutput:\nYellow Black Black Green Black Black Black Black Black Black\nYellow Black Green Green Black Black Black Black Black Black\nRed Black Green Green Black Black Black Black Black Black\nRed Black Green Green Black Black Black Black Black Black\nPink Black Green Black Black Black Black Black Black Black\nRed Black Green Green Green Black Black Black Black Black\nPink Black Green Green Green Black Black Black Black Black\nPink Black Green Green Green Black Black Black Black Black\nPink Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Red Black Black Black\nBlack Black Black Pink Green Black Red Black Black Black\nBlack Black Black Pink Green Black Red Black Black Black\nBlack Black Black Blue Green Black Red Black Black Black\nBlack Black Black Pink Red Black Red Black Black Black\nBlack Black Black Pink Red Black Red Black Black Black\nBlack Black Black 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```\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Green Black Black Red Black Black Black\nBlack Black Black Green Green Black Red Black Black Black\nBlack Black Black Green Green Black Red Black Black Black\nBlack Black Black Green Green Black Red Black Black Black\nBlack Black Black Green Green Black Red Black Black Black\nBlack Black Black Green Green Black Red Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Pink Pink Pink Pink Brown Brown Brown Brown\nOrange Orange Pink Pink Pink Pink Brown Brown Brown Brown\nGray Gray Blue Blue Blue Blue Green Green Green Green\nGray Gray Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Blue Blue Orange Orange Red Red\nBlue Blue Blue Blue Blue Blue Orange Orange Red Red\nBlue Blue Gray Gray Blue Blue Blue Blue Brown Brown\nBlue Blue Gray Gray Blue Blue Blue Blue Brown Brown\n\nOutput:\nOrange Orange Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange\nOrange Orange Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange\nGray Gray Blue Blue Blue Blue Green Green Green Green Green Green Green Green Blue Blue Blue Blue Gray Gray\nGray Gray Blue Blue Blue Blue Green Green Green Green Green Green Green Green Blue Blue Blue Blue Gray Gray\nBlue Blue Blue Blue Blue Blue Orange Orange Red Red Red Red Orange Orange Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Orange Orange Red Red Red Red Orange Orange Blue Blue Blue Blue Blue Blue\nBlue Blue Gray Gray Blue Blue Blue Blue Brown Brown Brown Brown Blue Blue Blue Blue Gray Gray Blue Blue\nBlue Blue Gray Gray Blue Blue Blue Blue Brown Brown Brown Brown Blue Blue Blue Blue Gray Gray Blue Blue\n\n\nExample 2\nInput:\nRed Red Red Red Orange Orange Orange Orange\nRed Red Red Red Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Orange Orange Blue Blue Orange Orange\nGreen Green Orange Orange Blue Blue Orange Orange\nGreen Green Purple Purple Pink Pink Blue Blue\nGreen Green Purple Purple Pink Pink Blue Blue\nOrange Orange Yellow Yellow Yellow Yellow Blue Blue\nOrange Orange Yellow Yellow Yellow Yellow Blue Blue\n\nOutput:\nRed Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red\nRed Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Orange Orange Blue Blue Orange Orange Orange Orange Blue Blue Orange Orange Green Green\nGreen Green Orange Orange Blue Blue Orange Orange Orange Orange Blue Blue Orange Orange Green Green\nGreen Green Purple Purple Pink Pink Blue Blue Blue Blue Pink Pink Purple Purple Green Green\nGreen Green Purple Purple Pink Pink Blue Blue Blue Blue Pink Pink Purple Purple Green Green\nOrange Orange Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Orange Orange\nOrange Orange Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Orange Orange\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Purple Purple Brown Brown Orange Orange\nOrange Orange Orange Orange Purple Purple Brown Brown Orange Orange\nBlue Blue Orange Orange Brown Brown Brown Brown Purple Purple\nBlue Blue Orange Orange Brown Brown Brown Brown Purple Purple\nBlue Blue Gray Gray Red Red Red Red Red Red\nBlue Blue Gray Gray Red Red Red Red Red Red\nGray Gray Gray Gray Red Red Blue Blue Gray Gray\nGray Gray Gray Gray Red Red Blue Blue Gray Gray\nGray Gray Brown Brown Yellow Yellow Gray Gray Pink Pink\nGray Gray Brown Brown Yellow Yellow Gray Gray Pink Pink\n\nOutput:\nOrange Orange Orange Orange Purple Purple Brown Brown Orange Orange Orange Orange Brown Brown Purple Purple Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Purple Brown Brown Orange Orange Orange Orange Brown Brown Purple Purple Orange Orange Orange Orange\nBlue Blue Orange Orange Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Blue Blue\nBlue Blue Orange Orange Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Blue Blue\nBlue Blue Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Blue Blue\nBlue Blue Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Blue Blue\nGray Gray Gray Gray Red Red Blue Blue Gray Gray Gray Gray Blue Blue Red Red Gray Gray Gray Gray\nGray Gray Gray Gray Red Red Blue Blue Gray Gray Gray Gray Blue Blue Red Red Gray Gray Gray Gray\nGray Gray Brown Brown Yellow Yellow Gray Gray Pink Pink Pink Pink Gray Gray Yellow Yellow Brown Brown Gray Gray\nGray Gray Brown Brown Yellow Yellow Gray Gray Pink Pink Pink Pink Gray Gray Yellow Yellow Brown Brown Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Blue Blue Purple Purple\nPink Pink Blue Blue Purple Purple\nBlue Blue Blue Blue Yellow Yellow\nBlue Blue Blue Blue Yellow Yellow\nBlue Blue Pink Pink Red Red\nBlue Blue Pink Pink 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```\nPink Pink Blue Blue Purple Purple Purple Purple Blue Blue Pink Pink\nPink Pink Blue Blue Purple Purple Purple Purple Blue Blue Pink Pink\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nBlue Blue Pink Pink Red Red Red Red Pink Pink Blue Blue\nBlue Blue Pink Pink Red Red Red Red Pink Pink 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 Gray Gray Gray Black Black Black Black Black Yellow Yellow Black Black\nBlack Gray Gray Gray Red Red Red Black Black Yellow Yellow Gray Black\nBlack Gray Gray Gray Red Red Red Black Brown Brown Black Black Black\nGray Gray Gray Black Red Red Red Black Brown Brown Black Black Black\nGray Gray Gray Black Black Black Green Green Black Blue Blue Blue Black\nGray Gray Gray Black Black Black Green Green Black Blue Blue Blue Black\nPink Pink Pink Green Green Black Black Black Black Blue Blue Blue Black\nPink Pink Pink Green Green Brown Yellow Yellow Yellow Black Purple Black Black\nPink Pink Pink Brown Brown Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nRed Red Red Brown Brown Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nRed Red Red Black Black Blue Blue Blue Black Yellow Yellow Yellow Black\nRed Red Red Orange Black Blue Blue Blue Black Yellow Black Black Green\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nGreen Green Green Black Orange Orange Orange Black Black Black Black Black\nGreen Green Green Black Orange Orange Orange Red Black Black Black Black\nGreen Green Green Black Orange Orange Orange Black Black Red Red Black\nBlack Blue Blue Blue Yellow Black Black Black Black Red Red Black\nBlack Blue Blue Blue Black Pink Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Black Blue Blue Blue Blue Black Red\nGray Gray Gray Gray Black Black Blue Blue Blue Blue Black Orange\nGray Gray Gray Gray Black Black Blue Blue Blue Blue Black Black\nGray Gray Gray Gray Black Black Black Black Black Brown Brown Green\nGray Gray Gray Gray Blue Blue Black Black Orange Brown Brown Black\nBlack Black Yellow Yellow Blue Blue Black Blue Black Black Black Black\nBlack Black Yellow Yellow Pink Black Pink Black Pink Black Gray Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen 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 3\nInput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Red Red Brown Brown Brown Yellow Yellow Yellow Black Black Black\nBlack Red Red Brown Brown Brown Yellow Yellow Yellow Brown Green Green\nBlack Black Black Brown Brown Brown Black Black Black Black Green Green\nBlack Yellow Yellow Yellow Yellow Black Blue Blue Blue Blue Black Black\nYellow Yellow Yellow Yellow Yellow Black Blue Blue Blue Blue Black Black\nBlack Yellow Yellow Yellow Yellow Black Blue Blue Blue Blue Black Black\nBlack Yellow Yellow Yellow Yellow Black Blue Blue Blue Blue Black Black\nBlack Red Red Black Black Black Black Black Green Black Black Black\nBlack Red Red Red Red Red Red Pink Pink Red Red Red\nBlack Black Black Red Red Red Red Pink Pink Red Red Red\nGray Gray Gray Red Red Red Red Black Black Red Red Red\nGray Gray Gray Red Red Red Red Black Orange Orange Black Black\nGray Gray Gray Black Black Orange Black Black Orange Orange Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\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 Green Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Blue Blue Black Black Black Black Black Blue Yellow Yellow Yellow Yellow Black\nBlack Blue Blue Black Black Black Red Red Red Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Red Red Red Yellow Yellow Yellow Yellow Black\nBlack Black Black Gray Black Black Red Red Red Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Gray Green Green Green Green Black Black\nBlack Gray Gray Pink Pink Pink Pink Black Green Green Green Green Black Black\nBlack Gray Gray Pink Pink Pink Pink Black Green Green Green Green Black Black\nBlack Black Black Pink Pink Pink Pink Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Blue Blue Black Black Black Black Black Blue Yellow Yellow Yellow Yellow Black\nBlack Blue Blue Black Black Black Red Red Red Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Red Red Red Yellow Yellow Yellow Yellow Black\nBlack Black Black Gray Black Black Red Red Red Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Green Green Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Red Orange Gray Gray Black Black Black\nPurple Purple Brown Pink Black Black Pink Green Yellow Gray Black Black Black\nBrown Purple Brown Pink Black Black Pink Green Orange Gray Black Black Black\nBrown Orange Purple Purple Black Black Black Black Black Black Black Black Black\nYellow Orange Brown Brown 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 Orange Orange Brown Black Black\nBlack Black Blue Blue Orange Black Black Black Purple Yellow Yellow Black Black\nBlack Black Blue Blue Pink Black Black Black Blue Yellow Brown Black Black\nBlack Black Blue Blue Pink Black Black Black Blue Green Brown Black Black\nBlack Black Blue Green Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Green Brown 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 Red Brown Brown Gray Black\nBlack Black Black Black Black Black Black Black Green Brown Red Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black\nPink Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black\nPink Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black\nPink Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nOrange Orange Orange Orange Orange Black Black Brown Brown Brown Brown Black Black\nOrange Orange Orange Orange Orange Black Black Brown Brown Brown Brown Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray 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 Red Red\nBlack Black Black Black Black Black Black Black Black Black Blue Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Orange Brown Brown Black Black\nBlack Black Black Black Black Black Pink Orange Brown Purple Black Black\nBlack Black Black Black Black Black Purple Red Pink Purple Black Black\nGray Orange Black Black Black Black Black Black Black Black Black Black\nBrown Green Black Black Orange Green Green Red Black Black Black Black\nOrange Orange Black Black Yellow Purple Orange Red Black Black Black Black\nBlue Purple Black Black Yellow Pink Blue Red Black Black Black Black\nPurple Purple Black Black Blue Blue Yellow Orange Black Black Black Black\nBlue Green Gray Gray Gray Orange Orange Orange Black Black Black Black\nPink Pink Green Gray Black Black Black Black Black Black Black Black\nPink Yellow Green Purple 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 Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Gray Brown Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Green Purple Black Black Black Black Black Black Black\nBlack Black Black Blue Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Blue Blue Orange Black Black Black Black Black Black Black\nBrown Gray Gray Orange Orange Black Black Black Black Black Black Black\nYellow Red Red Brown Purple Black Black Black Black Black Black Black\nGray Blue Red Brown Brown Black Black Black Blue Brown Brown Brown\nPink Gray Red Purple Orange Black Black Black Yellow Orange Pink Yellow\nBlack Black Black Black Black Black Black Black Brown Brown Brown Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Brown Brown Brown\nOrange Orange Orange Orange Orange Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Blue Blue Blue Yellow Pink Black Black\nBlack Black Black Black Black Black Black Blue Blue Purple Purple Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Yellow Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Pink Pink Brown Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Yellow Black Black Black Black Black Black\nBlack Black Black Black Red Blue Pink Yellow Black Black Blue Orange Blue Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Blue Blue Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Blue Blue Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Green Green Pink Pink Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Green Green Pink Pink Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Orange Orange Orange Orange Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange 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\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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Red Red Red Red Black Black\nBlack Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Red Red Red Red Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Yellow Yellow Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Yellow Yellow Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Blue Blue Yellow Yellow Orange Orange Orange Orange Red Red Red Red Black Black\nBlack Black Gray Gray Gray Gray Blue Blue Yellow Yellow Orange Orange Orange Orange Red Red Red Red Black Black\nBlack Black Green Green Green Green Blue Blue Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Green Green Green Green Blue Blue Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Pink Pink Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Black Black Pink Pink Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Green Green Black Black Pink Pink Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Green Green Black Black Pink Pink Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack 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 Yellow Yellow Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Green Green Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Green Green Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Brown Brown Brown Brown Black Black Black Black\nBlack Black Gray Gray Red Red Red Red Purple Purple Yellow Yellow Gray Gray Black Black Black Black\nBlack Black Gray Gray Red Red Red Red Purple Purple Yellow Yellow Gray Gray Black Black Black Black\nBlack Black Black Black Blue Blue Brown Brown Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Brown Brown Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Green Green Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Green Green Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Gray Gray Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Gray Gray Black Black Black Black\nBlack Black Gray Gray Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Gray Gray Black Black Black Black\nBlack Black Black Black Blue Blue Brown Brown Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Brown Brown Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black\nBlack Red Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Red 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black 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\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Red 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\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black 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\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 Red Red Red Black Red Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black\nBlack Red Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nPink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Orange Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Orange Orange Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black\nPurple Green Black Black Black Black Black Green Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Black\nBrown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Gray Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Brown Black Brown Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Pink Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Blue Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Brown Black Black Black Black Black\nBlack Black Black Black Purple Pink Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Brown Black Brown Black Black Black Black Black\nPurple Purple Purple Purple Purple Pink Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Blue Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nYellow\n\n\nExample 2\nInput:\nBlack Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nGreen\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 Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Green Green Green\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Green Green Green\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Green Green Green\nBrown Brown Brown Green Green Green Green Green Green Green Green Green Pink Pink Pink Blue Blue Blue Brown Brown Brown Green Green Green\nBrown Brown Brown Green Green Green Green Green Green Green Green Green Pink Pink Pink Blue Blue Blue Brown Brown Brown Green Green Green\nBrown Brown Brown Green Green Green Green Green Green Green Green Green Pink Pink Pink Blue Blue Blue Brown Brown Brown Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Pink Pink Pink Blue Blue Blue Red Red Red Pink Pink Pink Brown Brown Brown Red Red Red Pink Pink Pink\nGray Gray Gray Pink Pink Pink Blue Blue Blue Red Red Red Pink Pink Pink Brown Brown Brown Red Red Red Pink Pink Pink\nGray Gray Gray Pink Pink Pink Blue Blue Blue Red Red Red Pink Pink Pink Brown Brown Brown Red Red Red Pink Pink Pink\nPink Pink Pink Gray Gray Gray Brown Brown Brown Blue Blue Blue Brown Brown Brown Pink Pink Pink Gray Gray Gray Brown Brown Brown\nPink Pink Pink Gray Gray Gray Brown Brown Brown Blue Blue Blue Brown Brown Brown Pink Pink Pink Gray Gray Gray Brown Brown Brown\nPink Pink Pink Gray Gray Gray Brown Brown Brown Blue Blue Blue Brown Brown Brown Pink Pink Pink Gray Gray Gray Brown Brown Brown\nYellow Yellow Yellow Green Green Green Gray Gray Gray Green Green Green Blue Blue Blue Brown Brown Brown Green Green Green Pink Pink Pink\nYellow Yellow Yellow Green Green Green Gray Gray Gray Green Green Green Blue Blue Blue Brown Brown Brown Green Green Green Pink Pink Pink\nYellow Yellow Yellow Green Green Green Gray Gray Gray Green Green Green Blue Blue Blue Brown Brown Brown Green Green Green Pink Pink Pink\nBrown Brown Brown Green Green Green Gray Gray Gray Red Red Red Pink Pink Pink Blue Blue Blue Green Green Green Brown Brown Brown\nBrown Brown Brown Green Green Green Gray Gray Gray Red Red Red Pink Pink Pink Blue Blue Blue Green Green Green Brown Brown Brown\nBrown Brown Brown Green Green Green Gray Gray Gray Red Red Red Pink Pink Pink Blue Blue Blue Green Green Green Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Brown Brown Brown Green Green Green Red Red Red Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Brown Brown Brown Green Green Green Red Red Red Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Brown Brown Brown Green Green Green Red Red Red Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Brown Brown Brown Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Brown Brown Brown Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Brown Brown Brown Pink Pink Pink\nBrown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink\nBrown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink\nBrown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Black Black Black Blue Blue Blue Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Black Black Black Blue Blue Blue Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Black Black Black Blue Blue Blue Brown Brown Brown\nBlack Black Black Green Green Green Yellow Yellow Yellow Purple Purple Purple Green Green Green Brown Brown Brown Purple Purple Purple Green Green Green\nBlack Black Black Green Green Green Yellow Yellow Yellow Purple Purple Purple Green Green Green Brown Brown Brown Purple Purple Purple Green Green Green\nBlack Black Black Green Green Green Yellow Yellow Yellow Purple Purple Purple Green Green Green Brown Brown Brown Purple Purple Purple Green Green Green\nGreen Green Green Black Black Black Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Green Green Green Black Black Black Brown Brown Brown\nGreen Green Green Black Black Black Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Green Green Green Black Black Black Brown Brown Brown\nGreen Green Green Black Black Black Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Green Green Green Black Black Black Brown Brown Brown\nBlue Blue Blue Pink Pink Pink Black Black Black Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Green Green Green\nBlue Blue Blue Pink Pink Pink Black Black Black Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Green Green Green\nBlue Blue Blue Pink Pink Pink Black Black Black Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Green Green Green\nBrown Brown Brown Pink Pink Pink Black Black Black Purple Purple Purple Green Green Green Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Black Black Black Purple Purple Purple Green Green Green Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Pink Pink Pink Black Black Black Purple Purple Purple Green Green Green Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Green Green Green Brown Brown Brown Pink Pink Pink Purple Purple Purple Blue Blue Blue Green Green Green Brown Brown Brown\nBrown Brown Brown Green Green Green Brown Brown Brown Pink Pink Pink Purple Purple Purple Blue Blue Blue Green Green Green Brown Brown Brown\nBrown Brown Brown Green Green Green Brown Brown Brown Pink Pink Pink Purple Purple Purple Blue Blue Blue Green Green Green Brown Brown Brown\n\n\nExample 2\nInput:\nYellow Yellow Yellow Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown\nYellow Yellow Yellow Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown\nYellow Yellow Yellow Pink Pink Pink Brown Brown Brown Yellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown\nYellow Yellow Yellow Red Red Red Green Green Green Green Green Green Green Green Green Pink Pink Pink Blue Blue Blue\nYellow Yellow Yellow Red Red Red Green Green Green Green Green Green Green Green Green Pink Pink Pink Blue Blue Blue\nYellow Yellow Yellow Red Red Red Green Green Green Green Green Green Green Green Green Pink Pink Pink Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Gray Gray Gray Brown Brown Brown Green Green Green Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Brown Brown Brown Green Green Green Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Brown Brown Brown Green Green Green Blue Blue Blue Gray Gray Gray Blue Blue Blue\nGray Gray Gray Blue Blue Blue Red Red Red Pink Pink Pink Blue Blue Blue Red Red Red Brown Brown Brown\nGray Gray Gray Blue Blue Blue Red Red Red Pink Pink Pink Blue Blue Blue Red Red Red Brown Brown Brown\nGray Gray Gray Blue Blue Blue Red Red Red Pink Pink Pink Blue Blue Blue Red Red Red Brown Brown Brown\nGray Gray Gray Red Red Red Gray Gray Gray Blue Blue Blue Pink Pink Pink Green Green Green Red Red Red\nGray Gray Gray Red Red Red Gray Gray Gray Blue Blue Blue Pink Pink Pink Green Green Green Red Red Red\nGray Gray Gray Red Red Red Gray Gray Gray Blue Blue Blue Pink Pink Pink Green Green Green Red Red Red\nGreen Green Green Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Brown Brown Brown Pink Pink Pink\nGreen Green Green Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Brown Brown Brown Pink Pink Pink\nGreen Green Green Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Brown Brown Brown Pink Pink Pink\n\nOutput:\nBlue Blue Blue Green Green Green Brown Brown Brown Blue Blue Blue Pink Pink Pink Pink Pink Pink Brown Brown Brown\nBlue Blue Blue Green Green Green Brown Brown Brown Blue Blue Blue Pink Pink Pink Pink Pink Pink Brown Brown Brown\nBlue Blue Blue Green Green Green Brown Brown Brown Blue Blue Blue Pink Pink Pink Pink Pink Pink Brown Brown Brown\nBlue Blue Blue Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Yellow Yellow Yellow\nBlue Blue Blue Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Yellow Yellow Yellow\nBlue Blue Blue Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Green Green Green Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Green Green Green Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Green Green Green Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Black Black Black Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Purple Purple Purple Green Green Green Yellow Yellow Yellow Purple Purple Purple Brown Brown Brown\nBlack Black Black Yellow Yellow Yellow Purple Purple Purple Green Green Green Yellow Yellow Yellow Purple Purple Purple Brown Brown Brown\nBlack Black Black Yellow Yellow Yellow Purple Purple Purple Green Green Green Yellow Yellow Yellow Purple Purple Purple Brown Brown Brown\nBlack Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow Green Green Green Pink Pink Pink Purple Purple Purple\nBlack Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow Green Green Green Pink Pink Pink Purple Purple Purple\nBlack Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow Green Green Green Pink Pink Pink Purple Purple Purple\nPink Pink Pink Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Brown Brown Brown Green Green Green\nPink Pink Pink Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Brown Brown Brown Green Green Green\nPink Pink Pink Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Brown Brown Brown Green Green Green\n\n\nExample 3\nInput:\nYellow Yellow Yellow Pink Pink Pink Gray Gray Gray Brown Brown Brown Pink Pink Pink Brown Brown Brown Red Red Red\nYellow Yellow Yellow Pink Pink Pink Gray Gray Gray Brown Brown Brown Pink Pink Pink Brown Brown Brown Red Red Red\nYellow Yellow Yellow Pink Pink Pink Gray Gray Gray Brown Brown Brown Pink Pink Pink Brown Brown Brown Red Red Red\nRed Red Red Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Red Red Red Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Red Red Red Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Red Red Red Gray Gray Gray\nYellow Yellow Yellow Brown Brown Brown Green Green Green Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Brown Brown Brown Green Green Green Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Brown Brown Brown Green Green Green Blue Blue Blue Pink Pink Pink Blue Blue Blue Blue Blue Blue\nGreen Green Green Gray Gray Gray Green Green Green Green Green Green Brown Brown Brown Yellow Yellow Yellow Pink Pink Pink\nGreen Green Green Gray Gray Gray Green Green Green Green Green Green Brown Brown Brown Yellow Yellow Yellow Pink Pink Pink\nGreen Green Green Gray Gray Gray Green Green Green Green Green Green Brown Brown Brown Yellow Yellow Yellow Pink Pink Pink\nBlue Blue Blue Red Red Red Red Red Red Pink Pink Pink Gray Gray Gray Brown Brown Brown Pink Pink Pink\nBlue Blue Blue Red Red Red Red Red Red Pink Pink Pink Gray Gray Gray Brown Brown Brown Pink Pink Pink\nBlue Blue Blue Red Red Red Red Red Red Pink Pink Pink Gray Gray Gray Brown Brown Brown Pink Pink Pink\nBrown Brown Brown Blue Blue Blue Green Green Green Gray Gray Gray Red Red Red Pink Pink Pink Red Red Red\nBrown Brown Brown Blue Blue Blue Green Green Green Gray Gray Gray Red Red Red Pink Pink Pink Red Red Red\nBrown Brown Brown Blue Blue Blue Green Green Green Gray Gray Gray Red Red Red Pink Pink Pink Red Red Red\nPink Pink Pink Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Brown Brown Brown\nPink Pink Pink Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Brown Brown Brown\nPink Pink Pink Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Brown Brown Brown\n\nOutput:\nBlue Blue Blue Green Green Green Black Black Black Brown Brown Brown Green Green Green Brown Brown Brown Purple Purple Purple\nBlue Blue Blue Green Green Green Black Black Black Brown Brown Brown Green Green Green Brown Brown Brown Purple Purple Purple\nBlue Blue Blue Green Green Green Black Black Black Brown Brown Brown Green Green Green Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Green Green Green Green Green Green Blue Blue Blue Purple Purple Purple Black Black Black\nPurple Purple Purple Blue Blue Blue Green Green Green Green Green Green Blue Blue Blue Purple Purple Purple Black Black Black\nPurple Purple Purple Blue Blue Blue Green Green Green Green Green Green Blue Blue Blue Purple Purple Purple Black Black Black\nBlue Blue Blue Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Brown Brown Brown Blue Blue Blue Green Green Green\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Brown Brown Brown Blue Blue Blue Green Green Green\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Brown Brown Brown Blue Blue Blue Green Green Green\nYellow Yellow Yellow Purple Purple Purple Purple Purple Purple Green Green Green Black Black Black Brown Brown Brown Green Green Green\nYellow Yellow Yellow Purple Purple Purple Purple Purple Purple Green Green Green Black Black Black Brown Brown Brown Green Green Green\nYellow Yellow Yellow Purple Purple Purple Purple Purple Purple Green Green Green Black Black Black Brown Brown Brown Green Green Green\nBrown Brown Brown Yellow Yellow Yellow Pink Pink Pink Black Black Black Purple Purple Purple Green Green Green Purple Purple Purple\nBrown Brown Brown Yellow Yellow Yellow Pink Pink Pink Black Black Black Purple Purple Purple Green Green Green Purple Purple Purple\nBrown Brown Brown Yellow Yellow Yellow Pink Pink Pink Black Black Black Purple Purple Purple Green Green Green Purple Purple Purple\nGreen Green Green Pink Pink Pink Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Brown Brown Brown\nGreen Green Green Pink Pink Pink Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Brown Brown Brown\nGreen Green Green Pink Pink Pink Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red Green Green Green Blue Blue Blue Yellow Yellow Yellow\nBrown Brown Brown Blue Blue Blue Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red Green Green Green Blue Blue Blue Yellow Yellow Yellow\nBrown Brown Brown Blue Blue Blue Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red Green Green Green Blue Blue Blue Yellow Yellow Yellow\nBrown Brown Brown Green Green Green Blue Blue Blue Green Green Green Gray Gray Gray Green Green Green Gray Gray Gray Pink Pink Pink Red Red Red\nBrown Brown Brown Green Green Green Blue Blue Blue Green Green Green Gray Gray Gray Green Green Green Gray Gray Gray Pink Pink Pink Red Red Red\nBrown Brown Brown Green Green Green Blue Blue Blue Green Green Green Gray Gray Gray Green Green Green Gray Gray Gray Pink Pink Pink Red Red Red\nBrown Brown Brown Gray Gray Gray Green Green Green Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Brown Brown Brown Red Red Red\nBrown Brown Brown Gray Gray Gray Green Green Green Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Brown Brown Brown Red Red Red\nBrown Brown Brown Gray Gray Gray Green Green Green Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Brown Brown Brown Red Red Red\nBlue Blue Blue Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray\nYellow Yellow Yellow Red Red Red Pink Pink Pink Brown Brown Brown Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Green Green Green Blue Blue Blue\nYellow Yellow Yellow Red Red Red Pink Pink Pink Brown Brown Brown Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Green Green Green Blue Blue Blue\nYellow Yellow Yellow Red Red Red Pink Pink Pink Brown Brown Brown Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Green Green Green Blue Blue Blue\nPink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Blue Blue Blue Blue Blue Blue Green Green Green Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Blue Blue Blue Blue Blue Blue Green Green Green Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Blue Blue Blue Blue Blue Blue Green Green Green Yellow Yellow Yellow Gray Gray Gray\nBlue Blue Blue Pink Pink Pink Green Green Green Gray Gray Gray Red Red Red Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray\nBlue Blue Blue Pink Pink Pink Green Green Green Gray Gray Gray Red Red Red Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray\nBlue Blue Blue Pink Pink Pink Green Green Green Gray Gray Gray Red Red Red Gray Gray Gray Pink Pink Pink Pink Pink Pink 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```\nYellow Yellow Yellow Blue Blue Blue Black Black Black Green Green Green Yellow Yellow Yellow Blue Blue Blue Green Green Green Green Green Green Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Black Black Black Green Green Green Yellow Yellow Yellow Blue Blue Blue Green Green Green Green Green Green Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Black Black Black Green Green Green Yellow Yellow Yellow Blue Blue Blue Green Green Green Green Green Green Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Blue Blue Blue\nBrown Brown Brown Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Blue Blue Blue\nBrown Brown Brown Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Blue Blue Blue\nBrown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Green Green Green Purple Purple Purple\nBrown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Green Green Green Purple Purple Purple\nBrown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Green Green Green Purple Purple Purple\nBrown Brown Brown Black Black Black Pink Pink Pink Brown Brown Brown Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Black Black Black Pink Pink Pink Brown Brown Brown Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Black Black Black Pink Pink Pink Brown Brown Brown Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple\nYellow Yellow Yellow Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Purple Purple Purple Green Green Green Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow\nBlue Blue Blue Purple Purple Purple Green Green Green Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow\nBlue Blue Blue Purple Purple Purple Green Green Green Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Brown Brown Brown Green Green Green Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Green Green Green Brown Brown Brown Green Green Green Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Green Green Green Brown Brown Brown Green Green Green Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green\nBlack Black Black Green Green Green Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Black Black Black\nYellow Yellow Yellow Green Green Green Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Green Green Green Green Green Green Black Black Black\nYellow Yellow Yellow Green Green Green Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Green Green Green Green Green Green Black Black Black\nYellow Yellow Yellow Green Green Green Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Green Green Green Green Green Green Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Green Green Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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 Red Red Black Black Black Black Black Red Red\nBlack Red Red Red Black Blue Black Black Red Red\nBlack Red Red Black Black Blue Blue Blue Red Red\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Black Red Black Red Red Black Black\nBlack Black Black Red Red Black Red Red Black Black\nBlack Black Black Black Red Black Red Red Black Black\nBlack Black Blue Black Black Green Black Black Green Black\nBlack Black Blue Black Green Green Green Green Green Green\nBlack Blue Blue Black Black Green Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue Black Black Red Red Red Black\nBlack Black Blue Blue Blue Black Red Red Red 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 Blue Black Red Red Black\nBlack Black Black Black Black Blue Black Red Red Black\nBlue Blue Black Blue Blue Blue Black Black Green Black\nBlack Blue Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Green 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```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\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\nYellow 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\nYellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\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\nYellow 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\nYellow 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\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 Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Black Black Black Black Green Green Green Green Green Green Green Green 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 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 Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green 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 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Black Black Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Black Black Brown Brown\nBlack Black Purple Purple Purple Purple Brown Brown Black Black Purple Purple Purple Purple Brown Brown\nBlack Black Purple Purple Purple Purple Brown Brown Black Black Purple Purple Purple Purple Brown Brown\nBrown Brown Purple Purple Purple Purple Black Black Brown Brown Purple Purple Purple Purple Black Black\nBrown Brown Purple Purple Purple Purple Black Black Brown Brown Purple Purple Purple Purple Black Black\nBrown Brown Black Black Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Black Black Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Black Black Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Black Black Brown Brown\nBlack Black Purple Purple Purple Purple Brown Brown Black Black Purple Purple Purple Purple Brown Brown\nBlack Black Purple Purple Purple Purple Brown Brown Black Black Purple Purple Purple Purple Brown Brown\nBrown Brown Purple Purple Purple Purple Black Black Brown Brown Purple Purple Purple Purple Black Black\nBrown Brown Purple Purple Purple Purple Black Black Brown Brown Purple Purple Purple Purple Black Black\nBrown Brown Black Black Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Black Black Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Red Red Black Black\nBlack Black Green Green Red Red Red Red Black Black Green Green Red Red Red Red\nBlack Black Green Green Red Red Red Red Black Black Green Green Red Red Red Red\nBlack Black Black Black Brown Brown Pink Pink Black Black Black Black Brown Brown Pink Pink\nBlack Black Black Black Brown Brown Pink Pink Black Black Black Black Brown Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Red Red Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Red Red Black Black\nBlack Black Green Green Red Red Red Red Black Black Green Green Red Red Red Red\nBlack Black Green Green Red Red Red Red Black Black Green Green Red Red Red Red\nBlack Black Black Black Brown Brown Pink Pink Black Black Black Black Brown Brown Pink Pink\nBlack Black Black Black Brown Brown Pink Pink Black Black Black Black Brown Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Blue Blue Brown Brown Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Blue Blue Brown Brown Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Blue Blue Brown Brown Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Blue Blue Brown Brown Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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```\nPurple Purple Blue Blue Brown Brown Pink Pink Purple Purple Blue Blue Brown Brown Pink Pink\nPurple Purple Blue Blue Brown Brown Pink Pink Purple Purple Blue Blue Brown Brown Pink Pink\nPurple Purple Blue Blue Gray Gray Black Black Purple Purple Blue Blue Gray Gray Black Black\nPurple Purple Blue Blue Gray Gray Black Black Purple Purple Blue Blue Gray Gray Black Black\nPurple Purple Blue Blue Gray Gray Black Black Purple Purple Blue Blue Gray Gray Black Black\nPurple Purple Blue Blue Gray Gray Black Black Purple Purple Blue Blue Gray Gray Black Black\nPurple Purple Blue Blue Brown Brown Pink Pink Purple Purple Blue Blue Brown Brown Pink Pink\nPurple Purple Blue Blue Brown Brown Pink Pink Purple Purple Blue Blue Brown Brown Pink Pink\nPurple Purple Blue Blue Brown Brown Pink Pink Purple Purple Blue Blue Brown Brown Pink Pink\nPurple Purple Blue Blue Brown Brown Pink Pink Purple Purple Blue Blue Brown Brown Pink Pink\nPurple Purple Blue Blue Gray Gray Black Black Purple Purple Blue Blue Gray Gray Black Black\nPurple Purple Blue Blue Gray Gray Black Black Purple Purple Blue Blue Gray Gray Black Black\nPurple Purple Blue Blue Gray Gray Black Black Purple Purple Blue Blue Gray Gray Black Black\nPurple Purple Blue Blue Gray Gray Black Black Purple Purple Blue Blue Gray Gray Black Black\nPurple Purple Blue Blue Brown Brown Pink Pink Purple Purple Blue Blue Brown Brown Pink Pink\nPurple Purple Blue Blue Brown Brown Pink Pink Purple Purple Blue Blue Brown Brown Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Blue Black\nBlack Black Black Black Black Blue Black Black\nBlack Black Black Black Green Black Black Black\nBlack Black Black Yellow Black Black Black Black\nBlack Black Green Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Red Black\nBlack Black Black Black Black Red Black Black\nBlack Black Black Black Yellow Black Black Black\nBlack Black Black Green Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Red Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Blue\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Red Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Blue Black Black Black Black Black\nGreen Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Green Black\nBlack Black Black Black Blue Black Black\nBlack Black Black Green Black Black Black\nBlack Black Red Black Black Black Black\nBlack Red Black Black Black Black Black\nYellow Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Blue\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Red Black Black Black Black\nBlack Red Black Black Black Black Black\nBlue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Green Black\nBlack Black Black Black Green Black Black\nBlack Black Black Green Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Blue Black Black Black Black Black\nRed 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\nBlack Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Green Black Black Black Black\nBlack Black Black Red Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black\nBlue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Purple Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Gray Brown Red Orange Black Black Black Black Black Black\nBlack Black Black Black Black Purple Orange Pink Brown Pink Gray Pink Black Black Black Black Black\nBlack Black Black Black Black Yellow Brown Black Purple Pink Brown Black Black Black Black Black Black\nBlack Black Black Black Black Green Purple Pink Brown Pink Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Blue Orange Yellow Red Gray Green Purple Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Orange Black Black Black Black Black Yellow Black Black Black Black Black\nOrange Purple Black Black Black Red Black Black Black Purple Orange Black Orange Purple Black Black Black\nOrange Red Brown Gray Orange Black Orange Gray Brown Red Orange Black Orange Red Brown Gray Orange\nGray Pink Brown Pink Orange Purple Orange Pink Brown Pink Gray Pink Gray Pink Brown Pink Orange\nBrown Pink Purple Black Brown Yellow Brown Black Purple Pink Brown Black Brown Pink Purple Black Brown\nOrange Pink Brown Pink Purple Green Purple Pink Brown Pink Orange Orange Orange Pink Brown Pink Purple\nGreen Gray Red Yellow Orange Blue Orange Yellow Red Gray Green Purple Green Gray Red Yellow Orange\nBlack Black Black Black Orange Black Orange Black Black Black Black Orange Black Black Black Black Orange\nBlack Black Gray Black Black Black Black Black Gray Black Black Green Black Black Gray Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Purple Black Black Black\nBlack Black Black Purple Blue Brown Brown Brown Green Pink Green Black Black Black Black\nBlack Black Black Gray Black Black Red Brown Blue Pink Pink Black Black Black Black\nBlack Black Black Yellow Black Brown Brown Brown Brown Yellow Purple Red Black Black Black\nBlack Black Black Black Blue Purple Black Gray Pink Black Black Black Black Black Black\nBlack Black Black Orange Black Green Black Black Orange Blue Purple Blue Black Black Black\nBlack Black Black Black Gray Black Black Blue Brown Brown Purple Pink 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 Purple Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Green Black Purple\nPurple Blue Brown Brown Brown Green Pink Green Black\nGray Black Black Red Brown Blue Pink Pink Black\nYellow Black Brown Brown Brown Brown Yellow Purple Red\nBlack Blue Purple Black Gray Pink Black Black Black\nOrange Black Green Black Black Orange Blue Purple Blue\nBlack Gray Black Black Blue Brown Brown Purple Pink\nOrange Black Green Black Black Orange Blue Purple Blue\nBlack Blue Purple Black Gray Pink 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 Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Purple Red Pink Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Pink Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Orange Blue Gray Black Black Black Black Black Black\nBlack Black Black Black Black Blue Yellow Gray Gray Pink Black Black Black Black Black Black\nBlack Black Black Black Black Blue Pink Gray Gray Orange Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Gray Gray Pink Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Orange Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Green Purple Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Gray 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 Yellow Black Black Black Black Black Black Black Yellow Green Yellow Black Black Black Black\nPink Red Purple Blue Black Black Black Blue Purple Red Pink Red Purple Blue Black Black\nBlack Red Pink Black Gray Black Gray Black Pink Red Black Red Pink Black Gray Black\nBlack Gray Blue Orange Brown Black Brown Orange Blue Gray Black Gray Blue Orange Brown Black\nBlack Pink Gray Gray Yellow Blue Yellow Gray Gray Pink Black Pink Gray Gray Yellow Blue\nBrown Orange Gray Gray Pink Blue Pink Gray Gray Orange Brown Orange Gray Gray Pink Blue\nBlack Pink Gray Gray Brown Brown Brown Gray Gray Pink Black Pink Gray Gray Brown Brown\nBlack Black Gray Orange Black Gray Black Orange Gray Black Black Black Gray Orange Black Gray\nBrown Black Purple Green Yellow Black Yellow Green Purple Black Brown Black Purple Green Yellow Black\nBlack Gray Pink Black Black Black Black Black Pink Gray Black Gray Pink Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Purple Blue Gray Black Black Black\nBlack Black Black Black Black Brown Black Pink Black Black Pink Black Black Black\nBlack Black Black Black Yellow Orange Black Yellow Gray Gray Black Black Black Black\nBlack Black Black Black Black Blue Red Pink Black Orange Brown Black Black Black\nBlack Black Black Black Black Purple Yellow Blue Orange Black Black Black Black Black\nBlack Black Black Black Red Brown Pink Black Blue Purple Yellow Black Black Black\nBlack Black Black Black Black Red Green Black Black Purple Black Black Black Black\nBlack Black Black Black Blue Black Black Brown Purple Black Black Black Black Black\nBlack Black Black Black Orange Black Purple Yellow Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Pink Black Black Black Black Black Pink Purple Blue Gray\nBlack Pink Black Brown Black Brown Black Pink Black Black Pink\nGray Yellow Black Orange Yellow Orange Black Yellow Gray Gray Black\nBlack Pink Red Blue Black Blue Red Pink Black Orange Brown\nOrange Blue Yellow Purple Black Purple Yellow Blue Orange Black Black\nBlue Black Pink Brown Red Brown Pink Black Blue Purple Yellow\nBlack Black Green Red Black Red Green Black Black Purple Black\nPurple Brown Black Black Blue Black Black Brown Purple Black Black\nBlack Yellow Purple Black Orange Black Purple Yellow Black Pink Black\nPink Pink Black Black Black Black Black Pink Pink Brown Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Red Black Red Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Yellow Blue Black Black Black Black Black Black\nBlack Black Yellow Blue Red Black Black Black Black Black\nBlue Black Black Black Black Orange Black Black Black Black\nBlack Black Black Green Yellow Black Black Black Black Black\nBlack Black Orange Yellow Black Red Green Black Black Black\nBlue Black Black Black Black Black Black Blue Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\n\nOutput:\nBlack Green Black Green Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Orange Yellow Black Black Black Black Black Black\nBlack Black Orange Yellow Green Black Black Black Black Black\nYellow Black Black Black Black Red Black Black Black Black\nBlack Black Black Blue Orange Black Black Black Black Black\nBlack Black Red Orange Black Green Blue Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\n\n\nExample 2\nInput:\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 Blue Black Black Black Black Black\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 Red Black\nBlack Black Black Black Black Orange Black Black Black Black\nOrange Black Black Black Black Black Yellow Black Black Black\n\nOutput:\nBlack Black Black 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Red Black Black Black Black\nRed Black Black Black Black Black Orange Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Green Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\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 Blue Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black\n\nOutput:\nBlack Black Black Black Blue Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow 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 Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Green Black Black Black Yellow Black\nBlack Black Black Yellow Orange Black Black Blue Black Black\nRed Black Black Yellow Black Black Black Black Black Black\nBlack Red Green Black Black Green Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Orange\nBlue Black Black Black Red Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Orange\nBlack Black Black Black Orange Black Black Black Black Green\nRed Red Black Black Black Blue Black Black Black Black\nBlack Orange Black Orange Black Green Green Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Blue Black Black Black Orange Black\nBlack Black Black Orange Red Black Black Yellow Black Black\nGreen Black Black Orange Black Black Black Black Black Black\nBlack Green Blue Black Black Blue Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Red\nYellow Black Black Black Green Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Red\nBlack Black Black Black Red Black Black Black Black Blue\nGreen Green Black Black Black Yellow Black Black Black Black\nBlack Red Black Red Black Blue Blue Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow\nBlack Black Yellow Yellow\nYellow Yellow Yellow Yellow\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow\nBlack Black Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nBlack Black Yellow Yellow\nYellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Green Green Green\nBlack Black Green Green\nBlack Black Green Green\nGreen Black Green Green\nGreen Green Green Green\nGreen Green Green Green\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\nOutput:\nBlack Green Green Green\nBlack Black Green Green\nBlack Black Green Green\nGreen Black Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Black Green Green\nBlack Black Green Green\nBlack Black Green Green\nBlack Green Green Green\n\n\nExample 3\nInput:\nBlack Black Green Green Green\nBlack Green Green Green Green\nGreen Green Green Green Green\nGreen Black Green Green Black\nBlack Black Green Green Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Green Green Green\nBlack Green Green Green Green\nGreen Green Green Green Green\nGreen Black Green Green Black\nBlack Black Green Green Black\nBlack Black Green Green Black\nGreen Black Green Green Black\nGreen Green Green Green Green\nBlack Green Green Green Green\nBlack Black Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Black\nGray Gray Gray\nBlack Gray Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Black\nGray Gray Gray\nBlack Gray Black\nBlack Gray Black\nGray Gray Gray\nBlack Gray Black\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray 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 Red Black Black Black Black Black Red 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 Black Black Black Black Black Black Black Red 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 Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red 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 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 Black Black Black Black Black Black Red 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 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 Red 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 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 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\n\nOutput:\nGray 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 Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red 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\nRed Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nGray 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nPink Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink 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 Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nPink 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 Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow 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 Green Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Green Black Black Green Black Black Black Green Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Green 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\nGreen Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow 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:\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Red Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nPink Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nPink Black Black Black Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black\nPink Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Red Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black\nPink Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nPink Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Red Black Black Black Black Red Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nRed Red Red Red Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Red Black Black Black Black Black Black Red 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\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Red Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Black Black Black Black Red Black Black Black Black\nPink 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 Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray 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\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBrown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Brown Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Brown Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Gray Gray Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Green Green Green Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Green Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Green 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 Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Gray\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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black 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 Gray Gray\nBlack Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Gray Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Gray Black Black Black Black Black Black Black Gray Gray Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack 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\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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Black Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Black Black Black Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Black Yellow Black Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow\nBlack Yellow Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Black\nYellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Black Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Black Black Yellow Black Yellow\nBlack Yellow Yellow Black Black Yellow Black Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Gray Yellow Black\nBlack Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Black Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Pink Pink Pink Yellow Black Yellow Yellow Black Black Yellow\nYellow Black Yellow Black Yellow Black Black Yellow Yellow Yellow Pink Pink Pink Yellow Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Pink Pink Pink Black Yellow Yellow Yellow Yellow Black Yellow\nBlack Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow\nYellow Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Yellow\nYellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Gray Gray Yellow Yellow Yellow Black Black Black Yellow Yellow\nYellow Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Gray Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow\nYellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Black Black Black Yellow Yellow\nYellow Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Green Black Green Black Green Green Green Black Black Green Green Black Green Green Black Black Black Black Green\nGreen Black Green Black Black Green Green Green Black Black Green Black Green Green Green Black Green Green Black Black\nBlack Green Green Green Black Green Green Green Green Green Green Black Green Black Green Green Green Black Black Green\nGreen Green Black Black Green Green Green Black Green Green Green Black Black Black Green Black Black Green Green Green\nBlack Green Green Black Green Green Green Black Green Green Green Green Black Green Green Green Green Green Black Black\nGreen Green Green Black Green Green Black Green Green Green Green Green Green Green Green Green Black Green Green Green\nGreen Green Green Black Green Green Green Green Green Green Green Green Black Black Green Green Yellow Green Green Green\nGreen Green Black Black Green Green Green Green Black Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Green Green Green Green Green Black Green Green Black Black Green Green Black Green Green Green\nBlack Black Green Black Green Black Green Green Green Black Green Green Green Green Green Green Black Green Green Black\nBlack Green Green Black Green Green Black Black Green Black Green Green Black Black Green Green Green Black Green Green\nBlack Green Green Black Black Green Black Green Green Green Green Green Black Green Black Green Black Black Green Green\nGreen Green Green Green Green Green Black Green Green Green Green Green Black Green Green Green Black Green Green Green\nGreen Green Black Black Green Black Green Black Green Green Green Green Black Green Black Black Green Black Green Green\nBlack Black Green Green Black Green Black Green Green Green Black Green Green Black Black Green Green Green Green Green\nGreen Green Green Green Black Black Green Green Green Green Black Green Green Green Black Green Black Green Black Black\nBlack Green Green Green Black Green Green Black Green Green Black Green Green Black Green Green Green Green Green Green\nGreen Green Black Green Green Black Black Green Black Green Green Green Green Green Green Black Black Green Green Green\nGreen Black Green Green Green Green Black Green Green Green Green Green Green Green Green Green Green Black Green Green\nGreen Green Black Black Green Green Green Green Black Black Green Green Black Green Green Green Green Green Green Green\n\nOutput:\nBlack Green Black Green Black Green Green Green Black Black Green Green Black Green Green Black Black Black Black Green\nGreen Black Green Black Black Green Green Green Black Black Green Black Green Green Green Black Green Green Black Black\nBlack Green Green Green Black Green Green Green Green Green Green Black Green Black Green Green Green Black Black Green\nGreen Green Black Black Green Green Green Black Green Green Green Black Black Black Green Black Black Green Green Green\nBlack Green Green Black Green Green Green Black Green Green Green Green Black Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Green Green Yellow Green Green Green\nGreen 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 Black Black Green Green Black Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Green Green Black\nGreen Green Green Green Green Green Black Black Green Black Green Green Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Green Green Green Green Green Black Green Black Green Green Green Green Green\nGreen Green Green Green Green Green Black Green Green Green Green Green Black Green Green Green Green Green Green Green\nGreen Green Green Green Green Black Green Black Green Green Green Green Black Green Black Green Green Green Green Green\nGreen Green Green Green Green Green Black Green Green Green Black Green Green Black Black Green Green Green Green Green\nGreen Green Green Green Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green Black Green Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Black Black Black Green Green Green Green Green Green Black Green Green Green Black Green Green\nGreen Green Green Green Green Green Green Green Green Black Green Black Black Green Green Green Green Black Green Green\nBlack Green Black Black Black Green Black Green Green Black Green Green Black Green Green Pink Pink Pink Green Green\nBlack Green Black Green Green Green Green Black Green Green Green Green Green Green Black Pink Pink Pink Black Black\nBlack Green Green Black Black Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Green Green\nBlack Green Black Black Black Green Green Green Black Green Green Green Green Black Black Green Black Green Black Green\nGreen Black Green Green Green Black Green Black Green Black Black Green Green Black Green Green Green Green Green Green\nBlack Orange Orange Orange Black Black Green Green Black Black Black Black Green Green Green Green Black Black Green Green\nGreen Orange Orange Orange Black Black Green Green Green Green Black Green Black Green Green Green Green Green Black Black\nBlack Orange Orange Orange Green Black Green Black Green Green Green Green Black Black Green Green Green Green Black Green\nGreen Black Black Green Green Green Black Green Black Black Green Green Black Green Black Black Black Black Green Green\nGreen Green Black Green Green Green Black Green Green Green Green Black Green Green Green Black Green Green Green Green\nBlack Green Green Black Black Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green\nGreen Green Black Green Green Green Black Green Green Black Black Green Green Green Green Green Green Black Black Green\nGreen Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Green Green\nBlack Green Green Green Green Green Green Black Green Black Green Black Green Green Green Green Black Green Green Green\nBlack Green Black Green Green Black Green Black Green Green Green Green Black Green Black Black Green Green Black Green\nBlack Green Black Black Black Green Green Green Green Green Green Black Green Black Green Green Green Green Green Green\nBlack Black Black Green Green Black Green Green Green Black Green Black Green Black Green Green Green Green Black Black\n\nOutput:\nGreen 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\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Green Green Black Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Black Green Black Green Black Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Black Green Green Black Black Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Black Green Black Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Green Black Black Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Black 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\nGreen Green Green Green Green Green Black Green Green Black Green Green Green Green Green Green Green Green Green Green\nGreen Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Black Green Black Green Green Green Green Green Green Green Green Green Green\nBlack Green Black Green Green Black Green Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Green Green Black Green Green Green Black Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray Black\nGray Gray Gray Gray Gray Black Gray Gray Black Gray Black Gray Gray Gray Gray Black Gray Black Black Gray\nBlack Black Gray Black Gray Gray Gray Gray Gray Gray Black Black Gray Black Black Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Black Black Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray\nBlack Yellow Gray Gray Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Black Gray Gray Black Gray Gray\nBlack Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Black\nGray Black Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black Gray Black Black Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Black Gray Gray Gray Gray Gray Black Black Gray Gray Black Gray Gray Black Gray Gray Gray Gray\nBlack Gray Black Gray Black Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Black Gray Black Gray\nGray Gray Black Gray Black Gray Black Black Black Black Black Black Black Black Gray Gray Black Gray Gray Gray\nGray Black Gray Black Black Black Gray Gray Black Gray Black Gray Gray Gray Gray Gray Black Black Gray Black\nBlack Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Gray Gray Black\nGray Gray Gray Gray Gray Black Gray Yellow Yellow Yellow Gray Black Gray Black Black Gray Black Black Black Gray\nBlack Black Gray Gray Gray Gray Black Yellow Yellow Yellow Gray Black Gray Gray Gray Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray 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"
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"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray Black\nGray Gray Gray Gray Gray Black Gray Gray Black Gray Black Gray Gray Gray Gray Black Gray Black Black Gray\nBlack Black Gray Black Gray Gray Gray Gray Gray Gray Black Black Gray Black Black Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Black Black Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray\nBlack Yellow Gray Gray Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray 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\nGray 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\nGray 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\nGray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black\nBlack Black Black Purple Black Black Blue Black\nBlack Black Black Brown Black Black Orange Black\nBlack Black Blue Black Black Black Black Black\nBlack Black Blue 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 Blue Blue Black\nBlack Black Black Yellow Black Black Blue Black\nBlack Black Black Yellow Black Black Yellow Black\nBlack Black Blue Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Red Red Black Black\nBlack Black Brown Black Black Black Black\nBlack Black Brown Black Brown Brown Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black\nBlack Black Yellow Black Black Black Black\nBlack Black Yellow Black Yellow Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Green Blue Black Black\nBlack Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Blue Black Black\nBlack Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\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 Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black\nBlack 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 Yellow Pink Pink Blue Blue Green Green Purple Purple Black Black Purple Purple Green Green Blue Blue Pink Pink Yellow Yellow\nYellow Yellow Pink Pink Blue Blue Green Green Purple Purple Black Black Purple Purple Green Green Blue Blue Pink Pink Yellow Yellow\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Gray Gray Black Black Gray Gray Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Gray Gray Black Black Gray Gray Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPink Pink Purple Purple Gray Gray Brown Brown Blue Blue Black Black Blue Blue Brown Brown Gray Gray Purple Purple Pink Pink\nPink Pink Purple Purple Gray Gray Brown Brown Blue Blue Black Black Blue Blue Brown Brown Gray Gray Purple Purple Pink Pink\nGreen Green Orange Orange Purple Purple Gray Gray Pink Pink Black Black Pink Pink Gray Gray Purple Purple Orange Orange Green Green\nGreen Green Orange Orange Purple Purple Gray Gray Pink Pink Black Black Pink Pink Gray Gray Purple Purple Orange Orange Green Green\nPurple Purple Brown Brown Orange Orange Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple\nPurple Purple Brown Brown Orange Orange Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Purple Purple Yellow Yellow Gray Gray Brown Brown Black Black Brown Brown Gray Gray Yellow Yellow Purple Purple Black Black\nGreen Green Purple Purple Yellow Yellow Gray Gray Brown Brown Black Black Brown Brown Gray Gray Yellow Yellow Purple Purple Black Black\nOrange Orange Blue Blue Purple Purple Green Green Green Green Black Black Green Green Green Green Purple Purple Blue Blue Orange Orange\nOrange Orange Blue Blue Purple Purple Green Green Green Green Black Black Green Green Green Green Purple Purple Blue Blue Orange Orange\nPurple Purple Red Red Orange Orange Orange Orange Green Green Black Black Green Green Orange Orange Orange Orange Red Red Purple Purple\nPurple Purple Red Red Orange Orange Orange Orange Green Green Black Black Green Green Orange Orange Orange Orange Red Red Purple Purple\nPink Pink Gray Gray Purple Purple Orange Orange Yellow Yellow Black Black Yellow Yellow Orange Orange Purple Purple Gray Gray Pink Pink\nPink Pink Gray Gray Purple Purple Orange Orange Yellow Yellow Black Black Yellow Yellow Orange Orange Purple Purple Gray Gray Pink Pink\nBrown Brown Orange Orange Gray Gray Orange Orange Blue Blue Black Black Blue Blue Orange Orange Gray Gray Orange Orange Brown Brown\nBrown Brown Orange Orange Gray Gray Orange Orange Blue Blue Black Black Blue Blue Orange Orange Gray Gray Orange Orange Brown Brown\nBrown Brown Green Green Green Green Orange Orange Orange Orange Black Black Orange Orange Orange Orange Green Green Green Green Brown Brown\nBrown Brown Green Green Green Green Orange Orange Orange Orange Black Black Orange Orange Orange Orange Green Green Green Green Brown Brown\nBrown Brown Purple Purple Gray Gray Pink Pink Orange Orange Black Black Orange Orange Pink Pink Gray Gray Purple Purple Brown Brown\nBrown Brown Purple Purple Gray Gray Pink Pink Orange Orange Black Black Orange Orange Pink Pink Gray Gray Purple Purple Brown Brown\nPurple Purple Orange Orange Pink Pink Yellow Yellow Pink Pink Black Black Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nPurple Purple Orange Orange Pink Pink Yellow Yellow Pink Pink Black Black Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Black Black Purple Purple Green Green Blue Blue Pink Pink Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Black Black Purple Purple Green Green Blue Blue Pink Pink Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Black Black Gray Gray Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Black Black Gray Gray Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Black Black Blue Blue Brown Brown Gray Gray Purple Purple Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Black Black Blue Blue Brown Brown Gray Gray Purple Purple Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Black Black Pink Pink Gray Gray Purple Purple Orange Orange Green Green\nGreen Green Green Green Green Green Green Green Green Green Black Black Pink Pink Gray Gray Purple Purple Orange Orange Green Green\nGreen Green Green Green Green Green Green Green Green Green Black Black Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Black Black Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Black Black Brown Brown Gray Gray Yellow Yellow Purple Purple Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Brown Brown Gray Gray Yellow Yellow Purple Purple Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Green Green Green Green Purple Purple Blue Blue Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Black Black Green Green Green Green Purple Purple Blue Blue Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Black Black Green Green Orange Orange Orange Orange Red Red Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Black Black Green Green Orange Orange Orange Orange Red Red Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Black Black Yellow Yellow Orange Orange Purple Purple Gray Gray Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Black Black Yellow Yellow Orange Orange Purple Purple Gray Gray Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Black Black Blue Blue Orange Orange Gray Gray Orange Orange Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Black Black Blue Blue Orange Orange Gray Gray Orange Orange Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Black Black Orange Orange Orange Orange Green Green Green Green Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Black Black Orange Orange Orange Orange Green Green Green Green Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Black Black Orange Orange Pink Pink Gray Gray Purple Purple Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Black Black Orange Orange Pink Pink Gray Gray Purple Purple Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Black Black Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Black Black Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\n\n\nExample 2\nInput:\nOrange Orange Yellow Yellow Brown Brown Gray Gray Gray Gray Orange Orange Black Black Orange Orange Gray Gray Gray Gray Brown Brown Yellow Yellow Orange Orange\nOrange Orange Yellow Yellow Brown Brown Gray Gray Gray Gray Orange Orange Black Black Orange Orange Gray Gray Gray Gray Brown Brown Yellow Yellow Orange Orange\nYellow Yellow Purple Purple Pink Pink Orange Orange Red Red Pink Pink Black Black Pink Pink Red Red Orange Orange Pink Pink Purple Purple Yellow Yellow\nYellow Yellow Purple Purple Pink Pink Orange Orange Red Red Pink Pink Black Black Pink Pink Red Red Orange Orange Pink Pink Purple Purple Yellow Yellow\nPurple Purple Red Red Purple Purple Gray Gray Pink Pink Gray Gray Black Black Gray Gray Pink Pink Gray Gray Purple Purple Red Red Purple Purple\nPurple Purple Red Red Purple Purple Gray Gray Pink Pink Gray Gray Black Black Gray Gray Pink Pink Gray Gray Purple Purple Red Red Purple Purple\nOrange Orange Blue Blue Black Black Red Red Black Black Blue Blue Black Black Blue Blue Pink Pink Red Red Green Green Blue Blue Orange Orange\nOrange Orange Blue Blue Black Black Red Red Black Black Blue Blue Black Black Blue Blue Pink Pink Red Red Green Green Blue Blue Orange Orange\nOrange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink Black Black Pink Pink Purple Purple Purple Purple Blue Blue Yellow Yellow Orange Orange\nOrange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink Black Black Pink Pink Purple Purple Purple Purple Blue Blue Yellow Yellow Orange Orange\nBrown Brown Pink Pink Green Green Green Green Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown\nBrown Brown Pink Pink Green Green Green Green Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown\nPurple Purple Brown Brown Pink Pink Orange Orange Blue Blue Orange Orange Black Black Orange Orange Blue Blue Orange Orange Pink Pink Brown Brown Purple Purple\nPurple Purple Brown Brown Pink Pink Orange Orange Blue Blue Orange Orange Black Black Orange Orange Blue Blue Orange Orange Pink Pink Brown Brown Purple Purple\nPurple Purple Brown Brown Gray Gray Brown Brown Brown Brown Purple Purple Black Black Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple\nPurple Purple Brown Brown Gray Gray Brown Brown Brown Brown Purple Purple Black Black Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple\nBlue Blue Gray Gray Red Red Orange Orange Brown Brown Blue Blue Black Black Blue Blue Brown Brown Orange Orange Red Red Gray Gray Blue Blue\nBlue Blue Gray Gray Red Red Orange Orange Brown Brown Blue Blue Black Black Blue Blue Brown Brown Orange Orange Red Red Gray Gray Blue Blue\nOrange Orange Yellow Yellow Blue Blue Red Red Green Green Pink Pink Black Black Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nOrange Orange Yellow Yellow Blue Blue Red Red Green Green Pink Pink Black Black Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Orange Orange Gray Gray Gray Gray Brown Brown Yellow Yellow Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Orange Orange Gray Gray Gray Gray Brown Brown Yellow Yellow Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Pink Pink Red Red Orange Orange Pink Pink Purple Purple Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Pink Pink Red Red Orange Orange Pink Pink Purple Purple Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Gray Gray Pink Pink Gray Gray Purple Purple Red Red Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Gray Gray Pink Pink Gray Gray Purple Purple Red Red Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Blue Blue Pink Pink Red Red Green Green Blue Blue Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Blue Blue Pink Pink Red Red Green Green Blue Blue Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Pink Pink Purple Purple Purple Purple Blue Blue Yellow Yellow Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Pink Pink Purple Purple Purple Purple Blue Blue Yellow Yellow Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Orange Orange Blue Blue Orange Orange Pink Pink Brown Brown Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Orange Orange Blue Blue Orange Orange Pink Pink Brown Brown Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Purple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Blue Blue Brown Brown Orange Orange Red Red Gray Gray Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Blue Blue Brown Brown Orange Orange Red Red Gray Gray Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\n\n\nExample 3\nInput:\nBlue Blue Orange Orange Green Green Gray Gray Blue Blue Green Green Blue Blue Blue Blue Green Green Blue Blue Gray Gray Green Green Orange Orange Blue Blue\nBlue Blue Orange Orange Green Green Gray Gray Blue Blue Green Green Blue Blue Blue Blue Green Green Blue Blue Gray Gray Green Green Orange Orange Blue Blue\nBlue Blue Orange Orange Yellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Purple Purple Pink Pink Brown Brown Brown Brown Yellow Yellow Orange Orange Blue Blue\nBlue Blue Orange Orange Yellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Purple Purple Pink Pink Brown Brown Brown Brown Yellow Yellow Orange Orange Blue Blue\nBlue Blue Green Green Yellow Yellow Green Green Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Green Green Yellow Yellow Green Green Blue Blue\nBlue Blue Green Green Yellow Yellow Green Green Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Green Green Yellow Yellow Green Green Blue Blue\nBlue Blue Purple Purple Orange Orange Purple Purple Red Red Brown Brown Green Green Green Green Brown Brown Red Red Purple Purple Orange Orange Purple Purple Blue Blue\nBlue Blue Purple Purple Orange Orange Purple Purple Red Red Brown Brown Green Green Green Green Brown Brown Red Red Purple Purple Orange Orange Purple Purple Blue Blue\nBrown Brown Pink Pink Blue Blue Gray Gray Green Green Black Black Blue Blue Blue Blue Gray Gray Green Green Gray Gray Blue Blue Pink Pink Brown Brown\nBrown Brown Pink Pink Blue Blue Gray Gray Green Green Black Black Blue Blue Blue Blue Gray Gray Green Green Gray Gray Blue Blue Pink Pink Brown Brown\nPurple Purple Orange Orange Gray Gray Pink Pink Black Black Brown Brown Yellow Yellow Yellow Yellow Brown Brown Purple Purple Pink Pink Gray Gray Orange Orange Purple Purple\nPurple Purple Orange Orange Gray Gray Pink Pink Black Black Brown Brown Yellow Yellow Yellow Yellow Brown Brown Purple Purple Pink Pink Gray Gray Orange Orange Purple Purple\nBrown Brown Green Green Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange Green Green Brown Brown\nBrown Brown Green Green Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange Green Green Brown Brown\nPurple Purple Yellow Yellow Orange Orange Green Green Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Purple Purple\nPurple Purple Yellow Yellow Orange Orange Green Green Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Purple Purple\nOrange Orange Purple Purple Pink Pink Orange Orange Gray Gray Pink Pink Blue Blue Blue Blue Pink Pink Gray Gray Orange Orange Pink Pink Purple Purple Orange Orange\nOrange Orange Purple Purple Pink Pink Orange Orange Gray Gray Pink Pink Blue Blue Blue Blue Pink Pink Gray Gray Orange Orange Pink Pink Purple Purple Orange Orange\nGray Gray Brown Brown Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\nGray Gray Brown Brown Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Green Green Blue Blue Gray Gray Green Green Orange Orange Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Green Green Blue Blue Gray Gray Green Green Orange Orange Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Pink Pink Brown Brown Brown Brown Yellow Yellow Orange Orange Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Pink Pink Brown Brown Brown Brown Yellow Yellow Orange Orange Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Blue Blue Green Green Yellow Yellow Green Green Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Blue Blue Green Green Yellow Yellow Green Green Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Red Red Purple Purple Orange Orange Purple Purple Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Red Red Purple Purple Orange Orange Purple Purple Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Gray Gray Green Green Gray Gray Blue Blue Pink Pink Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Gray Gray Green Green Gray Gray Blue Blue Pink Pink Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Brown Brown Purple Purple Pink Pink Gray Gray Orange Orange Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Brown Brown Purple Purple Pink Pink Gray Gray Orange Orange Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange Green Green Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange Green Green Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Purple Purple Green Green Orange Orange Yellow Yellow Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Pink Pink Gray Gray Orange Orange Pink Pink Purple Purple Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Pink Pink Gray Gray Orange Orange Pink Pink Purple Purple Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Blue Blue Red Red Yellow Yellow Orange Orange Blue Blue Blue Blue Orange Orange Yellow Yellow Red Red Blue Blue Purple Purple\nPurple Purple Blue Blue Red Red Yellow Yellow Orange Orange Blue Blue Blue Blue Orange Orange Yellow Yellow Red Red Blue Blue Purple Purple\nPink Pink Blue Blue Yellow Yellow Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Yellow Yellow Blue Blue Pink Pink\nPink Pink Blue Blue Yellow Yellow Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Yellow Yellow Blue Blue Pink Pink\nPurple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Blue Blue Yellow Yellow Brown Brown Orange Orange Brown Brown Purple Purple\nPurple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Blue Blue Yellow Yellow Brown Brown Orange Orange Brown Brown Purple Purple\nPurple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple Purple Purple Red Red Green Green Blue Blue Yellow Yellow Purple Purple\nPurple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple Purple Purple Red Red Green Green Blue Blue Yellow Yellow Purple Purple\nBlack Black Green Green Green Green Brown Brown Orange Orange Purple Purple Purple Purple Orange Orange Brown Brown Green Green Green Green Pink Pink\nBlack Black Green Green Green Green Brown Brown Orange Orange Purple Purple Purple Purple Orange Orange Brown Brown Green Green Green Green Pink Pink\nYellow Yellow Purple Purple Green Green Gray Gray Orange Orange Red Red Red Red Orange Orange Gray Gray Green Green Purple Purple Yellow Yellow\nYellow Yellow Purple Purple Green Green Gray Gray Orange Orange Red Red Red Red Orange Orange Gray Gray Green Green Purple Purple Yellow Yellow\nBrown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange Orange Orange Blue Blue Orange Orange Purple Purple Red Red Brown Brown\nBrown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange Orange Orange Blue Blue Orange Orange Purple Purple Red Red Brown Brown\nOrange Orange Pink Pink Gray Gray Blue Blue Red Red Pink Pink Pink Pink Red Red Blue Blue Gray Gray Pink Pink Orange Orange\nOrange Orange Pink Pink Gray Gray Blue Blue Red Red Pink Pink Pink Pink Red Red Blue Blue Gray Gray Pink Pink Orange Orange\nPink Pink Purple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown Purple Purple Pink Pink\nPink Pink Purple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Blue Blue Yellow Yellow Brown Brown Purple Purple Pink Pink\nPink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Brown Brown Brown Brown Pink Pink\nPink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Brown Brown Brown Brown Pink Pink\nBrown Brown Blue Blue Pink Pink Gray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray Pink Pink Blue Blue Brown Brown\nBrown Brown Blue Blue Pink Pink Gray Gray Pink Pink Gray Gray Gray Gray Pink Pink Gray Gray Pink Pink Blue Blue Brown Brown\nPink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nPink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Gray Gray Brown Brown Pink Pink Green Green Gray Gray 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```\nGreen Green Green Green Green Green Green Green Green Green Green Green Blue Blue Orange Orange Yellow Yellow Red Red Blue Blue Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Blue Blue Orange Orange Yellow Yellow Red Red Blue Blue Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Red Red Gray Gray Gray Gray Yellow Yellow Blue Blue Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Red Red Gray Gray Gray Gray Yellow Yellow Blue Blue Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Blue Blue Yellow Yellow Brown Brown Orange Orange Brown Brown Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Blue Blue Yellow Yellow Brown Brown Orange Orange Brown Brown Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Purple Purple Red Red Green Green Blue Blue Yellow Yellow Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Purple Purple Red Red Green Green Blue Blue Yellow Yellow Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Purple Purple Orange Orange Brown Brown Green Green Green Green Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Purple Purple Orange Orange Brown Brown Green Green Green Green Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Red Red Orange Orange Gray Gray Green Green Purple Purple Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Red Red Orange Orange Gray Gray Green Green Purple Purple Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Blue Blue Orange Orange Purple Purple Red Red Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Blue Blue Orange Orange Purple Purple Red Red Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Green Green Pink Pink Red Red Blue Blue Gray Gray Pink Pink Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Pink Pink Red Red Blue Blue Gray Gray Pink Pink Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Blue Blue Yellow Yellow Brown Brown Purple Purple Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Orange Blue Blue Yellow Yellow Brown Brown Purple Purple Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink Orange Orange Brown Brown Brown Brown Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink Orange Orange Brown Brown Brown Brown Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Gray Gray Pink Pink Gray Gray Pink Pink Blue Blue Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Green Green Gray Gray Pink Pink Gray Gray Pink Pink Blue Blue Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Green Green Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Red Red Red Red Black Red Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Red Black Red Red Black Red Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Red Black Red Red Black Red Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Red Black Black Black Black Red Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Red Black Black Black Black Red Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Red Red Red Red Red Red Black Black Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Black Black Red Red Red Red Red Red Red Red\nBlack Black Red Red Black Black Red Red Red Red Black Black Red Red Black Black Red Red Red Red\nBlack Black Red Red Black Black Red Red Red Red Black Black Red Red Black Black Red Red Red Red\nRed Red Red Red Black Black Red Red Red Red Red Red Red Red Black Black Red Red Red Red\nRed Red Red Red Black Black Red Red Red Red Red Red Red Red Black Black Red Red Red Red\nRed Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Black Black Red Red Red Red Red Red Red Red\nBlack Black Red Red Black Black Red Red Red Red Black Black Red Red Black Black Red Red Red Red\nBlack Black Red Red Black Black Red Red Red Red Black Black Red Red Black Black Red Red Red Red\nRed Red Red Red Black Black Red Red Red Red Red Red Red Red Black Black Red Red Red Red\nRed Red Red Red Black Black Red Red Red Red Red Red Red Red Black Black Red Red Red Red\nRed Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\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\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\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue\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\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\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue\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 Blue Blue Blue Blue Blue Blue Purple\nYellow Brown Brown Brown Brown Black Black Purple\nYellow Brown Brown Brown Brown Black Black Purple\nYellow Brown Brown Brown Brown Brown Brown Purple\nYellow Brown Brown Brown Brown Brown Brown Purple\nYellow Brown Brown Brown Brown Brown Brown Purple\nYellow Black Brown Brown Brown Brown Brown Purple\nYellow Brown Brown Brown Brown Brown Brown Purple\n\nOutput:\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Purple\nYellow Brown Brown Brown Brown Brown Black Black Brown Purple\nYellow Brown Brown Brown Brown Brown Black Black Brown Purple\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Purple\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Purple\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Purple\nYellow Brown Black Brown Brown Brown Brown Brown Brown Purple\nYellow Brown Brown Brown Brown Brown Brown Brown Brown Purple\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Black\n\n\nExample 2\nInput:\nOrange Purple Purple Purple Purple Purple Pink\nOrange Brown Brown Brown Brown Brown Pink\nOrange Brown Brown Brown Brown Brown Pink\nOrange Brown Brown Brown Brown Brown Pink\nOrange Brown Brown Brown Brown Brown Pink\nOrange Black Brown Brown Brown Black Pink\nOrange Green Green Green Green Green Pink\n\nOutput:\nBlack Purple Purple Purple Purple Purple Purple Purple Black\nOrange Green Green Green Green Green Green Green Pink\nOrange Green Green Green Green Green Green Green Pink\nOrange Green Green Green Green Green Green Green Pink\nOrange Green Green Green Green Green Green Green Pink\nOrange Green Green Green Green Green Green Green Pink\nOrange Green Black Green Green Green Black Green Pink\nOrange Green Green Green Green Green Green Green Pink\nBlack Green Green Green Green Green Green Green Black\n\n\nExample 3\nInput:\nPink Green Green Green Green Green Green Green Blue\nPink Black Purple Purple Purple Purple Purple Purple Blue\nPink Purple Purple Purple Purple Black Black Black Blue\nPink Purple Purple Black Purple Purple Black Black Blue\nPink Purple Purple Black Black Black Black Black Blue\nPink Purple Purple Black Black Black Black Black Blue\nPink Gray Gray Gray Gray Gray Gray Gray Blue\n\nOutput:\nBlack Green Green Green Green Green Green Green Green Green Black\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nPink Gray Black Gray Gray Gray Gray Gray Gray Gray Blue\nPink Gray Gray Gray Gray Gray Black Black Black Gray Blue\nPink Gray Gray Gray Black Gray Gray Black Black Gray Blue\nPink Gray Gray Gray Black Black Black Black Black Gray Blue\nPink Gray Gray Gray Black Black Black Black Black Gray Blue\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nBrown Gray Gray Gray Gray Gray Gray Gray Purple\nBrown Black Black Red Red Black Black Black Purple\nBrown Black Red Red Red Black Red Black Purple\nBrown Black Black Red Red Red Red Red Purple\nBrown Red Red Red Red Red Red Red Purple\nBrown Red Red Red Red Red Black Black Purple\nBrown Black Red Black Red Red Red Black Purple\nBrown Black Black Black Red Red Black Black Purple\nBrown Red Red Red Red Red Red Red Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBrown Red Red Red Red Red Red Red Red Red Purple\nBrown Red Black Black Red Red Black Black Black Red Purple\nBrown Red Black Red Red Red Black Red Black Red Purple\nBrown Red Black Black Red Red Red Red Red Red Purple\nBrown Red Red Red Red Red Red Red Red Red Purple\nBrown Red Red Red Red Red Red Black Black Red Purple\nBrown Red Black Red Black Red Red Red Black Red Purple\nBrown Red Black Black Black Red Red Black Black Red Purple\nBrown Red Red Red Red Red Red Red Red Red Purple\nBlack Red Red Red Red Red Red Red Red Red Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Pink Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Purple Black\nYellow Black Black Brown Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Black Black Black Black Black Green Black Black\nBlack Black Black Pink Black Black Black Black Black Pink Black Black\nBlack Black Black Green Black Black Black Black Black Green Black Black\nBlack Black Black Green Black Black Black Black Black Green Black Black\nBlack Black Black Green Green Black Black Black Black Green Green Black\nGreen Black Black Green Purple Black Green Black Black Green Purple Black\nYellow Black Black Brown Green Black Yellow Black Black Brown Green Black\nGreen Black Black Green Green Black Green Black Black Green Green Black\nGreen Black Black Green Green Black Green Black Black Green Green Black\nGreen Black Black Pink Green Black Green Black Black Pink Green Black\nGreen Black Black Green Green Black Green Black Black Green Green Black\nGreen Black Black Green Green Black Green Black Black Green Green Black\nGreen Black Black Green Green Black Green Black Black Green Green Black\nGreen Black Black Green Purple Black Green Black Black Green Purple Black\nYellow Black Black Brown Green Black Yellow Black Black Brown Green Black\nGreen Black Black Green Green Black Green Black Black Green Green Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Blue Black Blue Black Black Black\nBlack Black Black Black Black Red Black Black\nBlack 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 Green Black Green Black Black Black Black Black Green Black Green Black Black Black\nBlack Black Blue Black Blue Green Black Black Black Black Blue Black Blue Green Black Black\nBlack Black Green Black Green Red Black Black Black Black Green Black Green Red Black Black\nBlack Black Green Black Green Green Black Black Black Black Green Black Green Green Black Black\nBlack Black Green Black Green Green Black Black Black Black Green Black Green Green Black Black\nBlack Black Green Black Green Green Black Black Black Black Green Black Green Green Black Black\nBlack Black Blue Black Blue Green Black Black Black Black Blue Black Blue Green Black Black\nBlack Black Green Black Green Red Black Black Black Black Green Black Green Red Black Black\nBlack Black Green Black Green Green Black Black Black Black Green Black Green Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Green 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 Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Green Green Black Black Black Black\nBlack Green Gray Black Black Black Black Black Green Gray Black Black Black Black\nBlack Green Green Black Black Black Black Black Green Green Black Black Black Black\nBlack Green Green Black Black Black Black Black Green Green Black Black Black Black\nBlack Green Green Black Black Black Black Black Green Green Black Black Black Black\nBlack Brown Green Black Black Black Black Black Brown Green Black Black Black Black\nBlack Green Green Black Black Black Black Black Green Green Black Black Black Black\nBlack Green Green Black Black Black Black Black Green Green Black Black Black Black\nBlack Green Gray Black Black Black Black Black Green Gray Black Black Black Black\nBlack Green Green Black Black Black Black Black Green 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:\nYellow Purple Orange Pink Purple\nPink Brown Purple Gray Purple\nOrange Brown Green Green Purple\nOrange Brown Orange Gray Purple\nBlue Pink Gray Purple Purple\n\nOutput:\nBlack Black Black Black Gray\nBlack Black Black Black Gray\nBlack Black Black Black Gray\nBlack Black Black Black Gray\nBlack Black Black Black Gray\n\n\nExample 2\nInput:\nPink Pink Pink Pink Pink\nRed Green Pink Blue Gray\nRed Orange Brown Blue Purple\nBrown Gray Brown Brown Purple\nPurple Brown Pink Orange Blue\n\nOutput:\nGray Gray Gray Gray Gray\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nGreen Orange Gray Brown Yellow\nYellow Red Green Blue Orange\nPurple Pink Orange Gray Pink\nGray Gray Gray Gray Gray\nPurple Blue Blue Brown Green\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nGray Gray Gray Gray Gray\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Pink Gray Green\nGray Gray Gray Gray Gray\nPink Gray Pink Gray Pink\nBrown Brown Orange Pink Pink\nPink Purple Brown Yellow Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nGray Gray Gray Gray Gray\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Green Black Green Black Black Red Black Black Black Green Yellow\nBlack Blue Green Black Blue Yellow Black Red Green Black Black Black\nBlack Green Red Black Blue Green Black Black Black Red Green Green\nBlue Black Yellow Black Black Black Black Green Blue Black Red Blue\nBlack Green Yellow Black Blue Red Yellow Black Black Blue Black Black\nBlack Black Red Yellow Black Black Black Red Black Black Green Blue\nBlue Blue Red Blue Black Green Black Red Yellow Black Black Blue\nBlack Black Blue Black Blue Yellow Black Black Black Red Black Black\n\nOutput:\nBlack Blue Black Blue Black Black Green Black Black Black Blue Red\nBlack Yellow Blue Black Yellow Red Black Green Blue Black Black Black\nBlack Blue Green Black Yellow Blue Black Black Black Green Blue Blue\nYellow Black Red Black Black Black Black Blue Yellow Black Green Yellow\nBlack Blue Red Black Yellow Green Red Black Black Yellow Black Black\nBlack Black Green Red Black Black Black Green Black Black Blue Yellow\nYellow Yellow Green Yellow Black Blue Black Green Red Black Black Yellow\nBlack Black Yellow Black Yellow Red Black Black Black Green Black Black\n\n\nExample 2\nInput:\nGreen Red Black Blue Blue Blue Black Blue Black Black\nBlack Black Green Black Green Black Black Black Black Black\nBlack Black Blue Yellow Black Yellow Black Green Red Green\nBlack Yellow Black Blue Black Black Blue Black Black Green\nBlack Black Black Blue Blue Black Red Black Black Black\nBlack Red Yellow Black Blue Blue Red Red Blue Black\nBlack Black Black Green Blue Yellow Black Green Black Black\n\nOutput:\nBlue Green Black Yellow Yellow Yellow Black Yellow Black Black\nBlack Black Blue Black Blue Black Black Black Black Black\nBlack Black Yellow Red Black Red Black Blue Green Blue\nBlack Red Black Yellow Black Black Yellow Black Black Blue\nBlack Black Black Yellow Yellow Black Green Black Black Black\nBlack Green Red Black Yellow Yellow Green Green Yellow Black\nBlack Black Black Blue Yellow Red Black Blue Black Black\n\n\nExample 3\nInput:\nYellow Black Black Red Blue Black Black Black Black Yellow Black\nBlack Red Green Yellow Black Black Yellow Red Black Yellow Green\nYellow Black Green Black Black Black Black Red Black Red Black\nBlack Black Black Black Yellow Black Black Green Yellow Yellow Black\nBlack Black Black Blue Red Black Green Red Black Red Black\nBlack Black Black Blue Blue Yellow Red Black Black Black Black\nYellow Black Black Yellow Red Red Yellow Yellow Green Yellow Black\n\nOutput:\nRed Black Black Green Yellow Black Black Black Black Red Black\nBlack Green Blue Red Black Black Red Green Black Red Blue\nRed Black Blue Black Black Black Black Green Black Green Black\nBlack Black Black Black Red Black Black Blue Red Red Black\nBlack Black Black Yellow Green Black Blue Green Black Green Black\nBlack Black Black Yellow Yellow Red Green Black Black Black Black\nRed Black Black Red Green Green Red Red Blue Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Black Red Black Black Black Black Red\nRed Black Blue Black Yellow Yellow Black Green Black\nGreen Blue Black Yellow Black Yellow Red Black Black\nBlack Black Black Black Blue Black Yellow Black Black\nRed Yellow Red Green Black Red Black Red Black\nBlack Blue Black Black Green Black Black Green Black\nRed Black Green Black Green Yellow Red Green Black\nRed Blue Black Blue Black Green Red Blue Yellow\nBlack Red Red Yellow Black Blue Black Black Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Green Black Green Black Black Black Black Green\nGreen Black Yellow Black Red Red Black Blue Black\nBlue Yellow Black Red Black Red Green Black Black\nBlack Black Black Black Yellow Black Red Black Black\nGreen Red Green Blue Black Green Black Green Black\nBlack Yellow Black Black Blue Black Black Blue Black\nGreen Black Blue Black Blue Red Green Blue Black\nGreen Yellow Black Yellow Black Blue Green Yellow Red\nBlack Green Green Red Black Yellow 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 Blue Black Black Blue Black Black Blue Blue Black Black Black Blue Black Black Black\nBlack Black Blue Black Blue Blue Black Blue Black Blue Black Blue Black Blue Black Black Blue Blue\nBlack Blue Blue Blue Black Black Black Blue Black Black Blue Blue Black Blue Black Blue Black Blue\nBlack Black Blue Blue Black Blue Black Black Blue Blue Black Black Blue Blue Black Black Black Blue\nBlue Black Black Blue Blue Black Black Blue Black Black Blue Black Black Blue Black Black Black Blue\nBlue Black Black Black Blue Blue Blue Blue Blue Black Blue Blue Black Black Black Blue Black Blue\nBlack Black Black Black Black Black Blue Black Blue Blue Blue Blue Blue Black Blue Blue Black Blue\nBlack Black Blue Black Black Blue Blue Black Blue Black Black Black Black Blue Black Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Blue Black Blue Black\nBlack Blue Black Black Black Blue Black Blue Black Black Black Black Black Black Blue Black Black Black\nBlue Black Black Blue Black Black Blue Black Black Black Blue Black Blue Black Black Black Black Black\nBlue Black Black Black Black Black Blue Black Blue Blue Black Black Black Blue Black Blue Black Blue\nBlue Black Black Blue Blue Blue Black Blue Black Black Blue Blue Black Black Black Blue Black Blue\nBlack Blue Black Blue Black Blue Black Blue Black Black Black Black Black Black Black Black Blue Blue\nBlue Black Black Blue Black Black Black Black Blue Blue Black Black Blue Black Blue Black Black Black\nBlue Black Black Blue Blue Black Black Blue Black Blue Blue Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Blue Black Blue Black Black Black Blue Blue Black Black Blue Black Black Black Blue Black Black\nBlue Black Black Blue Blue Black Black Black Blue Black Black Blue Black Black Black Black Black Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Blue Black Black Blue Black Black Black Black Black Black Blue\nBlack Black Blue Black Blue Blue Black Black Black Black Blue Black Black Blue Black Blue\nBlue Black Blue Black Blue Black Black Black Blue Black Black Blue Black Blue Black Black\nBlue Blue Blue Black Blue Blue Black Black Black Black Blue Blue Black Blue Black Black\nBlack Blue Blue Blue Black Blue Black Blue Blue Black Black Blue Blue Black Black Blue\nBlack Black Black Black Black Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black\nBlack Blue Blue Black Blue Black Black Black Black Blue Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue Blue\nBlack Blue Black Blue Black Black Blue Black Blue Blue Blue Black Black Black Black Blue\nBlack Blue Blue Black Black Black Blue Black Blue Black Blue Black Black Blue Blue Blue\nBlue Blue Black Black Black Blue Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\n\n\nExample 3\nInput:\nBlack Black Black Blue Blue Black Blue Black Blue Black Blue Black Blue Black Black\nBlue Black Black Black Black Blue Black Black Black Black Blue Blue Black Black Blue\nBlack Blue Black Black Black Black Blue Blue Black Blue Blue Black Black Black Black\nBlack Blue Black Black Black Black Black Blue Black Black Black Blue Blue Blue Blue\nBlack Black Blue Black Black Blue Blue Blue Black Blue Black Blue Black Black Black\nBlack Black Black Blue Blue Black Black Blue Black Blue Blue Blue Black Black Black\nBlue Black Blue Black Black Blue Black Black Black Black Black Blue Black Blue Black\nBlue Blue Black Black Blue Black Black Blue Blue Black Blue Black Blue Black Blue\nBlack Black Black Blue Black Blue Black Blue Blue Blue Black Blue Blue Black Black\nBlack Blue Black Black Blue Blue Blue Black Black Blue Black Black Black Black Blue\nBlue Black Blue Black Black Black Blue Blue Blue Black Black Blue Blue Black Black\nBlue Blue Blue Black Blue Black Black Black Blue Black Blue Black Blue Black Blue\nBlack Blue Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Blue Blue Blue Black Black Black Black Blue Black Blue Blue Black Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue Blue Black Blue Black Black Black Blue\nBlack Blue Blue Blue Blue Blue Black Black Blue Blue Black\nBlue Black Blue Black Black Blue Black Blue Black Black Black\nBlue Blue Black Black Black Blue Black Blue Blue Black Black\nBlue Blue Black Blue Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Blue Blue Blue Black\nBlack Black Black Black Blue Blue Black Blue Black Blue Black\nBlue Blue Black Black Black Black Blue Black Blue Black Blue\nBlue Black Blue Black Blue Black Black Black Black Black Blue\nBlack Black Blue Blue Black Blue Black Black Black Black Blue\nBlack Blue Blue Blue Blue Black Blue Blue Black Blue Black\nBlack Black Blue Black Blue Black Black Black Black Blue Blue\nBlue Black Blue Black Black Black Black Blue Blue Blue Black\nBlue Blue Blue Blue Blue Black Black Blue Black Black Black\nBlack Black Blue Black Black Blue Black Black Blue Blue Blue\nBlack Black Black Black Blue Blue Black Black Blue Blue Black\nBlack Blue Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Blue Black Black\nBlack Black Blue Black Black Black Black Blue Black Black Black\nBlack Blue Black Black Blue Blue Black Black Black Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Pink Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Pink Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Pink Pink Pink Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Pink\nBrown Brown Brown Brown Brown Brown Brown Pink Pink Pink\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 Purple Purple Purple Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Red Brown Orange Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Red Brown Orange Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Red Red Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow\nBlue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Pink Pink Brown Brown Gray Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Gray Gray Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Brown\nBlack Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray 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:\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\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:\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n\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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n\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 Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray 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:\nGray Purple Gray Green Yellow Blue\nPink Orange Green Gray Green Green\nBrown Pink Yellow Green Purple Red\nBrown Green Orange Purple Gray Purple\nGreen Purple Blue Red Red Yellow\nOrange Blue Pink Brown Brown Gray\nPink Gray Yellow Red Gray Gray\nBrown Yellow Red Purple Brown Orange\n\nOutput:\nGreen Pink Orange Green Gray Green\nRed Brown Pink Yellow Green Purple\nPurple Brown Green Orange Purple Gray\nYellow Green Purple Blue Red Red\nGray Orange Blue Pink Brown Brown\nGray Pink Gray Yellow Red Gray\nOrange Brown Yellow Red Purple Brown\nBlue Gray Purple Gray Green Yellow\n\n\nExample 2\nInput:\nBrown Pink Brown Purple Red Green Blue Gray\nPurple Gray Purple Purple Brown Pink Pink Gray\nRed Red Blue Brown Orange Red Brown Orange\nPink Yellow Pink Purple Gray Red Purple Purple\nGreen Orange Brown Green Yellow Yellow Green Brown\n\nOutput:\nGray Purple Gray Purple Purple Brown Pink Pink\nOrange Red Red Blue Brown Orange Red Brown\nPurple Pink Yellow Pink Purple Gray Red Purple\nBrown Green Orange Brown Green Yellow Yellow Green\nGray Brown Pink Brown Purple Red Green Blue\n\n\nExample 3\nInput:\nGray Green Purple Pink Green Green Blue Gray Blue\nGray Yellow Blue Gray Pink Purple Brown Pink Gray\nBlue Red Orange Purple Pink Brown Yellow Brown Pink\nRed Pink Blue Brown Green Red Brown Yellow Gray\nGray Pink Gray Red Purple Brown Red Green Pink\n\nOutput:\nGray Gray Yellow Blue Gray Pink Purple Brown Pink\nPink Blue Red Orange Purple Pink Brown Yellow Brown\nGray Red Pink Blue Brown Green Red Brown Yellow\nPink Gray Pink Gray Red Purple Brown Red Green\nBlue Gray Green Purple Pink Green Green Blue Gray\n\n\nHere is the input grid for the test example:\nInput:\nBrown Pink Green Yellow Pink Red Orange\nOrange Purple Orange Blue Yellow Yellow Orange\nOrange Green Brown Blue Green Purple Purple\nBlue Pink Orange Blue Purple Orange Purple\nRed Yellow Purple Yellow Brown Gray Blue\nYellow Brown Green Red Brown Brown Brown\nRed Red Brown Green Red Green Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Purple Orange Blue Yellow Yellow\nPurple Orange Green Brown Blue Green Purple\nPurple Blue Pink Orange Blue Purple Orange\nBlue Red Yellow Purple Yellow Brown Gray\nBrown Yellow Brown Green Red Brown Brown\nBlue Red Red Brown Green Red Green\nOrange Brown Pink Green Yellow Pink Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Brown Brown Brown Brown Brown Yellow Black Black Black\nBlack Black Black Black Yellow Brown Brown Brown Brown Brown Yellow Black Black Black\nBlack Black Black Black Yellow Brown Brown Brown Brown Brown Yellow Black Black Black\nBlack Black Black Black Yellow Brown Brown Brown Brown Brown Yellow Black Black Black\nBlack Black Black Black Yellow Brown Brown Brown Brown Brown Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Brown Brown Brown Brown Black Black\nBlack Black Yellow Brown Brown Brown Brown Black Black\nBlack Black Yellow Brown Brown Brown Brown Black Black\nBlack Black Yellow Brown Brown Brown Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Green Orange Orange Orange Orange Orange Green Black Black Black\nBlack Black Black Black Green Orange Orange Orange Orange Orange Green Black Black Black\nBlack Black Black Black Green Orange Orange Orange Orange Orange Green Black Black Black\nBlack Black Black Black Green Orange Orange Orange Orange Orange Green Black Black Black\nBlack Black Black Black Green Orange Orange Orange Orange Orange Green Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Orange Orange Orange Orange Black Black\nBlack Black Green Orange Orange Orange Orange Black Black\nBlack Black Green Orange Orange Orange Orange Black Black\nBlack Black Green Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Green Purple Purple Purple Purple Purple Green Black Black Black\nBlack Black Black Black Green Purple Purple Purple Purple Purple Green Black Black Black\nBlack Black Black Black Green Purple Purple Purple Purple Purple Green Black Black Black\nBlack Black Black Black Green Purple Purple Purple Purple Purple Green Black Black Black\nBlack Black Black Black Green Purple Purple Purple Purple Purple Green Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Purple Purple Purple Purple Black Black\nBlack Black Green Purple Purple Purple Purple Black Black\nBlack Black Green Purple Purple Purple Purple Black Black\nBlack Black Green Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Pink Pink Pink Pink Pink Gray Black Black Black\nBlack Black Black Black Gray Pink Pink Pink Pink Pink Gray Black Black Black\nBlack Black Black Black Gray Pink Pink Pink Pink Pink Gray Black Black Black\nBlack Black Black Black Gray Pink Pink Pink Pink Pink Gray Black Black Black\nBlack Black Black Black Gray Pink Pink Pink Pink Pink Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Pink Pink Pink Pink Black Black\nBlack Black Gray Pink Pink Pink Pink Black Black\nBlack Black Gray Pink Pink Pink Pink Black Black\nBlack Black Gray Pink Pink Pink Pink Black Black\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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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 Red 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Green 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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 Yellow 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple Purple Purple Purple Purple Yellow 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\nPurple 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\n\n\nDirectly provide the output grids corresponding to the given test input 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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:\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 Red Black Black Black Black\nBlack Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black\nBlack Blue Black Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Black Black\nBlack Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Blue Black Blue Black Blue Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Blue Black Blue Black Blue 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 Black Black Black Black Black Black 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\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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Blue Black Blue Black Blue Black Blue Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Yellow Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nOrange Yellow Black Black Black Black Orange Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Pink Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Gray Black Black Blue Black\nBlack Black Orange Black Black Black Black\nPink Black Black Black Black Black Brown\nBlack Black Black Purple Black Black Red\nBlack Black Black Black Black Black Black\nBlack Black Black Black Blue Black Orange\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Gray Black Black Blue Blue\nBlack Black Orange Black Black Black Blue\nPink Pink Pink Pink Pink Pink Pink\nBlack Black Black Purple Black Black Blue\nBlack Black Black Black Black Black Blue\nBlack Black Black Black Blue Black Blue\nBlack Black Black Black Black Black Blue\n\n\nExample 3\nInput:\nBlack Black Orange Black Black Purple Brown\nBlack Green Black Black Black Black Black\nBlack Black Purple Red Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Gray Black Green Black Black Purple\n\nOutput:\nGreen Green Green Green Green Green Gray\nBlack Green Black Black Black Black Gray\nBlack Black Purple Red Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Gray Black Green Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Black 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 Gray Black Black Black Black Black\nBlack Black Black Purple Gray Black Black Black Black\nPink Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black Black Black Pink Black Black Black Black\nGray Black Black Black Pink Black Black Black Black\nBlack Gray Black Black Pink Black Black Black Black\nBlue Black Gray Black Pink Black Black Black Black\nBlack Black Black Gray Pink Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black\nPink Black Pink Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPink Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black\nBlack Black Pink Black Black Black Pink\nBlack Black Black Pink Black Pink Black\nPink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Black Black Black Orange\nBlack Black Black Orange Black Black Orange\nBlack Black Black Black Orange Black Orange\nBlack Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Orange Orange\nBlack Black Black Black Orange Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Gray\nBlack Gray Black Black Black Black Black Gray Black\nBlack Black Gray Black Black Black Gray Black Black\nBlack Black Black Gray Black Gray Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Gray Black Gray Black Black Black\nBlack Black Gray Black Black Black Gray Black Black\nBlack Gray Black Black Black Black Black Gray Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black 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 Green Black Black Black Green Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Green Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Green\nBlack Black Green Green Green Black Green Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Black\nYellow Yellow Yellow Black Yellow Yellow Green Black Green Black Green Yellow Yellow Yellow Black\nGreen Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow 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 Green\nBlack Black Black Black Green\nBlack Black Black Black Green\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Green Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Green\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Green\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Green Black\nBlack Black Black Green 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 Green\nBlack Black Black Black Green\nBlack Black Black Black Green\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow 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 Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green 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 Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black\n\nOutput:\nBlack Black Black Black Green\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Yellow Yellow Black Black\nBlack Black Black Green Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Green Green Green Black Black Black Green\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Green Black Black Green Black Green Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Green Black Black Yellow Green Yellow Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Green Black Black Yellow Yellow Yellow Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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\nBlack Black Black Black Green\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Brown Brown Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Green Green Black Brown Brown 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 Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlue Blue Blue Black Black Black Black Red Red Red Black Black Yellow Yellow Yellow Black Black\nBlue Blue Blue Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Brown Brown Black Black Black Purple Purple Purple Pink Pink Pink Pink Black\nBlack Green Green Black Brown Brown 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 Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Red Red Red\nBlue Blue Blue Black Black Black Black Red Red Red Black Black Yellow Yellow Red Red Red\nBlue Blue Blue Black Black Black Black Red Red Red Black Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Red Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Purple Purple 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 Pink Pink Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Green Green Green Green\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Red Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Pink Pink Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Green Green Green Blue\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Blue Blue\nBlack Black Black Black Green Green Green Black Black Brown Brown Brown Black Black Blue Blue\nBlack Gray Black Black Green Green Green Black Black Brown Brown Brown Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Red Red Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Gray Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Brown Brown Brown Black Black Blue Blue\nBlack Black Black Black Green Green Green Black Black Brown Brown Brown Black Black Blue Blue\nBlack Gray Black Black Green Green Green Black Black Brown Brown Brown Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Red Red Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black\nGray Gray Gray Gray Black Black Red Red Black Purple Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Green Black\nBlack 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\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Purple Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black\nGray Gray Gray Gray Black Black Red Red Black Purple Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Green Black\nBrown Brown Brown Black Black Black Black Black Black Black Pink Black Green Black\nBrown Brown Brown 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\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Purple Yellow\nPink Yellow Pink\nGray Purple Brown\n\nOutput:\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\n\n\nExample 2\nInput:\nOrange Pink Green\nRed Blue Yellow\nBlue Pink Green\n\nOutput:\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\n\n\nExample 3\nInput:\nGray Orange Green\nYellow Yellow Brown\nBlue Green Red\n\nOutput:\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Gray\nPink Green Gray\nBrown Gray 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```\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Gray Gray Gray Pink Pink Pink Red Red Red Black Black Black\nBrown Brown Brown Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Gray Gray Gray Pink Pink Pink Red Red Red Black Black Black\nBrown Brown Brown Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Gray Gray Gray Pink Pink Pink Red Red Red Black Black Black\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Green Green Green Black Black Black Black Black Black Black Black Black\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Green Green Green Black Black Black Black Black Black Black Black Black\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Green Green Green Black Black Black Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Gray Gray Gray Red Red Red Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Gray Gray Gray Red Red Red Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Gray Gray Gray Red Red Red Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Gray Gray Gray Pink Pink Pink Red Red Red Black Black Black\nBrown Brown Brown Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Gray Gray Gray Pink Pink Pink Red Red Red Black Black Black\nBrown Brown Brown Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Gray Gray Gray Pink Pink Pink Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Green Green Green Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Green Green Green Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Red Red Red Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Red Red Red Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Red Red Red Gray Gray Gray Pink Pink Pink\n\n\nExample 2\nInput:\nGreen Green Green Orange Orange Orange Purple Purple Purple Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black\nGreen Green Green Orange Orange Orange Purple Purple Purple Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black\nGreen Green Green Orange Orange Orange Purple Purple Purple Pink Pink Pink Gray Gray Gray 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\nGreen Green Green Yellow Yellow Yellow 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\nYellow Yellow Yellow Green Green Green Gray Gray Gray Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black\nYellow Yellow Yellow Green Green Green Gray Gray Gray Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black\nYellow Yellow Yellow Green Green Green Gray Gray Gray Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black\nYellow Yellow Yellow Pink Pink Pink Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Pink Pink Pink Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Pink Pink Pink Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Orange Orange Orange Purple Purple Purple Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black\nGreen Green Green Orange Orange Orange Purple Purple Purple Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black\nGreen Green Green Orange Orange Orange Purple Purple Purple Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green\nYellow Yellow Yellow Green Green Green Gray Gray Gray Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black\nYellow Yellow Yellow Green Green Green Gray Gray Gray Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black\nYellow Yellow Yellow Green Green Green Gray Gray Gray Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow\nGray Gray Gray Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Red Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Pink Pink Pink Blue Blue Blue Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Pink Pink Pink Blue Blue Blue Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Pink Pink Pink Blue Blue Blue Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Brown Brown Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Brown Brown Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Brown Brown Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Gray Gray Gray Blue Blue Blue Pink Pink Pink Orange Orange Orange Brown Brown Brown Red Red Red Black Black Black Black Black Black\nYellow Yellow Yellow Gray Gray Gray Blue Blue Blue Pink Pink Pink Orange Orange Orange Brown Brown Brown Red Red Red Black Black Black Black Black Black\nYellow Yellow Yellow Gray Gray Gray Blue Blue Blue Pink Pink Pink Orange Orange Orange Brown Brown Brown Red Red Red Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Pink 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 Black Black Black Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Red Red Red Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Red Red Red Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow Red Red Red Gray Gray Gray\nGreen Green Green Pink Pink Pink Blue Blue Blue Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Pink Pink Pink Blue Blue Blue Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Pink Pink Pink Blue Blue Blue Purple Purple Purple 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 Gray Gray Gray Brown Brown Brown Green Green Green Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Green Green Green Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Green Green Green Blue Blue Blue\nYellow Yellow Yellow Gray Gray Gray Blue Blue Blue Pink Pink Pink Orange Orange Orange Brown Brown Brown Red Red Red Black Black Black Black Black Black\nYellow Yellow Yellow Gray Gray Gray Blue Blue Blue Pink Pink Pink Orange Orange Orange Brown Brown Brown Red Red Red Black Black Black Black Black Black\nYellow Yellow Yellow Gray Gray Gray Blue Blue Blue Pink Pink Pink Orange Orange Orange Brown Brown Brown Red Red Red Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Brown Brown Brown Gray Gray Gray Purple Purple Purple Blue Blue Blue Pink Pink Pink Green Green Green Black Black Black Black Black Black\nRed Red Red Brown Brown Brown Gray Gray Gray Purple Purple Purple Blue Blue Blue Pink Pink Pink Green Green Green Black Black Black Black Black Black\nRed Red Red Brown Brown Brown Gray Gray Gray Purple Purple Purple Blue Blue Blue Pink Pink Pink Green Green Green Black Black Black Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Red Red Red Brown Brown Brown Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Red Red Red Brown Brown Brown Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Red Red Red Brown Brown Brown Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Yellow Yellow Yellow Gray Gray Gray Green Green Green Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Yellow Yellow Yellow Gray Gray Gray Green Green Green Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Yellow Yellow Yellow Gray Gray Gray Green Green Green Blue Blue Blue Orange Orange Orange 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 Brown Brown Brown Gray Gray Gray Purple Purple Purple Blue Blue Blue Pink Pink Pink Green Green Green Black Black Black Black Black Black\nRed Red Red Brown Brown Brown Gray Gray Gray Purple Purple Purple Blue Blue Blue Pink Pink Pink Green Green Green Black Black Black Black Black Black\nRed Red Red Brown Brown Brown Gray Gray Gray Purple Purple Purple Blue Blue Blue Pink Pink Pink Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Orange Orange Orange Brown Brown Brown Red Red Red Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Black Black Black Purple Purple Purple Orange Orange Orange Brown Brown Brown Red Red Red Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Black Black Black Purple Purple Purple Orange Orange Orange Brown Brown Brown Red Red Red Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue\nPurple Purple Purple Yellow Yellow Yellow Gray Gray Gray Green Green Green Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Yellow Yellow Yellow Gray Gray Gray Green Green Green Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Yellow Yellow Yellow Gray Gray Gray Green Green Green Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Purple Purple Black Black Black Black Black\nBlack Orange Orange Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Blue Blue Blue Black Black\nBlack Black Green Green Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black 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 Yellow Yellow Black Blue Blue Blue Black Black\nBlack Black Yellow Yellow Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Red Red Gray Gray Black\nBlack Black Black Black Red 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 Blue Blue Blue Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray 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 Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Black Black Brown Brown\nBlack Black Black Red Red Black Black Black Brown Brown\nBlack Yellow Yellow Red Red 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\n\nOutput:\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Black Black Yellow Yellow\nBlack Black Black Yellow Yellow Black Black Black Yellow Yellow\nBlack Yellow Yellow Yellow Yellow 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Orange Orange\nBlack Blue Green Green Black Black Orange Orange\nBrown Brown Green Green Black Black Black Black\nBrown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Pink Pink Black\nBlack Black Black Yellow Yellow Pink Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Yellow Yellow\nBlack Blue Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Orange Orange Purple Purple Purple Purple Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Orange Orange Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Green 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Blue Blue Blue Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Green Green Blue Blue Blue Black Black Gray Gray Yellow Yellow Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow Black Black Black Black Black Black\nBlack 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Blue Blue Blue Blue Black Blue Blue 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Green 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 Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue 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\n\nOutput:\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 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Blue Black Black Blue 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 Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Blue Blue Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Black Black Black Black Black Black Red 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Green\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black\nBlack Black Black Purple Purple Black Black Black\nBlack Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black\nBlack Black Black Purple Purple Black Black Black\nBlack Black Black Purple Purple 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\nPurple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Purple Purple 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 Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple 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 Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black 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 Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray 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 Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Brown Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black\nBlack Black Brown 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 Gray\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Gray\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 Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Gray 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 Yellow Black Black Black Black Black\nRed Red Black Yellow Yellow Yellow Green Green Black Black\nRed Red Black Black Yellow Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Blue Black Black Black Black\nRed Red Red Black Blue Blue Blue Black Black Black\nBlack Red Black Black Black Blue 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 Yellow Black Black Black Black Black\nRed Red Black Yellow Yellow Yellow Black Black Black Black\nRed Red 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\nRed Red Red Black Black Blue Black Black Black Black\nRed Red Red Black Blue Blue Blue Black Black Black\nBlack Red Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Red Red Red Black Black Black Black Black Black\nBlack Red Red Black Black Blue Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Green Green Black\nYellow Yellow Yellow Black Black Black Black Green Green Black\nYellow Yellow Black Black Black Red Black Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Red Red Red Black Black Black Black Black Black\nBlack Red Red Black Black Blue Black Black Black Black\nBlack Red Red Red 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\nYellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Red Black Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Red Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Green Green Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Red Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Red Red Black Green Green Green Black\nBlack Black Green Green Black Black Black Green Green Black\nBlack Black Green Green Black Black Green Green 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 Red Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Red 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 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 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\nBlack Black Black Green Green Black Black Black Black Black\nBlack Red Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black 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:\nRed Pink Pink Purple Pink Pink Yellow Orange Orange Blue\nPink Purple Red Yellow Pink Orange Green Pink Green Orange\nOrange Red Red Purple Yellow Pink Gray Red Yellow Gray\nPink Purple Yellow Red Red Yellow Purple Purple Red Gray\nRed Orange Red Red Purple Orange Gray Green Red Red\nPurple Green Purple Green Purple Gray Green Yellow Blue Yellow\nPurple Green Red Yellow Green Red Green Pink Purple Gray\nOrange Gray Orange Gray Orange Purple Gray Purple Green Pink\nYellow Green Green Blue Purple Blue Brown Gray Gray Orange\nOrange Pink Red Purple Green Blue Green Purple Pink Purple\n\nOutput:\nRed Pink Pink Purple Pink Pink Yellow Orange Orange Blue\nPink Purple Red Yellow Pink Orange Green Pink Green Orange\nOrange Red Red Purple Yellow Pink Gray Red Yellow Gray\nPink Purple Yellow Red Red Yellow Purple Purple Red Gray\nRed Orange Red Red Purple Orange Gray Green Red Red\nPurple Green Purple Green Purple Gray Green Yellow Blue Yellow\nPurple Green Red Yellow Green Red Green Pink Purple Gray\nOrange Gray Orange Gray Orange Purple Gray Purple Green Pink\nYellow Green Green Blue Purple Blue Black Gray Gray Orange\nOrange Pink Red Purple Green Blue Green Purple Pink Purple\n\n\nExample 2\nInput:\nPink Pink Pink Brown Blue Pink Red Blue Pink Red\nPink Brown Red Green Yellow Pink Blue Yellow Brown Pink\nYellow Orange Blue Orange Brown Purple Yellow Red Purple Brown\nOrange Gray Brown Yellow Pink Purple Gray Brown Red Orange\nPink Blue Yellow Orange Yellow Orange Pink Orange Purple Gray\nYellow Orange Pink Yellow Red Pink Blue Pink Blue Orange\nBlue Brown Brown Red Yellow Purple Gray Orange Red Yellow\nGray Red Purple Purple Purple Red Purple Orange Red Gray\nBlue Yellow Yellow Gray Gray Gray Gray Brown Brown Gray\nPurple Orange Pink Yellow Pink Pink Pink Brown Brown Yellow\n\nOutput:\nPink Pink Pink Brown Blue Pink Red Blue Pink Red\nPink Brown Red Black Yellow Pink Blue Yellow Brown Pink\nYellow Orange Blue Orange Brown Purple Yellow Red Purple Brown\nOrange Gray Brown Yellow Pink Purple Gray Brown Red Orange\nPink Blue Yellow Orange Yellow Orange Pink Orange Purple Gray\nYellow Orange Pink Yellow Red Pink Blue Pink Blue Orange\nBlue Brown Brown Red Yellow Purple Gray Orange Red Yellow\nGray Red Purple Purple Purple Red Purple Orange Red Gray\nBlue Yellow Yellow Gray Gray Gray Gray Brown Brown Gray\nPurple Orange Pink Yellow Pink Pink Pink Brown Brown Yellow\n\n\nExample 3\nInput:\nBlue Pink Brown Blue Blue Brown Blue Brown Pink Red\nRed Brown Purple Pink Pink Yellow Purple Green Orange Green\nBlue Brown Pink Purple Orange Red Green Pink Yellow Blue\nPurple Blue Yellow Green Green Pink Yellow Pink Orange Orange\nYellow Brown Red Orange Brown Orange Blue Orange Brown Red\nOrange Blue Blue Purple Gray Red Pink Brown Purple Orange\nRed Brown Green Yellow Blue Pink Blue Orange Red Green\nPink Pink Purple Red Blue Orange Green Pink Blue Red\nGreen Pink Brown Purple Orange Green Green Blue Pink Brown\nYellow Pink Pink Red Purple Green Orange Yellow Yellow Red\n\nOutput:\nBlue Pink Brown Blue Blue Brown Blue Brown Pink Red\nRed Brown Purple Pink Pink Yellow Purple Green Orange Green\nBlue Brown Pink Purple Orange Red Green Pink Yellow Blue\nPurple Blue Yellow Green Green Pink Yellow Pink Orange Orange\nYellow Brown Red Orange Brown Orange Blue Orange Brown Red\nOrange Blue Blue Purple Black Red Pink Brown Purple Orange\nRed Brown Green Yellow Blue Pink Blue Orange Red Green\nPink Pink Purple Red Blue Orange Green Pink Blue Red\nGreen Pink Brown Purple Orange Green Green Blue Pink Brown\nYellow Pink Pink Red Purple Green Orange Yellow Yellow Red\n\n\nHere is the input grid for the test example:\nInput:\nOrange Green Orange Orange Orange Purple Purple Purple Purple Brown\nBlue Orange Gray Orange Green Pink Green Brown Red Gray\nBrown Yellow Brown Purple Yellow Brown Orange Purple Brown Green\nYellow Pink Green Blue Green Blue Gray Brown Blue Green\nGray Brown Yellow Purple Brown Brown Yellow Brown Purple Yellow\nBlue Gray Green Orange Orange Purple Orange Yellow Orange Gray\nYellow Gray Pink Pink Purple Yellow Purple Blue Blue Blue\nBlue Green Yellow Gray Brown Orange Gray Yellow Blue Yellow\nBlue Pink Gray Pink Blue Brown Gray Purple Pink Green\nPurple Orange Yellow Yellow Blue Pink Blue Brown Gray Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Green Orange Orange Orange Purple Purple Purple Purple Brown\nBlue Orange Gray Orange Green Pink Green Brown Black Gray\nBrown Yellow Brown Purple Yellow Brown Orange Purple Brown Green\nYellow Pink Green Blue Green Blue Gray Brown Blue Green\nGray Brown Yellow Purple Brown Brown Yellow Brown Purple Yellow\nBlue Gray Green Orange Orange Purple Orange Yellow Orange Gray\nYellow Gray Pink Pink Purple Yellow Purple Blue Blue Blue\nBlue Green Yellow Gray Brown Orange Gray Yellow Blue Yellow\nBlue Pink Gray Pink Blue Brown Gray Purple Pink Green\nPurple Orange Yellow Yellow Blue Pink Blue Brown Gray Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\n\nOutput:\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\n\n\nExample 2\nInput:\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\n\nOutput:\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\n\n\nExample 3\nInput:\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\n\nOutput:\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue 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```\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Red Red Blue Blue Red Red 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 Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black\nBlack Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Black Black Black\nBlack Green Green Green Green Green Black Black Black\nBlack Black Black Green Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Black Black Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nGreen Green Green Green Green Green Green\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Black Black Green Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black\nBlack Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray 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 Orange Black\nBlack Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black\nBlack Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black\nBlack Black Orange Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange 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\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack 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\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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Pink Green Purple Purple Brown Red Orange Brown Gray\nPurple Gray Red Red Orange Gray Orange Purple Orange Purple\nBlue Blue Pink Brown Green Yellow Green Gray Orange Brown\nBrown Yellow Yellow Gray Yellow Purple Orange Pink Green Pink\nBlue Red Gray Purple Yellow Green Orange Red Green Yellow\nBrown Purple Yellow Pink Orange Green Blue Orange Brown Pink\nBlue Brown Yellow Pink Brown Green Purple Gray Orange Orange\nOrange Purple Purple Gray Purple Purple Yellow Orange Pink Purple\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nYellow Orange Purple Blue Yellow Brown Orange\nBlue Gray Yellow Green Yellow Purple Blue\nPurple Gray Gray Red Green Purple Gray\nPurple Brown Pink Orange Green Brown Red\nPurple Yellow Gray Pink Pink Brown Pink\nBrown Orange Purple Purple Brown Gray Green\nBrown Pink Blue Purple Orange Brown Blue\nOrange Blue Purple Red Red Purple Red\nOrange Orange Red Yellow Orange Red Yellow\nPink Pink Pink Orange Pink Brown Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nRed Yellow Purple Pink Pink Purple Pink\nPurple Red Orange Brown Yellow Green Purple\nPink Green Purple Yellow Blue Orange Orange\nBrown Yellow Red Brown Gray Yellow Red\nBrown Green Red Purple Orange Purple Green\nYellow Red Gray Pink Green Red Blue\nOrange Green Green Gray Brown Pink Yellow\nRed Brown Gray Orange Red Gray Yellow\nYellow Blue Red Purple Red Orange Brown\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\n\n\nHere is the input grid for the test example:\nInput:\nYellow Red Yellow Purple Green Orange Gray Pink Pink\nBlue Orange Red Blue Green Red Pink Pink Red\nPink Yellow Pink Green Pink Orange Orange Orange Brown\nGreen Blue Red Red Blue Purple Orange Brown Gray\nPurple Red Yellow Yellow Orange Blue Red Brown Brown\nGreen Purple Brown Purple Gray Brown Yellow Pink Pink\nOrange Blue Orange Purple Green Pink Brown Gray Green\nPurple Gray Brown Orange Purple Blue Purple Pink Gray\nGray Gray Purple Brown Yellow Red Pink Gray Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Red Black Black Black Black Black\nRed Black Black Black Red Black Blue Blue Black Red\nRed Black Black Black Black Black Black Black Black Red\nBlack Red Black Black Black Black Black Black Yellow Yellow\nBlack Red Black Black Black Black Black Red Yellow Yellow\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Black Black Black Black Black\nRed Black Black Black Red Black Blue Blue Black Red\nBlue Black Black Black Black Black Black Black Black Red\nBlack Red Black Black Black Black Black Black Yellow Yellow\nBlack Red Black Black Black Black Black Red Yellow Yellow\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Blue Green Yellow Yellow Black Black Black Black\nBlack Blue Black Yellow Yellow Black Red Red Black\nBlack Black Yellow Yellow Black Black Red Red Black\nBlack Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Red Yellow Yellow Black\nBlack Green Black Black Red Red Yellow Yellow Black\n\nOutput:\nBlack Blue Green Yellow Yellow Black Black Black Black\nBlack Blue Black Yellow Yellow Black Red Red Black\nBlack Black Yellow Yellow Red Black Red Red Black\nBlack Black Yellow Yellow Red Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Red Yellow Yellow Black\nBlack Green Black Black Red Red Yellow Yellow Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Green Green Black Red Red\nBlack Green Green Black Black Black\nRed Black Black Black Black Black\nRed Red Red Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Green Green Black Red Red\nBlack Green Yellow Black Black Black\nRed Black Black Black Black Black\nRed Red Red Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Yellow Black Blue Black\nGreen Green Black Black Black Black\nGreen Green Black Yellow Yellow Black\nBlack Yellow Yellow Black Black Black\nBlack Yellow Yellow Black Green Black\nBlack Blue Blue Black Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Yellow Red Black Blue Black\nGreen Green Black Black Black Black\nYellow Yellow Black Yellow Yellow Black\nBlack Yellow Yellow Black Black Black\nBlack Yellow Yellow Black Green Black\nBlack Blue Blue Black Green Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\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 Green Black Black Black Black\nBlack Black Green Green Green Black Black Black\nBlack Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Blue Black\nBlack Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Green Green Green Black Black Black Black Black\nBlack Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Brown 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Green Black Black Black Red Red Black\nGreen Green Green Black Red Red Red Red\nBlack Green Black Black Black Red Red 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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Gray 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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Brown Gray Black\nBlack Black Black Black Black Black Gray Black\nBlack Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black\nGray Black Brown Black Black Black Black Brown\nBlack Black Black Brown Black Brown Black Black\nGray Black Brown Black Black Brown Black Brown\nGray Black Black Black Black Gray Brown Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Purple Brown Purple\nBlack Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black\nBlack Black Black Pink Black Black Black\nBrown Black Black Black Black Black Gray\nBlack Black Brown Black Black Black Black\nBlack Black Brown Black Purple Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nOrange Black Black Black Black Black Orange Black Black\nOrange Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Orange Black Orange Black\nBlack Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\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\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 Black Brown Black\nBlack Black Yellow Black Yellow Black Black Black Black\nBrown Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Brown Black Black Brown\nBlack Black Black Brown Black Brown Black Brown Black\nBlack Black Black Black Black Black Yellow Black Yellow\nBrown Black Black 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```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Red Black Gray Blue Black Black Black Pink Brown Purple\nBlack Pink Black Black Gray Blue Black Black Black Pink Brown Purple\nBlack Black Black Black Gray Blue Gray Black Black Pink Brown Purple\nBlack Black Black Black Gray Blue Black Black Black Pink Brown Purple\nBlack Black Black Black Gray Blue Black Black Black Pink Brown Purple\nBlack Black Black Black Gray Blue Black Black Black Pink Brown Purple\nBlack Gray Black Black Gray Blue Pink Black Black Pink Brown Purple\nBlack Black Black Black Gray Blue Black Pink Black Pink Brown Purple\n\nOutput:\nBlack Black Black Black Gray Blue Black Black Black Pink Brown Purple\nBlack Black Black Black Gray Blue Black Black Black Pink Brown Purple\nBlack Black Black Black Gray Blue Gray Black Black Pink Brown Purple\nBlack Black Black Black Gray Blue Black Black Black Pink Brown Purple\nBlack Black Black Black Gray Blue Black Black Black Pink Brown Purple\nBlack Black Black Black Gray Blue Black Black Black Pink Brown Purple\nBlack Black Black Black Gray Blue Pink Black Black Pink Brown Purple\nBlack Black Black Black Gray Blue Black Black Black Pink Brown Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Green Orange Purple Gray Pink\nBlack Black Black Orange Black Black Orange Purple Gray Pink\nBlack Black Black Black Yellow Black Orange Purple Gray Pink\nBlack Black Black Black Black Black Orange Purple Gray Pink\nBlack Black Black Black Black Black Orange Purple Gray Pink\nBlack Black Black Black Black Black Orange Purple Gray Pink\nBlack Black Black Black Black Black Orange Purple Gray Pink\n\nOutput:\nBlack Black Black Black Black Green Orange Purple Gray Pink\nBlack Black Black Black Black Black Orange Purple Gray Pink\nBlack Black Black Black Black Black Orange Purple Gray Pink\nBlack Black Black Black Black Black Orange Purple Gray Pink\nBlack Black Black Black Black Black Orange Purple Gray Pink\nBlack Black Black Black Black Black Orange Purple Gray Pink\nBlack Black Black Black Black Black Orange Purple Gray Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Red Brown Yellow Pink Black Black Purple\nBlack Black Black Black Black Brown Yellow Pink Black Black Purple\nBlack Black Black Black Black Brown Yellow Pink Black Black Purple\nRed Black Black Black Black Brown Yellow Pink Black Black Purple\nBlack Black Black Black Black Brown Yellow Pink Green Black Purple\nBlack Red Black Black Yellow Brown Yellow Pink Black Orange Purple\nBlack Black Black Black Black Brown Yellow Pink Black Black Purple\n\nOutput:\nBlack Black Black Black Red Brown Yellow Pink Black Black Purple\nBlack Black Black Black Black Brown Yellow Pink Black Black Purple\nBlack Black Black Black Black Brown Yellow Pink Black Black Purple\nBlack Black Black Black Black Brown Yellow Pink Black Black Purple\nBlack Black Black Black Black Brown Yellow Pink Green Black Purple\nBlack Black Black Black Yellow Brown Yellow Pink Black Orange Purple\nBlack Black Black Black Black Brown Yellow Pink Black Black Purple\n\n\nHere is the input grid for the test example:\nInput:\nGreen Black Black Red Pink Black Black Black Purple\nGreen Black Black Brown Pink Black Black Black Purple\nGreen Black Black Brown Pink Black Black Black Purple\nGreen Black Black Brown Pink Black Black Black Purple\nGreen Black Black Yellow Pink Black Blue Black Purple\nGreen Black Black Brown Pink Black Black Black Purple\nGreen Black Black Brown Pink Black Black Black Purple\nGreen Black Black Brown Pink Black Black Black Purple\nBrown Black Black Brown Pink Black Black Black Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Red Pink Black Black Black Purple\nBlack Black Black Brown Pink Black Black Black Purple\nBlack Black Black Brown Pink Black Black Black Purple\nBlack Black Black Brown Pink Black Black Black Purple\nBlack Black Black Yellow Pink Black Black Black Purple\nBlack Black Black Brown Pink Black Black Black Purple\nBlack Black Black Brown Pink Black Black Black Purple\nBlack Black Black Brown Pink Black Black Black Purple\nBlack Black Black Brown Pink Black Black Black Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Blue Blue Black Black Black Yellow Black Black\nBlack Black Blue Black Black Blue Yellow Black Black\nBlack Black Blue Blue Blue Blue Yellow Black Black\nBlue Blue Blue Blue Black Black Yellow Black Black\nBlue Black Black Blue Black Black Yellow Black Black\nBlack Black Black Blue Blue Black Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Orange Pink\nBlack Black Black Black Black Black Yellow Purple Green\n\nOutput:\nBlack Orange Orange Black Black Black\nBlack Black Orange Black Black Pink\nBlack Black Orange Pink Pink Pink\nPurple Purple Purple Green Black Black\nPurple Black Black Green Black Black\nBlack Black Black Green Green Black\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Blue Yellow Black Black\nBlue Blue Blue Blue Blue Blue Yellow Black Black\nBlue Blue Blue Blue Black Black Yellow Black Black\nBlue Blue Blue Blue Black Black Yellow Black Black\nBlue Blue Blue Blue Blue Blue Yellow Black Black\nBlack Black Black Black Blue Blue Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Pink Gray\nBlack Black Black Black Black Black Yellow Green Brown\n\nOutput:\nBlack Black Black Black Gray Gray\nPink Pink Pink Gray Gray Gray\nPink Pink Pink Gray Black Black\nGreen Green Green Brown Black Black\nGreen Green Green Brown Brown Brown\nBlack Black Black Black Brown Brown\n\n\nExample 3\nInput:\nBlack Black Blue Blue Blue Black Yellow Black Black\nBlack Blue Blue Black Blue Blue Yellow Black Black\nBlue Blue Blue Black Black Black Yellow Black Black\nBlue Black Black Black Black Black Yellow Black Black\nBlue Blue Black Black Black Black Yellow Black Black\nBlue Blue Black Black Black Black Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Orange Purple\nBlack Black Black Black Black Black Yellow Red Pink\n\nOutput:\nBlack Black Orange Purple Purple Black\nBlack Orange Orange Black Purple Purple\nOrange Orange Orange Black Black Black\nRed Black Black Black Black Black\nRed Red Black Black Black Black\nRed Red Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Blue Blue Blue Black Yellow Black Black\nBlack Blue Blue Blue Blue Black Yellow Black Black\nBlue Blue Blue Blue Blue Blue Yellow Black Black\nBlue Blue Blue Blue Blue Blue Yellow Black Black\nBlue Blue Blue Blue Blue Blue Yellow Black Black\nBlue Black Black Black Black Blue Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Orange Gray\nBlack Black Black Black Black Black Yellow Purple 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 Orange Orange Gray Gray Black\nBlack Orange Orange Gray Gray Black\nOrange Orange Orange Gray Gray Gray\nPurple Purple Purple Pink Pink Pink\nPurple Purple Purple Pink Pink Pink\nPurple Black Black Black Black Pink\n```",
"role": "assistant"
}
]
|
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