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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"
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{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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\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:\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\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 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\n\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```\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\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\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\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\nBlue Blue Blue Blue Blue Blue Blue 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:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\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 Blue Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 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 Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Blue Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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"
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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\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Black\nBlack Black Black Yellow Yellow Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Green Black Black\nBlack Black Black Black Green Black Black\nBlack Black Black Black Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Green Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"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"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Brown Black Brown 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 Brown Brown Brown Brown\nBlack Black Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Brown Brown Black Black Black Brown Brown Brown Brown\nBlack Black Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Red Black Black Black\nBlack Red Red Black Black Black\nBlack Red Red Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\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"
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"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nRed Red Red Black Black Black\nRed Red Red Black Black Black\nBlack Black Black Black Black Black\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\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 Black Brown Brown Brown Brown Brown Brown Brown Black Brown Black Brown Brown\nBrown Yellow Brown Brown Brown Black Brown Brown Brown Brown Brown Black Brown Brown\nBrown Brown Yellow Brown Black Brown Brown Brown Brown Black Black Brown Brown Black\nBrown Black Brown Yellow Brown Brown Black Brown Brown Brown Brown Black Brown Brown\nBrown Brown Black Black Yellow Brown Brown Brown Brown Black Brown Brown Brown Brown\nBrown Brown Brown Black Black Yellow Brown Brown Black Brown Brown Black Brown Brown\nBrown Brown Brown Brown Brown Brown Yellow Brown Brown Brown Brown Black Brown Black\nBlack Brown Brown Black Brown Brown Brown Yellow Brown Brown Brown Black Brown Brown\nBlack Brown Brown Black Brown Brown Black Brown Yellow Black Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Brown Black Brown Black\nBrown Brown Brown Black Brown Brown Brown Brown Brown Brown Yellow Black Brown Brown\nBrown Brown Brown Brown Brown Black Brown Black Black Black Brown Yellow Brown Brown\nBrown Black Brown Brown Black Black Brown Brown Black Brown Brown Brown Yellow Brown\nBlack Brown Brown Brown Black Brown Brown Brown Black Brown Brown Brown Brown Yellow\n\nOutput:\nBlue Black Brown Brown Brown Brown Brown Brown Brown Black Brown Black Brown Brown\nBrown Blue Brown Brown Brown Black Brown Brown Brown Brown Brown Black Brown Brown\nBrown Brown Blue Brown Black Brown Brown Brown Brown Black Black Brown Brown Black\nBrown Black Brown Blue Brown Brown Black Brown Brown Brown Brown Black Brown Brown\nBrown Brown Black Black Blue Brown Brown Brown Brown Black Brown Brown Brown Brown\nBrown Brown Brown Black Black Blue Brown Brown Black Brown Brown Black Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Brown Brown Brown Brown Black Brown Black\nBlack Brown Brown Black Brown Brown Brown Blue Brown Brown Brown Black Brown Brown\nBlack Brown Brown Black Brown Brown Black Brown Blue Black Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Black Brown Black\nBrown Brown Brown Black Brown Brown Brown Brown Brown Brown Blue Black Brown Brown\nBrown Brown Brown Brown Brown Black Brown Black Black Black Brown Blue Brown Brown\nBrown Black Brown Brown Black Black Brown Brown Black Brown Brown Brown Blue Brown\nBlack Brown Brown Brown Black Brown Brown Brown Black Brown Brown Brown Brown Blue\n\n\nExample 2\nInput:\nGreen Orange Orange Orange Orange Orange Orange\nOrange Green Orange Orange Orange Orange Black\nOrange Orange Green Black Black Orange Orange\nOrange Orange Orange Green Orange Orange Orange\nOrange Orange Black Orange Green Orange Orange\nOrange Orange Orange Orange Orange Green Orange\nBlack Orange Orange Black Orange Black Green\n\nOutput:\nBlue Orange Orange Orange Orange Orange Orange\nOrange Blue Orange Orange Orange Orange Black\nOrange Orange Blue Black Black Orange Orange\nOrange Orange Orange Blue Orange Orange Orange\nOrange Orange Black Orange Blue Orange Orange\nOrange Orange Orange Orange Orange Blue Orange\nBlack Orange Orange Black Orange Black Blue\n\n\nExample 3\nInput:\nGreen Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Green Purple Purple Purple Purple Black Black Purple\nPurple Purple Green Purple Purple Black Purple Purple Purple\nPurple Black Purple Green Black Purple Purple Black Purple\nPurple Purple Purple Purple Green Purple Purple Purple Purple\nPurple Purple Purple Purple Black Green Black Black Purple\nPurple Black Purple Black Purple Purple Green Purple Black\nPurple Purple Purple Purple Purple Purple Purple Green Purple\nPurple Purple Black Purple Purple Purple Black Purple Green\n\nOutput:\nBlue Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Blue Purple Purple Purple Purple Black Black Purple\nPurple Purple Blue Purple Purple Black Purple Purple Purple\nPurple Black Purple Blue Black Purple Purple Black Purple\nPurple Purple Purple Purple Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Black Blue Black Black Purple\nPurple Black Purple Black Purple Purple Blue Purple Black\nPurple Purple Purple Purple Purple Purple Purple Blue Purple\nPurple Purple Black Purple Purple Purple Black Purple Blue\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Pink Pink Pink Pink Pink Black Pink Pink Pink Black Pink Pink Pink\nPink Gray Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Black\nPink Pink Gray Pink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Pink\nBlack Pink Black Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Black Black Gray Pink Pink Pink Black Black Pink Pink Pink Black\nBlack Black Pink Pink Black Pink Gray Pink Pink Pink Pink Pink Pink Pink Black\nPink Black Black Pink Black Pink Pink Gray Pink Pink Pink Black Pink Pink Pink\nPink Pink Pink Pink Black Black Pink Pink Gray Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Gray Pink Pink Black Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Black Pink Pink Gray Black Pink Black Pink\nPink Black Pink Pink Pink Pink Black Pink Pink Pink Black Gray Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black Pink Black Pink Black Pink Gray Pink Pink\nBlack Pink Black Pink Black Pink Pink Black Pink Pink Pink Pink Pink Gray Black\nPink Pink Pink Black Pink Black Pink Black Pink Black Pink Pink Black Pink 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```\nBlue Black Pink Pink Pink Pink Pink Black Pink Pink Pink Black Pink Pink Pink\nPink Blue Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Black\nPink Pink Blue Pink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Pink\nBlack Pink Black Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Black Black Blue Pink Pink Pink Black Black Pink Pink Pink Black\nBlack Black Pink Pink Black Pink Blue Pink Pink Pink Pink Pink Pink Pink Black\nPink Black Black Pink Black Pink Pink Blue Pink Pink Pink Black Pink Pink Pink\nPink Pink Pink Pink Black Black Pink Pink Blue Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Blue Pink Pink Black Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Black Pink Pink Blue Black Pink Black Pink\nPink Black Pink Pink Pink Pink Black Pink Pink Pink Black Blue Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black Pink Black Pink Black Pink Blue Pink Pink\nBlack Pink Black Pink Black Pink Pink Black Pink Pink Pink Pink Pink Blue Black\nPink Pink Pink Black Pink Black Pink Black Pink Black Pink Pink Black Pink 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:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Pink Brown Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Red Blue Red Black Black Black\nBlack Black Black Black Black Black Yellow Blue Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Blue Black Black Black Black\nBlack Black Black Black Black Black Brown Purple Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple\nPurple Purple Purple Red Purple Red Purple Purple Pink Pink Pink Purple\nPurple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Red Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Brown Gray Blue Black Black Black\nBlack Gray Yellow Black Brown Green Blue Black Black Black\nBlack Black Blue Black Black Gray Blue Black Black Black\nBlack Gray Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Pink Purple Purple Purple Purple\nPurple Purple Purple Red Orange Pink Purple Purple Purple Purple\nPurple Purple Purple Red Red Pink Purple Red Orange Purple\nPurple Purple Purple Red Orange Purple Purple Red Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Red Orange Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Pink Pink Pink Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\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 Blue\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Purple Purple Purple Purple Purple Purple Purple Purple\nRed Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Red Purple Purple Purple Purple Purple\nPurple Purple Purple Red Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Yellow Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack 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\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\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue 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\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\nBlue Blue Blue Black Black Blue Blue Blue Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Brown Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Brown 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:\nBlue Blue Blue Blue Blue Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Blue\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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue 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\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 Red Red Red Black\nBlack Black Red Red Red Black\nBlack Black Red Black Red Black\nBlack Black Red Black Red Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Yellow Blue Red\nYellow Blue Red Yellow\nBlue Red Yellow Blue\nRed Yellow Blue Red\nYellow Blue Red Yellow\n\nOutput:\nYellow Yellow Blue Blue Red Red Yellow Yellow\nYellow Yellow Blue Blue Red Red Yellow Yellow\nBlue Blue Red Red Yellow Yellow Blue Blue\nBlue Blue Red Red Yellow Yellow Blue Blue\nRed Red Yellow Yellow Blue Blue Red Red\nRed Red Yellow Yellow Blue Blue Red Red\nYellow Yellow Blue Blue Red Red Yellow Yellow\nYellow Yellow Blue Blue Red Red Yellow Yellow\nBlue Blue Red Red Yellow Yellow Blue Blue\nBlue Blue Red Red Yellow Yellow Blue Blue\n\n\nExample 2\nInput:\nRed Yellow Blue Red Yellow\nYellow Blue Red Yellow Blue\nBlue Red Yellow Blue Red\nRed Yellow Blue Red Yellow\n\nOutput:\nYellow Yellow Blue Blue Red Red Yellow Yellow Blue Blue\nYellow Yellow Blue Blue Red Red Yellow Yellow Blue Blue\nBlue Blue Red Red Yellow Yellow Blue Blue Red Red\nBlue Blue Red Red Yellow Yellow Blue Blue Red Red\nRed Red Yellow Yellow Blue Blue Red Red Yellow Yellow\nRed Red Yellow Yellow Blue Blue Red Red Yellow Yellow\nYellow Yellow Blue Blue Red Red Yellow Yellow Blue Blue\nYellow Yellow Blue Blue Red Red Yellow Yellow Blue Blue\n\n\nExample 3\nInput:\nRed Yellow Blue Red Yellow\nYellow Blue Red Yellow Blue\nBlue Red Yellow Blue Red\nRed Yellow Blue Red Yellow\nYellow Blue Red Yellow Blue\n\nOutput:\nYellow Yellow Blue Blue Red Red Yellow Yellow Blue Blue\nYellow Yellow Blue Blue Red Red Yellow Yellow Blue Blue\nBlue Blue Red Red Yellow Yellow Blue Blue Red Red\nBlue Blue Red Red Yellow Yellow Blue Blue Red Red\nRed Red Yellow Yellow Blue Blue Red Red Yellow Yellow\nRed Red Yellow Yellow Blue Blue Red Red Yellow Yellow\nYellow Yellow Blue Blue Red Red Yellow Yellow Blue Blue\nYellow Yellow Blue Blue Red Red Yellow Yellow Blue Blue\nBlue Blue Red Red Yellow Yellow Blue Blue Red Red\nBlue Blue Red Red Yellow Yellow Blue Blue Red Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Yellow Blue\nYellow Blue Red\nBlue Red Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Blue Blue Red Red\nYellow Yellow Blue Blue Red Red\nBlue Blue Red Red Yellow Yellow\nBlue Blue Red Red Yellow Yellow\nRed Red Yellow Yellow Blue Blue\nRed Red Yellow Yellow Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue\n\nOutput:\nYellow Black Black Black Yellow Black Black Yellow Black Black Black Yellow\nBlack Yellow Black Black Black Yellow Yellow Black Black Black Yellow Black\nBlack Black Yellow Black Black Yellow Yellow Black Black Yellow Black Black\nBlack Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black\nBlack Black Yellow Black Black Yellow Yellow Black Black Yellow Black Black\nBlack Yellow Black Black Black Yellow Yellow Black Black Black Yellow Black\nYellow Black Black Black Yellow Black Black Yellow Black Black Black Yellow\n\n\nExample 2\nInput:\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink\n\nOutput:\nYellow Black Black Yellow Black Black Yellow Black Black Yellow\nBlack Yellow Black Black Yellow Yellow Black Black Yellow Black\nBlack Black Yellow Black Yellow Yellow Black Yellow Black Black\nBlack Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Yellow Black Yellow Yellow Black Yellow Black Black\nBlack Yellow Black Black Yellow Yellow Black Black Yellow Black\nYellow Black Black Yellow Black Black Yellow Black Black Yellow\n\n\nExample 3\nInput:\nPurple 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 Brown\n\nOutput:\nYellow Black Black Black Yellow Black Yellow Black Black Black Yellow\nBlack Yellow Black Black Black Yellow Black Black Black Yellow Black\nBlack Black Yellow Black Yellow Black Yellow Black Yellow Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Black Black\nBlack Black Yellow Black Yellow Black Yellow Black Yellow Black Black\nBlack Yellow Black Black Black Yellow Black Black Black Yellow Black\nYellow Black Black Black Yellow Black Yellow Black Black Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Yellow\nBlack Yellow Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Yellow Black Black\nBlack Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black\nBlack Black Yellow Black Black Black Yellow Black Black\nBlack Yellow Black Black Black Black Black Yellow Black\nYellow Black Black Black Black Black Black Black Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black 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 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\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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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\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\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 Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Gray Pink Black Black Black Black Black\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 Brown Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Green Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink\n\nOutput:\nBlack Black Black Black Black Pink Gray 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Green Black Black Orange Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Orange\nBlack Black Black Brown Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Red Black Black Black Black Black Black Black\nBlue Black Black Blue Black Black Black Black Gray Black\n\nOutput:\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Red Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Brown Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Gray Black Black Black Black Blue Black Black Blue\n\n\nExample 3\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Red Pink Yellow Black\nBlack Black Black Black Brown Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Green Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Pink Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Pink Black Black Black Pink Black Black\nBlack Black Black Black Black Gray Black Pink Black\nBlack Black Black Black Pink Black Black Black Brown\nBlack Black Black Black Black Black Black Gray Black\nBrown Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Pink Black\nBlack Gray Black Black Black Pink Black Brown Black\nBlack Black Black Orange Black Black Blue Black Black\nBlack Brown Black Gray Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Pink Black Black Black Pink Black Black\nBlack Pink Black Gray Black Black Black Black Black\nBrown Black Black Black Pink Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown\nBlack Pink Black Black Black Black Pink Black Black\nBlack Brown Black Pink Black Black Black Gray Black\nBlack Black Blue Black Black Orange Black Black Black\nBlack Black Black Black Black Gray Black Brown Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow 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\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Red Red Red\nGreen Green Green Green Green Green Green Red Red Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Green Green Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black\nGreen Green 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Black Red Red Red Red\nGreen Green Green Green Green Black Red Red Red Red\nGreen Green Green Green Green Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Gray Yellow\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Orange Gray Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\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\nPurple Purple Purple Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nPurple Gray Purple Black Black Black Brown Gray Brown Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Brown Brown Brown 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 Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\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\nPurple Purple Purple Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nGreen Gray Green Black Black Yellow Gray Yellow Black Black Black Black Black Black Black\nGreen Green Green Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Green Green Green Black Black Black Black Black Black Orange Gray Orange Black\nBlack Black Green Gray Green Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nGreen Green Green Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nGreen Green Green Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nGreen Green Green Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Green Green Green Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Green Green Green Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Gray Pink Black Black Black Black Black\nBlack 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Gray Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black\nRed Red Red Black Black Black Black Black Black Black Green Gray Green Black\nRed Gray Red Black Black Black Black Black Black Black Green Green Green Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Green Gray Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black\nRed Red Red Black Black Black Black Black Black Black Green Green Green Black\nRed Red Red Black Black Black Black Black Black Black Green Green Green Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Orange 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\nOrange 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 Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\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 Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Blue Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\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 Brown Black Black Black\n\nOutput:\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 Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nPurple Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown 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\nBlack Black Black Black Black 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 Purple\nBlack Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black 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\nBlack Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black 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 Brown Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Gray Pink Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown 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 Brown Brown Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Pink Pink Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nBlue Black Yellow Yellow Red Black Black Blue\nBlack Blue Yellow Yellow Black Black Blue Red\nBlack Yellow Green Black Blue Green Black Blue\nBlue Red Black Black Black Blue Green Black\nRed Blue Black Green Red Black Green Blue\nBlack Black Black Black Yellow Black Green Black\nBlack Green Black Black Yellow Red Green Black\nYellow Blue Black Green Blue Black Black Red\n\nOutput:\nBlue Black Green Green Red Black Black Blue\nBlack Blue Green Green Black Black Blue Red\nBlack Yellow Green Black Blue Green Black Blue\nBlue Red Black Black Black Blue Green Black\nRed Blue Black Green Red Black Green Blue\nBlack Black Black Black Yellow Black Green Black\nBlack Green Black Black Yellow Red Green Black\nYellow Blue Black Green Blue Black Black Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Green Red Black\nBlack Yellow Blue Yellow Black Red Yellow Black Black\nYellow Blue Red Black Black Red Black Red Black\nBlack Yellow Yellow Blue Black Yellow Black Yellow Yellow\nBlue Yellow Yellow Yellow Black Black Black Yellow Yellow\nRed Black Red Blue Black Red Green Yellow Yellow\nBlack Black Black Black Black Red Yellow Green Green\n\nOutput:\nBlack Black Black Black Black Black Green Red Black\nBlack Yellow Blue Yellow Black Red Yellow Black Black\nYellow Blue Red Black Black Red Black Red Black\nBlack Green Green Blue Black Yellow Black Green Green\nBlue Green Green Yellow Black Black Black Green Green\nRed Black Red Blue Black Red Green Green Green\nBlack Black Black Black Black Red Yellow Green Green\n\n\nExample 3\nInput:\nRed Black Black Black Black Red Black Red Black\nBlack Blue Black Yellow Yellow Black Green Black Red\nYellow Yellow Red Yellow Black Yellow Black Green Blue\nYellow Yellow Yellow Black Green Black Black Black Black\nBlack Red Black Red Black Blue Red Yellow Red\nBlack Blue Black Black Blue Black Black Green Black\nBlack Blue Red Yellow Blue Black Blue Black Red\nYellow Green Red Blue Black Green Black Green Red\nBlue Black Black Green Black Yellow Red Red Black\n\nOutput:\nRed Black Black Black Black Red Black Red Black\nBlack Blue Black Yellow Yellow Black Green Black Red\nGreen Green Red Yellow Black Yellow Black Green Blue\nGreen Green Yellow Black Green Black Black Black Black\nBlack Red Black Red Black Blue Red Yellow Red\nBlack Blue Black Black Blue Black Black Green Black\nBlack Blue Red Yellow Blue Black Blue Black Red\nYellow Green Red Blue Black Green Black Green Red\nBlue Black Black Green Black Yellow Red Red Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Black\nBlue Red Red Green Green\nBlack Black Red Blue Black\nBlack Black Black Red Black\nBlue Yellow Yellow Yellow Red\nBlack Black Yellow Yellow Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Black Black Black Black\nBlue Red Red Green Green\nBlack Black Red Blue Black\nBlack Black Black Red Black\nBlue Yellow Green Green Red\nBlack Black Green Green Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Pink 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 Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Green Green Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black 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 Black Pink Pink Pink 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 Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Green Green Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Black Black Black\nBlack Purple Black Black\nPurple Black Purple Black\nBlack Black Black Black\n\nOutput:\nPurple Black Black Black Black Purple\nBlack Purple Black Black Purple Black\nPurple Black Purple Purple Black Purple\nPurple Black Purple Purple Black Purple\nBlack Purple Black Black Purple Black\nBlack Black Purple Purple Black Black\n\n\nExample 2\nInput:\nOrange Orange Black\nOrange Black Black\nOrange Black Black\nBlack Black Black\n\nOutput:\nOrange Orange Orange Black Black Black\nOrange Black Orange Orange Orange Black\nOrange Black Black Black Black Black\nBlack Orange Orange Orange Orange Black\n\n\nExample 3\nInput:\nGray Black Black\nBlack Gray Black\nBlack Black Black\n\nOutput:\nGray Black Black Gray\nBlack Gray Gray Black\nGray Black Black Gray\nBlack Gray Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Black\nPink Pink 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```\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink 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 Green Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Gray Black Brown Orange\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Gray Black Brown Orange\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Gray Black Brown Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Purple Black\n\n\nExample 2\nInput:\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Blue 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 Black Black Black 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 Red Black Black Black Black Black Black\nBlack Black Blue 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 Black Black Black Black Black Black Black\nBlack Black Blue Black Orange Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Blue Black Black Black Black Black\nPurple Black Black Black Black Gray Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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 Green Black\nBlack Black Black Black Black Blue Black Black Black Black Black\nPurple Black Black Black Black Gray Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Gray Black Black Red Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Pink Black Black Black\nGray Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown 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 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 Pink Black Black Black\nGray Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black\nGray Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Brown Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Gray Yellow Gray Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Gray Brown Black Black Black Black Black\nBlack 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 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Brown Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Gray Yellow Gray Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Gray Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Yellow Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Yellow Purple Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\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 Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Purple Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Blue Blue Black Black Black Black\nBlack Black Black Black Blue Orange Orange Blue Blue Black Black Black\nBlack Black Black Black Black Blue Orange Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Orange Orange Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Orange Blue Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Brown Black Black Black Black Black\nBlack Black Black Black Black Yellow Brown Yellow Brown Yellow Black Black Black Black\nBlack Black Black Black Yellow Brown Blue Brown Brown Brown Yellow Black Black Black\nBlack Black Black Black Black Blue Yellow Blue Blue Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Yellow Brown Yellow Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Blue Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black\nBlack Red Red Red Red Black\nBlack Red Red Red Red Black\nBlack Red Red Red Red Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black\nBlack Orange Orange Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Blue Blue Black\nBlack Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black\nBlack Black Brown Brown Brown Brown Black\nBlack Black Brown Brown Brown Brown Black\nBlack Black Brown Brown Brown Brown Black\nBlack Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack 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```\nBlack Black Black Black\nBlack Blue Blue Black\nBlack Blue Blue Black\nBlack Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black\nBlack Black Black Green Black Black Black Black\nBlack Black Black Black Red Black Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Orange\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\n\n\nExample 2\nInput:\nGray Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Black Purple Black Black Black Black\nBlack Black Black Brown Black Black Black\nBlack Black Black Black Blue Black Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Green\n\nOutput:\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple 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 Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\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 Brown Black Black Black\nBlack Black 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 Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\n\n\nExample 3\nInput:\nBrown Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Blue\n\nOutput:\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black 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 Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black 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 Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Gray Brown Brown Brown Black Black Black Black\nBlack Black Black Pink Pink Gray Pink Gray Gray Gray Gray Gray Brown Brown Black Black Black\nBlack Black Black Pink Gray Gray Gray Gray Gray Gray Gray Red Pink Red Black Black Black\nBlack Black Pink Pink Yellow Black Black Black Black Black Pink Pink Pink Pink Pink Red Black\nBlack Black Black Pink Purple Black Black Black Black Black Pink Pink Pink Pink Pink Red Black\nBlack Black Black Purple Purple Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Red\nBlack Black Black Black Purple Black Black Black Black Black Pink Pink Pink Pink Pink Brown Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Red Black Brown Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Red Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Brown Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Orange Pink Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Pink Pink Pink Brown Brown Black Black Yellow Yellow Yellow Black Black\nBlack Green Pink Pink Pink Pink Pink Orange Green Green Black Brown Black Black Black\nBlack Green Green Pink Pink Pink Orange Pink Green Green Brown Brown Brown Brown Black\nGreen Green Green Orange Pink Orange Pink Pink Green Green Green Black Brown Brown Black\nBlack Green Green Green Green Orange Black Green Green Green Green Green Brown Brown Brown\nBlack Green Green Green Green Green Black Black Green Green Green Black Brown Brown Yellow\nBlack Black Black Green Black Black Black Black Black Green Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack 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\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\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Gray Gray Green Black Red Red Red Red Red Black Black Black Black\nBlack Black Gray Green Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Green Black Brown Black Black Black Black Black\nBlack Gray Pink Green Black Black Black Black Red Brown Brown Brown Black Black Black Black\nGray Gray Gray Green Green Green Green Green Purple Red Brown Black Black Black Black Black\nGray Gray Gray Gray Pink Green Pink Purple Purple Purple Black Black Black Black Black Gray\nGray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Gray Pink Pink Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Purple Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Red Black Black Black Black Brown Black\nBlack Green Green Green Green Green Red Red Red Yellow Red Brown Brown Brown\nBlack Black Black Green Black Red Red Red Red Black Black Red Brown Black\nBlack Black Black Black Black Red Red Red Red Red Black Yellow Red Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black\nBlack Black Yellow Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Yellow Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Green Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Gray Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Gray Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Purple Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Purple Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\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 Pink 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 Pink Pink\nBlack Black Black Black Black Black Black Pink\n\n\nExample 2\nInput:\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\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 Yellow Black Black\nBlack Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown 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 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Purple Purple Purple Black\nBlack Black Pink Pink Pink Pink Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Pink Pink Pink Black\nBlack Black Black Black Brown Brown Brown Brown Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Purple Purple Purple Black\nBlack Black Pink Pink Pink Pink Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Pink Pink Pink Black\nBlack Black Black Black Brown Brown Brown Brown Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Blue Blue Blue Black\nBlack Black Black Red Red Red Red Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Yellow Yellow Yellow Black\nBlack Black Black Red Red Red Red Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black\n\n\nExample 3\nInput:\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red\nGreen Green Green Black Black Black Black Black Black Red Red Red\nGreen Green Green Black Black Black Black Black Black Red Red Red\nGreen Green Green Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\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 Brown Brown Brown Black Black Gray Gray Gray Black Black Black Black\nBlack Black Brown Brown Brown Black Black Gray Gray Gray Black Black Black Black\nBlack Black Brown Brown Brown Black Black Gray Gray Gray Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Gray Gray Gray Black Black Black Black\nBlack Black Brown Brown Brown Black Black Gray Gray Gray Black Black Black Black\nBlack Black Brown Brown Brown Black Black Gray Gray Gray Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 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 Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Purple Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Purple Purple Black Black Orange Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Purple Purple Black Orange Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Purple Purple Black Black Orange Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Purple Purple Black Orange Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Pink Pink Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Pink Pink Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Blue Blue Blue Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Pink Pink Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Pink Pink Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Pink Pink Black Blue Blue Blue Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Green Green Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Green Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Orange Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Green Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Green Green Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Green Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Black Pink Pink Pink Pink Pink Black Black Black Orange Black Black\nBlack Orange Orange Orange Black Pink Pink Pink Pink Pink Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black 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 Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Orange Orange Orange Orange Orange Orange Red Red Red Red Red Black Black\nBlack Orange Orange Orange Orange Orange Orange Red Red Red Red Red Black Black\nBlack Orange Orange Orange Orange Orange Orange Red Red Red Red Red Black Black\nBlack Orange Orange Orange Orange Orange Orange Red Red Red Red Red Black Black\nBlack Orange Orange Orange Orange Orange Orange Red Red Red Red Red Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Yellow Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Yellow Black Pink Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Yellow Orange Pink Orange Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black Pink Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Black Black Black Gray\nGray Gray Gray Gray Gray Black Black Gray Black Black Black Gray\nGray Gray Black Black Gray Black Black Gray Black Black Black Gray\nGray Gray Black Black Gray Black Black Gray Gray Gray Gray Gray\nGray Gray Black Black Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Black Black Black Gray\nBlack Black Black Black Black Black Black Gray Black Black Black Gray\nBlack Black Black Black Black Black Black Gray Black Black Black Gray\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Green Green Green Gray\nGray Gray Gray Gray Gray Black Black Gray Green Green Green Gray\nGray Gray Green Green Gray Black Black Gray Green Green Green Gray\nGray Gray Green Green Gray Black Black Gray Gray Gray Gray Gray\nGray Gray Green Green Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Green Green Green Gray\nBlack Black Black Black Black Black Black Gray Green Green Green Gray\nBlack Black Black Black Black Black Black Gray Green Green Green Gray\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Black Black Gray Gray Black Black\nBlack Black Black Black Black Gray Black Black Gray Gray Black Black\nBlack Black Black Black Black Gray Black Black Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Green Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Green Green Gray Gray Black Black\nBlack Black Black Black Black Gray Green Green Gray Gray Black Black\nBlack Black Black Black Black Gray Green Green Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray 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 Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray\nBlack Gray Gray Black Gray Black Black Gray Gray Black Black Gray\nBlack Gray Gray Gray Gray Black Black Gray Gray Black Black Gray\nBlack Black Black Black Black Black Black Gray Gray Black Black Gray\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray\nBlack Gray Gray Green Gray Black Black Gray Gray Green Green Gray\nBlack Gray Gray Gray Gray Black Black Gray Gray Green Green Gray\nBlack Black Black Black Black Black Black Gray Gray Green Green Gray\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Black Black Gray Black Black\nGray Gray Gray Gray Black Black Gray Black Black Gray Black Black\nGray Black Gray Gray Black Black Gray Gray Gray Gray Black Black\nGray Black Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Green Green Gray Black Black\nGray Gray Gray Gray Black Black Gray Green Green Gray Black Black\nGray Green Gray Gray Black Black Gray Gray Gray Gray Black Black\nGray Green Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack 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\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\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Brown Brown Brown Brown Black Black Black Black\nPurple Purple Purple Purple Black Brown Brown Brown Brown Black Black Black Black\nPurple Purple Purple Purple Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Yellow Yellow Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Purple Purple Blue Black Blue Blue Blue Blue Black Black Black Black\nBlue Purple Purple Blue Black Blue Brown Brown Blue Black Black Black Black\nBlue Blue Blue Blue Black Blue Brown Brown Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Brown Blue\nBlack Black Black Black Black Black Black Black Black Blue Brown Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Green Blue Black Black Black Black Black Black\nBlack Black Black Blue Green Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Gray Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Gray Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Gray Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 Blue Blue Black\nBlack 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 Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Red Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Red Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Brown Brown Brown Brown\nBrown Yellow Yellow Black Black Brown\nBrown Yellow Yellow Black Black Brown\nBrown Black Black Purple Purple Brown\nBrown Black Black Purple Purple Brown\nBrown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown\nBrown Green Green Black Black Brown\nBrown Green Green Black Black Brown\nBrown Black Black Pink Pink Brown\nBrown Black Black Pink Pink Brown\nBrown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink\nPink Green Green Black Black Pink\nPink Green Green Black Black Pink\nPink Black Black Orange Orange Pink\nPink Black Black Orange Orange Pink\nPink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Orange Orange Orange\nOrange Gray Gray Black Black Orange\nOrange Gray Gray Black Black Orange\nOrange Black Black Pink Pink Orange\nOrange Black Black Pink Pink Orange\nOrange Orange Orange Orange Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown 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\nBrown Brown Brown 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\nBrown Brown Brown Brown Brown Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink 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\nBlack Black Black Black Pink Pink Pink Pink 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 Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 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 Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green 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 Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Black Black Black Black\nBlack Black Black Green Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black 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\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Black Black Blue Blue Blue Black Black\nBlack Orange Orange Orange Black Blue Blue Blue Black Black\nBlack Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Brown Black Black Gray Gray\nBlack Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Yellow 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 Brown Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Brown Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Black Orange Black Orange Black\nBlack Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Green Green Black Red Red Red Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Blue Black\nPurple Purple Purple Black Black Yellow Yellow Yellow Black Black\nPurple Purple Purple Black Black Black Black Black Purple 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 Pink Black Black Black\nBlack Black Black Green Green Green Black Yellow Yellow Yellow\nBlack Black Black Green Black Green Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Gray\nBrown Brown Brown Black Gray Black Black Orange Orange Orange\nBlack Brown Black Black Gray Purple Black Black Orange Orange\nBlack Black Black Black Gray Gray Black Orange Orange Orange\nBlack Black Green 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Gray Black Black Black Black Red Red Red Black\nGray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Brown Black\nBlack Pink Green Black Black Black Brown Brown Brown Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Green Black Gray Gray Black Black Purple Purple Purple\nBlack Black Gray Gray Gray Black Black Purple Purple Purple\nBlack Black Black Black Black Green Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\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 Black Black Black\nBlack Black Green Orange Purple Pink Black\nBlack Black Gray Red Blue Brown Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Green Orange Purple Pink Black\nBlack Gray Green Red Blue Brown Black\nBlack Red Orange Black Black Black Black\nBlack Blue Purple Black Black Black Black\nBlack Brown Pink Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Gray Pink Green Blue Black Black Black Black\nBlack Yellow Purple Brown Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Gray Pink Green Blue Black Black Black Black\nBlack Yellow Purple Brown Red Black Black Black Black\nBlack Yellow Gray Black Black Black Black Black Black\nBlack Purple Pink Black Black Black Black Black Black\nBlack Brown Green Black Black Black Black Black Black\nBlack Red Blue Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Red Brown Gray Black Black Black Black Black\nBlack Purple Blue Pink Black Black Black Black Black\nBlack Green Orange Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Purple Red Black Black Black\nBlack Red Brown Orange Blue Brown Black Black Black\nBlack Purple Blue Yellow Pink Gray Black Black Black\nBlack Green Orange Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray Yellow Black Black Black Black Black\nBlack Black Brown Red Black Black Black Black Black\nBlack Black Black 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 Gray Brown Gray Black Black Black Black\nBlack Black Brown Red Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Purple Purple Yellow Yellow Pink Purple Orange Brown Purple Black\nPurple Pink Brown Red Pink Pink Red Purple Pink Black Black\nPurple Brown Red Brown Red Orange Purple Pink Black Black Black\nYellow Red Brown Purple Brown Purple Brown Black Black Black Black\nYellow Pink Red Brown Pink Red Black Black Black Black Black\nPink Pink Orange Purple Red Black Black Black Black Black Black\nPurple Red Purple Brown Black Black Black Black Black Black Black\nOrange Purple Pink Black Black Black Black Black Black Black Black\nBrown Pink Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBrown Pink Yellow Purple Pink Orange Red Black\nPink Brown Red Red Purple Orange Black Black\nYellow Red Brown Purple Red Black Black Black\nPurple Red Purple Red Black Black Black Black\nPink Purple Red Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nPurple Brown Purple Brown Purple Red Red Black\nBrown Yellow Brown Orange Pink Brown Black Black\nPurple Brown Yellow Pink Red Black Black Black\nBrown Orange Pink Pink Black Black Black Black\nPurple Pink Red Black Black Black Black Black\nRed Brown Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Brown Brown Yellow Yellow Yellow Orange Black\nPurple Orange Brown Brown Yellow Purple Yellow Red Black Black\nPurple Brown Red Red Orange Brown Red Black Black Black\nBrown Brown Red Pink Purple Brown Black Black Black Black\nBrown Yellow Orange Purple Red Black Black Black Black Black\nYellow Purple Brown Brown Black Black Black Black Black Black\nYellow Yellow Red Black Black Black Black Black Black Black\nYellow Red Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Yellow Pink Brown Purple\nGray Pink Orange Brown Green\nGreen Orange Orange Brown Orange\nGray Orange Blue Pink Gray\n\nOutput:\nPurple Brown Pink Red Pink\nBlue Brown Orange Pink Gray\nOrange Brown Orange Orange Blue\nGray Pink Green Orange Gray\n\n\nExample 2\nInput:\nOrange Yellow Blue Red\nGreen Pink Blue Gray\nRed Orange Brown Blue\nPurple Brown Gray Brown\nBrown Purple Purple Brown\n\nOutput:\nYellow Green Red Orange\nGray Green Pink Blue\nGreen Brown Orange Yellow\nBrown Gray Brown Purple\nBrown Purple Purple Brown\n\n\nExample 3\nInput:\nGray Brown Yellow Yellow Red\nGreen Blue Orange Purple Pink\nOrange Gray Pink Blue Purple\nYellow Orange Green Purple Blue\nBlue Brown Green Orange Gray\n\nOutput:\nYellow Red Red Brown Gray\nPink Purple Orange Green Blue\nPurple Green Pink Gray Orange\nGreen Purple Blue Orange Red\nGray Orange Blue Brown Green\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Green\nPink Brown Gray\nBrown Blue Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Gray Pink\nGray Brown Pink\nPink Green Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Black Black Brown Black\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Brown Brown Black\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Black Brown Black Brown Brown Brown\nYellow Yellow Yellow Black Yellow Black Black Black Black Yellow Yellow Black Black Brown Brown Black Brown Brown\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Brown Brown Black Brown\nYellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Black Black Brown Brown Black Brown Brown\nBlack Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Black Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Brown Brown Black Brown Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Brown Black Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Brown Brown Black Brown\nBlack Black Black Yellow Black Yellow Yellow Black Yellow Yellow Yellow Black Black Brown Black Black Brown Brown\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Brown Black Brown Brown\nBlack Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Brown Brown Brown Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Brown Black Brown Brown Black Black Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Black Brown Brown Black Black Black Brown Brown Brown Black\nBlack Black Brown Black Brown Black Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Brown\nBrown Brown Brown Black Black Brown Brown Black Brown Brown Brown Black Black Black Black Brown Brown Brown\nBrown Black Black Black Black Brown Brown Black Brown Black Black Black Black Brown Black Brown Brown Brown\nBrown Brown Black Brown Brown Brown Brown Brown Brown Black Brown Black Black Brown Brown Black Brown Black\nBrown Black Brown Brown Brown Black Black Brown Brown Black Brown Black Black Brown Brown Brown Brown Black\nBrown Brown Brown Black Brown Black Brown Black Brown Brown Black Black Black Black Brown Brown Black Brown\nBlack Black Brown Black Brown Brown Brown Black Brown Black Brown Black Black Brown Brown Black Brown Brown\nBrown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown\nBrown Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Black Brown Brown Brown\nBrown Brown Black Brown Black Black Brown Black Brown Brown Black Black Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Brown Brown Black Brown Black Black Black Black Brown Brown Black Brown Black\n\nOutput:\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Black Yellow Black Black Black Black Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Black Black Yellow Black Yellow Yellow Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Black Black Black Green Black Black Black Black Orange Orange Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Green Black Green Black Green Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Green Green Green Green Green Green Green Green Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Black Black Green Green Green Green Black Black Orange Black Black Black Black Orange Black Orange Orange\nBlack Black Green Black Green Black Green Green Green Black Black Orange Black Orange Orange Orange Black Orange Orange Orange\nGreen Black Black Green Green Black Green Green Black Black Black Orange Orange Orange Black Black Orange Orange Orange Orange\nGreen Green Green Green Green Black Green Green Green Black Black Black Orange Orange Orange Orange Orange Orange Black Orange\nGreen Black Black Green Green Black Green Green Green Black Black Orange Orange Orange Orange Orange Black Orange Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Green Green Green Green Green Green Black Black Green Green Black Green Black Black Black Green Black\nGreen Green Black Green Green Black Green Black Black Black Black Green Green Black Green Green Black Green Green Green\nGreen Green Black Green Green Green Green Green Green Black Black Black Green Green Green Black Green Green Green Green\nGreen Green Green Green Black Black Green Green Black Black Black Green Green Green Black Green Green Black Green Green\nGreen Green Green Green Green Black Green Green Black Black Black Green Green Green Black Green Black Green Green Black\nBlack Black Black Green Black Green Black Green Green Black Black Green Green Green Green Green Green Green Black Green\nBlack Black Green Green Green Black Black Green Black Black Black Green Green Green Black Black Green Green Green Green\nGreen Black Green Green Green Green Green Black Green Black Black Green Green Green Green Green Green Green Green Green\n\nOutput:\nOrange Orange Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Black Orange Black Orange Orange\nOrange Black Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Black Black Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Black Orange\nOrange Orange Orange Orange Orange Black Orange Black Orange\n\n\nExample 3\nInput:\nBlack Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray\nBlack Gray Gray Black Black Gray Black Gray Gray Black Gray Black Black Gray Black Black Gray Black Gray Black Black\nGray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Black Gray Black Black Gray Black Gray Gray Gray\nGray Gray Gray Gray Black Black Gray Black Gray Gray Black Gray Gray Black Black Black Gray Black Gray Gray Gray\nGray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Gray Black Black Black Gray Gray Black Black\nBlack Gray Black Gray Black Gray Gray Gray Gray Gray Gray Black Black Gray Black Black Gray Gray Gray Gray Black\nGray Gray Black Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Gray Black Gray Gray Gray Gray Black Black Gray Black Gray Black Gray\nBlack Gray Gray Black Gray Gray Black Gray Gray Gray Gray Black Gray Gray Black Black Black Gray Gray Gray 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\nPink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Black Black Black Gray Gray Black Black Gray\nPink Pink Black Pink Pink Pink Pink Pink Pink Black Black Pink Black Pink Black Black Gray Gray Gray Black Gray\nPink Pink Black Pink Pink Pink Black Pink Black Pink Pink Pink Black Black Black Black Gray Gray Black Black Black\n\nOutput:\nPink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Black\nPink Pink Black Pink Pink Pink Pink Pink Pink Black Black Pink Black Pink\nPink Pink Black Pink Pink Pink Black Pink Black Pink Pink Pink Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Red Red Red Red Black Black Red Red Red Black Black Brown Brown Black Black Black Brown\nRed Red Black Red Black Red Red Black Red Red Red Black Black Brown Brown Black Black Black Brown\nBlack Red Red Black Red Red Red Red Red Red Red Black Black Black Black Brown Brown Brown Brown\nBlack Red Black Red Black Red Red Red Red Red Red Black Black Brown Brown Brown Brown Brown Black\nBlack Red Red Red Black Black Red Red Red Red Red Black Black Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Black Black Black Brown Brown Brown Brown Brown\nBlack Red Red Red Red Red Red Red Red Red Red Black Black Black Brown Brown Brown Brown Black\nBlack Red Black Black Black Red Red Red Red Black Red Black Black Brown Black Brown Black Black Black\nRed Black Red Black Red Red Red Black Black Red Red Black Black Black Brown Black Black Brown Black\nBlack Red Red Red Black Red Black Red Red Red Red Black Black Brown Black Brown Black Black Brown\nBlack Red Red Black Red Red Red Red Red Black Red Black Black Brown Brown Black Brown Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Red Red Red Black Black Red Red Black Black Black Black Red Red Red Red Red Red\nBlack Red Red Black Red Black Black Black Red Red Red Black Black Black Red Black Black Red Red\nBlack Black Black Black Red Red Black Black Black Red Red Black Black Black Black Black Red Red Red\nRed Red Red Black Red Red Black Black Red Red Red Black Black Red Red Red Red Black Red\nRed Red Black Black Red Red Red Black Red Black Red Black Black Red Red Red Red Red Black\nBlack Red Red Black Red Red Red Red Black Red Black Black Black Red Red Black Red Black Red\nRed Red Red Red Black Red Red Red Black Black Red Black Black Red Red Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Black Black Black Brown\nBrown Brown Black Black Black Brown\nBlack Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown\nBlack Brown Brown Brown Brown Brown\nBlack Brown Brown Brown Brown Black\nBrown Black Brown Black Black Black\nBlack Brown Black Black Brown Black\nBrown Black Brown Black Black Brown\nBrown Brown Black Brown Black 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 Orange Black\nOrange Black Orange Black Black Black Black Black\nOrange Black Black Black Orange Black Orange Orange\nBlack Black Black Black Orange Black Orange Black\nBlack Black Black Black Black Orange Black Orange\nBlack Orange Orange Black Orange Black Orange Black\nOrange Black Black Black Black Orange Orange Black\nBlack Black Black Black Orange Black Orange Black\n\nOutput:\nBlack Black Black Black Black Black Green Black\nGreen Black Green Black Black Black Black Black\nGreen Black Black Black Green Black Green Green\nBlack Black Black Black Green Black Green Black\nBlack Black Black Black Black Green Black Green\nBlack Green Green Black Green Black Green Black\nGreen Black Black Black Black Green Green Black\nBlack Black Black Black Green Black Green Black\n\n\nExample 2\nInput:\nBlack Black Orange Orange Orange Orange Orange\nOrange Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Black Orange Black Black Black Black\nBlack Orange Black Black Black Black Orange\nOrange Orange Black Black Black Black Orange\nBlack Black Black Black Orange Black Black\n\nOutput:\nBlack Black Green Green Green Green Green\nGreen Black Green Black Black Black Black\nBlack Black Black Black Black Black Black\nGreen Black Green Black Black Black Black\nBlack Green Black Black Black Black Green\nGreen Green Black Black Black Black Green\nBlack Black Black Black Green Black Black\n\n\nExample 3\nInput:\nOrange Black Black Orange Black Black Orange Black Black\nOrange Black Black Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Orange Black Black\nBlack Orange Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Orange Black Orange Black\nBlack Black Orange Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Black\n\nOutput:\nGreen Black Black Green Black Black Green Black Black\nGreen Black Black Green Black Black Black Black Black\nBlack Black Green Black Black Black Green Black Black\nBlack Green Black Black Green Black Green Black Black\nBlack Black Black Black Black Green Black Green Black\nBlack Black Green Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Green Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Orange Black Black Black Orange Black Black\nBlack Black Black Black Black Orange Black Orange Black\nBlack Black Black Black Orange Orange Black Black Orange\nBlack Black Black Black Black Black Black Orange Black\nOrange Black Black Black Black Black Black Black Black\nBlack Black Orange Black Orange Orange Black Orange Orange\nBlack Orange Black Black Black Orange Black Orange Black\nBlack Black Black Orange Black Black Orange Black Orange\nOrange Orange Black Orange Orange Black Orange Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Green Black Black Black Green Black Black\nBlack Black Black Black Black Green Black Green Black\nBlack Black Black Black Green Green Black Black Green\nBlack Black Black Black Black Black Black Green Black\nGreen Black Black Black Black Black Black Black Black\nBlack Black Green Black Green Green Black Green Green\nBlack Green Black Black Black Green Black Green Black\nBlack Black Black Green Black Black Green Black Green\nGreen Green Black Green Green Black Green Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Brown Yellow Red Blue Green Purple Orange\nRed Yellow Blue Brown Purple Pink Orange Green\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:\nRed Yellow Blue Brown Purple Pink Orange Green\nRed Yellow Blue Brown Purple Pink Orange Green\nRed Yellow Blue Brown Purple Pink Orange Green\nRed Yellow Blue Brown Purple Pink Orange Green\nRed Yellow Blue Brown Purple Pink Orange Green\nRed Yellow Blue Brown Purple Pink Orange Green\nRed Yellow Blue Brown Purple Pink Orange Green\nRed Yellow Blue Brown Purple Pink Orange Green\n\n\nExample 2\nInput:\nOrange Purple Gray Pink Red Green Brown\nOrange Green Yellow Pink Blue Purple Brown\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange Green Yellow Pink Blue Purple Brown\nOrange Green Yellow Pink Blue Purple Brown\nOrange Green Yellow Pink Blue Purple Brown\nOrange Green Yellow Pink Blue Purple Brown\nOrange Green Yellow Pink Blue Purple Brown\nOrange Green Yellow Pink Blue Purple Brown\nOrange Green Yellow Pink Blue Purple Brown\n\n\nExample 3\nInput:\nPink Blue Orange Gray Red Green Purple\nPurple Brown Yellow Red Gray Pink Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPurple Brown Yellow Red Gray Pink Orange\nPurple Brown Yellow Red Gray Pink Orange\nPurple Brown Yellow Red Gray Pink Orange\nPurple Brown Yellow Red Gray Pink Orange\nPurple Brown Yellow Red Gray Pink Orange\nPurple Brown Yellow Red Gray Pink Orange\nPurple Brown Yellow Red Gray Pink Orange\nPink Blue Orange Gray Red Green Purple\nPink Blue Orange Gray Red Green Purple\n\n\nHere is the input grid for the test example:\nInput:\nYellow Brown Blue Orange Green Purple Red Gray Pink\nGreen Yellow Purple Red Orange Gray Pink Blue Brown\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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```\nGreen Yellow Purple Red Orange Gray Pink Blue Brown\nGreen Yellow Purple Red Orange Gray Pink Blue Brown\nGreen Yellow Purple Red Orange Gray Pink Blue Brown\nGreen Yellow Purple Red Orange Gray Pink Blue Brown\nGreen Yellow Purple Red Orange Gray Pink Blue Brown\nGreen Yellow Purple Red Orange Gray Pink Blue Brown\nGreen Yellow Purple Red Orange Gray Pink Blue Brown\nGreen Yellow Purple Red Orange Gray Pink Blue Brown\nGreen Yellow Purple Red Orange Gray Pink Blue Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Yellow Yellow Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Pink Pink Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black\nBlue Blue 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink 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 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\nBlack Blue Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue 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 Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Red Red Red Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Green Green Green Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black\nPurple Purple Green Green Black Black Black Black Black\nOrange Yellow Yellow Yellow Black Black Black Black Black\n\nOutput:\nBlack Red Red Red Red Red Red Black\nBlack Black Black Red Red Black Black Black\nBlack Black Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Purple Black Black Black\nBlack Green Purple Black Black Black\nBlack Green Purple Black Black Black\nGreen Green Black Black Black Black\nGreen Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Black Black\nBlack Red Red Red Red Black\nBlack Red Red Red Red Black\nRed Red Black Black Red Red\nRed Black Black Black Black Red\n\n\nExample 3\nInput:\nOrange Black Black Black Black Black\nPurple Black Black Black Black Black\nGray Gray Red Black Black Black\nGray Black Black Black Black Black\n\nOutput:\nRed Black Black Black Black Red\nRed Black Black Black Black Red\nRed Red Red Red Red Red\nRed Black Black Black Black Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Purple Black Black Black Black\nBlue Gray Purple Purple Black Black Black Black\nBlack Black Purple Yellow Black Black Black Black\nBlack Brown Orange Green Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Black Black\nBlack 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 Black Blue Black Blue Black Black\nBlack Black Black Black Yellow Black Black Black Black Orange Pink Black\nBlack Black Purple Black Pink Black Purple Black Black Black Black Black\nBlack Black Black Yellow Brown Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Yellow Orange\nBlack Black Black Black Purple Black Black Purple Black Blue Black Black\nBlack Black Purple Purple Orange Black Black Black Black Black Brown Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Green Black Blue Black Black\nBlack Black Black Black Yellow Black Black Black Black Orange Pink Black\nBlack Black Purple Black Pink Black Purple Black Black Black Black Black\nBlack Black Black Yellow Brown Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Yellow Orange\nBlack Black Black Black Purple Black Black Purple Black Blue Black Black\nBlack Black Purple Purple Orange Black Black Black Black Black Brown Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Orange Brown Black Purple Black\nBlack Black Black Yellow Black Black Brown Blue Black Black\nBlack Pink Black Blue Black Black Black Black Black Black\nPurple Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nGray Black Green Black Black Black Blue Black Black Blue\nBlack Black Black Blue Black Black Black Purple Black Black\n\nOutput:\nBlack Black Black Black Black Orange Brown Black Purple Black\nBlack Black Black Yellow Black Black Brown Green Black Black\nBlack Pink Black Blue Black Black Black Black Black Black\nPurple Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nGray Black Green Black Black Black Blue Black Black Blue\nBlack Black Black Blue Black Black Black Purple Black Black\n\n\nExample 3\nInput:\nBrown Black Black Black Black Black Purple Black Black Black Black\nBlue Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black\nBlack Black Gray Brown Black Black Black Blue Black Black Purple\nBlack Black Black Black Pink Black Gray Yellow Black Orange Blue\nBlack Black Black Black Black Black Black Brown Black Black Green\n\nOutput:\nBrown Black Black Black Black Black Purple Black Black Black Black\nGreen Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black\nBlack Black Gray Brown Black Black Black Blue Black Black Purple\nBlack Black Black Black Pink Black Gray Yellow Black Orange Blue\nBlack Black Black Black Black Black Black Brown Black Black Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Gray Yellow Black Black\nBlack Black Black Black Black Brown Black Orange Black\nBlack Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Blue Pink Black Black Black\nBlack Pink Black Black Black Black Black Blue Black\nBlack Black Gray Black Black Black Black Black Yellow\nBlack Black Black Black Brown Black Black Black Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Gray Yellow Black Black\nBlack Black Black Black Black Brown Black Orange Black\nBlack Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Green Pink Black Black Black\nBlack Pink Black Black Black Black Black Blue Black\nBlack Black Gray Black Black Black Black Black Yellow\nBlack Black Black Black Brown Black Black Black Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Gray Black Gray Black\nBlue Gray Black Gray Black Black Purple\nBlack Gray Black Black Black Black Black\nBlack Gray Black Black Black Gray Black\nBlack Black Black Yellow Black Black Black\n\nOutput:\nBlue Blue Blue Purple Purple Purple Purple\nBlue Blue Blue Purple Purple Purple Purple\nBlue Blue Blue Purple Purple Purple Purple\nBlue Blue Blue Purple Purple Purple Purple\nBlue Blue Blue Purple Purple Purple Purple\nBlue Blue Blue Purple Purple Purple Purple\nBlue Blue Blue Purple Purple Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Green Black Black Black\nBlack Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black\nPurple Gray Black Black Gray Black Pink\nBlack Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black\nBlack Black Black Orange Black Black Black\n\nOutput:\nPurple Purple Purple Pink Pink Pink Pink\nPurple Purple Purple Pink Pink Pink Pink\nPurple Purple Purple Pink Pink Pink Pink\nPurple Purple Purple Pink Pink Pink Pink\nPurple Purple Purple Pink Pink Pink Pink\nPurple Purple Purple Pink Pink Pink Pink\nPurple Purple Purple Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Gray Black Black Black\nBlack Gray Black Black Black Black Black\nBlack Gray Black Gray Gray Black Black\nGreen Black Black Gray Black Black Blue\nBlack Gray Black Black Black Gray Black\nBlack Gray Gray Gray Black Black Black\nBlack Black Black Pink Black Black Black\n\nOutput:\nGreen Green Green Blue Blue Blue Blue\nGreen Green Green Blue Blue Blue Blue\nGreen Green Green Blue Blue Blue Blue\nGreen Green Green Blue Blue Blue Blue\nGreen Green Green Blue Blue Blue Blue\nGreen Green Green Blue Blue Blue Blue\nGreen Green Green Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Red Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black\nGray Black Black Gray Black Gray Purple\nBlack Black Black Gray Black Black Black\nBlack Black Black Gray Gray Gray Black\nBlack Black Black Brown Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Purple Purple Purple Purple\nGray Gray Gray Purple Purple Purple Purple\nGray Gray Gray Purple Purple Purple Purple\nGray Gray Gray Purple Purple Purple Purple\nGray Gray Gray Purple Purple Purple Purple\nGray Gray Gray Purple Purple Purple Purple\nGray Gray Gray Purple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Gray Gray Pink Pink Orange\nYellow Yellow Brown Gray Gray Purple Purple Gray\nBrown Blue Pink Green Gray Purple Purple Pink\nBlue Gray Gray Brown Brown Orange Orange Blue\nPurple Red Red Blue Orange Orange Orange Pink\nGray Red Blue Blue Brown Brown Brown Red\nGray Yellow Blue Yellow Gray Red Red Red\nPurple Purple Red Blue Gray Gray Red Brown\n\nOutput:\nBrown Black Black Brown Yellow Gray Red Red\nBrown Red Green Green Black Yellow Red Red\nGreen Yellow Yellow Green Black Orange Gray Red\nYellow Red Yellow Yellow Gray Blue Black Black\nBlack Black Gray Purple Gray Black Black Black\nBlack Green Gray Purple Purple Brown Brown Orange\nGreen Green Gray Purple Purple Brown Brown Orange\nGray Green Green Orange Yellow Orange Black Purple\n\n\nExample 2\nInput:\nRed Red Purple Brown Brown Gray Yellow\nBlue Red Purple Orange Brown Gray Yellow\nBlue Gray Purple Orange Red Green Green\nBlue Gray Gray Yellow Green Green Green\nGreen Green Orange Purple Green Pink Yellow\nGray Brown Orange Purple Blue Pink Pink\nOrange Orange Green Purple Pink Pink Purple\n\nOutput:\nPurple Black Blue Yellow Yellow Yellow Green\nPurple Gray Blue Black Black Green Green\nBlue Purple Purple Black Brown Brown Brown\nBrown Brown Brown Red Purple Purple Gray\nOrange Yellow Blue Blue Green Gray Gray\nOrange Orange Orange Blue Blue Black Black\nBrown Orange Red Blue Blue Red Red\n\n\nExample 3\nInput:\nOrange Orange Purple Brown Pink Pink Pink Gray Green\nOrange Orange Brown Brown Purple Green Green Green Green\nBlue Pink Pink Brown Purple Orange Green Green Yellow\nBlue Brown Brown Brown Blue Blue Pink Green Purple\nGray Gray Brown Pink Red Purple Purple Green Green\nGray Gray Orange Brown Red Blue Green Blue Blue\nPurple Gray Blue Blue Yellow Red Red Brown Brown\n\nOutput:\nBrown Black Black Yellow Yellow Purple Purple\nBlack Black Black Gray Orange Purple Purple\nYellow Purple Gray Gray Orange Gray Brown\nYellow Gray Orange Gray Gray Gray Gray\nRed Green Green Yellow Brown Brown Orange\nGreen Yellow Brown Yellow Purple Blue Orange\nGreen Blue Brown Orange Blue Blue Orange\nGray Yellow Blue Blue Blue Blue Black\nGray Yellow Blue Brown Red Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nPurple Pink Pink Pink Purple Purple Purple Green Pink\nPink Pink Pink Pink Gray Gray Gray Yellow Yellow\nPink Pink Purple Brown Brown Yellow Yellow Yellow Purple\nRed Gray Purple Orange Purple Green Green Purple Purple\nGray Orange Brown Brown Purple Yellow Green Yellow Purple\nBrown Green Brown Brown Brown Pink Yellow Green Purple\nYellow Green Orange Gray Pink Pink Pink Purple Purple\nYellow Brown Brown Green Pink Red Pink Blue Yellow\nYellow Pink Pink Green Red Red Pink Brown Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Gray Black Green Orange Orange Brown\nOrange Gray Blue Blue Purple Black Orange Orange Orange\nOrange Gray Purple Gray Gray Brown Brown Orange Orange\nBlue Blue Black Gray Gray Purple Gray Orange Orange\nGreen Orange Orange Gray Brown Brown Gray Black Brown\nGreen Green Orange Orange Red Blue Red Black Brown\nOrange Orange Orange Red Blue Blue Red Black Brown\nGray Yellow Brown Blue Red Brown Red Red Blue\nGreen Red Brown Brown Brown Brown Brown Red Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Purple Orange Pink Yellow Pink Brown Purple Black\nBlack Gray Pink Orange Brown Green Green Orange Orange Black\nBlack Brown Orange Gray Orange Blue Pink Gray Purple Black\nBlack Orange Yellow Purple Red Orange Orange Green Orange Black\nBlack Blue Purple Green Green Green Purple Yellow Gray Black\nBlack Brown Purple Brown Orange Yellow Yellow Green Orange Black\nBlack Purple Gray Pink Pink Purple Gray Brown Blue Black\nBlack Purple Purple Yellow Yellow Gray Yellow Pink Blue Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Purple Orange Pink Yellow Pink Brown Purple Black\nYellow Yellow Purple Orange Pink Yellow Pink Brown Purple Purple\nGray Gray Pink Orange Brown Green Green Orange Orange Orange\nBrown Brown Orange Gray Orange Blue Pink Gray Purple Purple\nOrange Orange Yellow Purple Red Orange Orange Green Orange Orange\nBlue Blue Purple Green Green Green Purple Yellow Gray Gray\nBrown Brown Purple Brown Orange Yellow Yellow Green Orange Orange\nPurple Purple Gray Pink Pink Purple Gray Brown Blue Blue\nPurple Purple Purple Yellow Yellow Gray Yellow Pink Blue Blue\nBlack Purple Purple Yellow Yellow Gray Yellow Pink Blue Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Pink Orange Yellow Blue Red Green Pink Black\nBlack Blue Gray Red Orange Brown Blue Purple Brown Black\nBlack Gray Brown Brown Purple Purple Brown Pink Orange Black\nBlack Blue Orange Brown Pink Green Green Yellow Yellow Black\nBlack Orange Yellow Blue Purple Purple Pink Orange Blue Black\nBlack Green Red Pink Blue Purple Red Purple Gray Black\nBlack Pink Gray Yellow Purple Pink Orange Red Pink Black\nBlack Orange Yellow Brown Gray Gray Orange Pink Orange Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Pink Orange Yellow Blue Red Green Pink Black\nGreen Green Pink Orange Yellow Blue Red Green Pink Pink\nBlue Blue Gray Red Orange Brown Blue Purple Brown Brown\nGray Gray Brown Brown Purple Purple Brown Pink Orange Orange\nBlue Blue Orange Brown Pink Green Green Yellow Yellow Yellow\nOrange Orange Yellow Blue Purple Purple Pink Orange Blue Blue\nGreen Green Red Pink Blue Purple Red Purple Gray Gray\nPink Pink Gray Yellow Purple Pink Orange Red Pink Pink\nOrange Orange Yellow Brown Gray Gray Orange Pink Orange Orange\nBlack Orange Yellow Brown Gray Gray Orange Pink Orange Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Orange Gray Brown Yellow Yellow Red Green Black\nBlack Blue Orange Purple Pink Orange Gray Pink Blue Black\nBlack Purple Yellow Orange Green Purple Blue Blue Brown Black\nBlack Green Orange Gray Red Yellow Pink Purple Orange Black\nBlack Gray Pink Purple Brown Yellow Brown Pink Blue Black\nBlack Gray Green Gray Blue Blue Purple Orange Purple Black\nBlack Red Brown Green Blue Green Yellow Green Blue Black\nBlack Yellow Yellow Blue Orange Yellow Brown Brown Pink Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Orange Gray Brown Yellow Yellow Red Green Black\nGreen Green Orange Gray Brown Yellow Yellow Red Green Green\nBlue Blue Orange Purple Pink Orange Gray Pink Blue Blue\nPurple Purple Yellow Orange Green Purple Blue Blue Brown Brown\nGreen Green Orange Gray Red Yellow Pink Purple Orange Orange\nGray Gray Pink Purple Brown Yellow Brown Pink Blue Blue\nGray Gray Green Gray Blue Blue Purple Orange Purple Purple\nRed Red Brown Green Blue Green Yellow Green Blue Blue\nYellow Yellow Yellow Blue Orange Yellow Brown Brown Pink Pink\nBlack Yellow Yellow Blue Orange Yellow Brown Brown Pink Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Pink Gray Green Pink Brown Gray Black\nBlack Brown Blue Pink Gray Pink Gray Pink Brown Black\nBlack Brown Orange Pink Pink Pink Purple Brown Yellow Black\nBlack Blue Orange Orange Pink Gray Blue Red Pink Black\nBlack Brown Red Purple Orange Blue Orange Yellow Purple Black\nBlack Green Gray Orange Red Pink Green Green Brown Black\nBlack Orange Purple Purple Yellow Blue Green Red Purple Black\nBlack Purple Brown Orange Brown Yellow Blue Pink Blue Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Gray Pink Gray Green Pink Brown Gray Black\nGray Gray Gray Pink Gray Green Pink Brown Gray Gray\nBrown Brown Blue Pink Gray Pink Gray Pink Brown Brown\nBrown Brown Orange Pink Pink Pink Purple Brown Yellow Yellow\nBlue Blue Orange Orange Pink Gray Blue Red Pink Pink\nBrown Brown Red Purple Orange Blue Orange Yellow Purple Purple\nGreen Green Gray Orange Red Pink Green Green Brown Brown\nOrange Orange Purple Purple Yellow Blue Green Red Purple Purple\nPurple Purple Brown Orange Brown Yellow Blue Pink Blue Blue\nBlack Purple Brown Orange Brown Yellow Blue Pink Blue Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack 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 Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Orange Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Orange Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Orange Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Orange Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Orange Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Orange Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Orange Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Orange Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Orange Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Orange Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack 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 Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\n\nOutput:\nGreen Green Green Green Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Orange Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Orange Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Orange Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Orange Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Orange Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Orange Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Orange Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Orange Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Orange Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue 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\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:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green Black\nBlue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green Black\nBlue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Green Green Black Green Green Black Green Green Black Green Green Black Green Green Black\nBlue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Blue Blue Purple Black Black Black Black Black Black Black\nBlack Black Black Black Purple Blue Blue Purple Black Black Black Black Black Black Black\nBlack Black Black Black Purple Blue Blue Purple Black Black Black Black Black Black Black\nBlack Black Black Black Purple Blue Blue Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue Black Blue Black Blue Black Blue Black Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue Black Blue Black Blue Black Blue Black Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue Black Blue Black Blue Black Blue Black Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue Black Blue Black Blue Black Blue Black Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue Black Blue Black Blue Black Blue Black Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue Black Blue Black Blue Black Blue Black Blue 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 Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Blue Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown\nBrown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown\nBrown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown\nBrown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown\nBrown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown\nBrown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Red Pink Purple Blue Green Yellow Orange Red Pink Purple Blue Green Yellow Orange Red Pink Purple Blue Green Yellow Orange Red Pink Purple Blue Green Yellow Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nGreen Yellow Orange Red Pink Purple Blue Green Yellow Orange Red Pink Purple Blue Green Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Yellow Orange Red Pink Purple Blue Green Yellow Orange Red Pink Purple Blue Green Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nPink Purple Blue Green Yellow Orange Red Pink Purple Blue Green Yellow Orange 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black 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\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 Purple\nBlack Black Black Black Black Black Purple Black\nBlack Black Black Black Black Purple Black Black\nPurple Black Black Black Purple Black Black Black\nBlack Purple Black Purple Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Purple Black Purple Black Black Black Black\nPurple Black Black Black Purple Black Black Black\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Orange Black Black Black Orange Black Black Black Black\nBlack Black Orange Black Orange Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Orange Black Orange Black Black Black Black Black\nBlack Orange Black Black Black Orange Black Black Black Black\nOrange Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black\n\n\nExample 3\nInput:\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Gray Black Black Black Black Black Black\nBlack Gray Black Black Black Gray Black Black Black Black Black\nGray Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray 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 Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Pink Black Black Black\nPink Black Black Black Pink Black Black Black Black\nBlack Pink Black Pink Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Pink Black Pink Black Black Black Black Black\nPink Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Pink Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Green Black Black Black Green Black Black Black Green Black\nBlack Black Green Green Black Black Green Green Black Black Green Green\nRed Red Red Blue Red Red Red Blue Red Red Red Blue\nBlack Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue\nBlack Black Green Black Black Black Green Black Black Black Green Black\nBlack Black Green Black Black Black Green Green Black Black Green Green\nRed Red Red Black Black Black Red Blue Red Red Red Blue\nBlack Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue\nBlack Black Green Black Black Black Green Black Black Black Green Black\nBlack Black Green Green Black Black Green Black Black Black Green Green\nRed Red Red Blue Red Red Red Blue Red Red Red Blue\nBlack Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue\n\nOutput:\nBlack Black Green Black Black Black Green Black Black Black Green Black\nBlack Black Green Green Black Black Green Green Black Black Green Green\nRed Red Red Blue Red Red Red Blue Red Red Red Blue\nBlack Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue\nBlack Black Green Black Black Black Green Black Black Black Green Black\nBlack Black Green Green Black Black Green Green Black Black Green Green\nRed Red Red Blue Red Red Red Blue Red Red Red Blue\nBlack Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue\nBlack Black Green Black Black Black Green Black Black Black Green Black\nBlack Black Green Green Black Black Green Green Black Black Green Green\nRed Red Red Blue Red Red Red Blue Red Red Red Blue\nBlack Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Orange Orange Orange Black Black Orange Orange Orange\nBlack Black Black Gray Orange Black Black Black Gray Orange\nBlack Black Pink Pink Orange Black Black Pink Pink Orange\nBlack Black Orange Yellow Gray Orange Orange Orange Yellow Gray\nBlack Black Orange Gray Gray Black Orange Orange Gray Gray\nBlack Black Orange Orange Orange Black Black Orange Orange Orange\nBlack Black Black Gray Orange Black Black Black Gray Orange\nBlack Black Pink Pink Orange Black Black Pink Pink Orange\nOrange Orange Orange Yellow Gray Orange Orange Orange Yellow Gray\nBlack Orange Orange Gray Gray Black Orange Orange Gray Gray\nBlack Black Orange Orange Orange Black Black Orange Orange Orange\nBlack Black Black Gray Orange Black Black Black Gray Orange\nBlack Black Pink Pink Orange Black Black Pink Pink Orange\nOrange Orange Orange Yellow Gray Orange Orange Orange Yellow Gray\nBlack Orange Orange Gray Gray Black Orange Orange Gray Gray\n\nOutput:\nBlack Black Orange Orange Orange Black Black Orange Orange Orange\nBlack Black Black Gray Orange Black Black Black Gray Orange\nBlack Black Pink Pink Orange Black Black Pink Pink Orange\nOrange Orange Orange Yellow Gray Orange Orange Orange Yellow Gray\nBlack Orange Orange Gray Gray Black Orange Orange Gray Gray\nBlack Black Orange Orange Orange Black Black Orange Orange Orange\nBlack Black Black Gray Orange Black Black Black Gray Orange\nBlack Black Pink Pink Orange Black Black Pink Pink Orange\nOrange Orange Orange Yellow Gray Orange Orange Orange Yellow Gray\nBlack Orange Orange Gray Gray Black Orange Orange Gray Gray\nBlack Black Orange Orange Orange Black Black Orange Orange Orange\nBlack Black Black Gray Orange Black Black Black Gray Orange\nBlack Black Pink Pink Orange Black Black Pink Pink Orange\nOrange Orange Orange Yellow Gray Orange Orange Orange Yellow Gray\nBlack Orange Orange Gray Gray Black Orange Orange Gray Gray\n\n\nExample 3\nInput:\nBlack Black Blue Black Black Blue Black Black Blue\nBlack Black Blue Black Black Blue Black Black Blue\nBlue Blue Yellow Blue Black Yellow Blue Blue Yellow\nBlack Black Blue Black Black Blue Black Black Blue\nBlack Black Blue Black Black Blue Black Black Blue\nBlue Blue Yellow Blue Blue Yellow Blue Blue Yellow\n\nOutput:\nBlack Black Blue Black Black Blue Black Black Blue\nBlack Black Blue Black Black Blue Black Black Blue\nBlue Blue Yellow Blue Blue Yellow Blue Blue Yellow\nBlack Black Blue Black Black Blue Black Black Blue\nBlack Black Blue Black Black Blue Black Black Blue\nBlue Blue Yellow Blue Blue Yellow Blue Blue Yellow\n\n\nHere is the input grid for the test example:\nInput:\nOrange Purple Black Black Black Orange Purple Black Black Black\nOrange Purple Black Black Black Orange Purple Black Black Black\nYellow Black Black Orange Orange Yellow Black Black Orange Orange\nYellow Black Black Orange Black Black Black Black Orange Orange\nYellow Orange Blue Blue Black Yellow Orange Blue Blue Black\nOrange Purple Black Black Black Orange Purple Black Black Black\nOrange Purple Black Black Black Orange Purple Black Black Black\nYellow Black Black Orange Orange Yellow Black Black Black Orange\nYellow Black Black Orange Orange Yellow Black Black Black Orange\nYellow Orange Blue Blue Black Yellow Orange Blue Blue Black\nOrange Purple Black Black Black Orange Purple Black Black Black\nOrange Purple Black Black Black Orange Black Black Black Black\nYellow Black Black Orange Orange Yellow Black Black Black Orange\nYellow Black Black Orange Orange Yellow Black Black Orange Orange\nYellow Orange Blue Blue Black Yellow Orange Blue Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Purple Black Black Black Orange Purple Black Black Black\nOrange Purple Black Black Black Orange Purple Black Black Black\nYellow Black Black Orange Orange Yellow Black Black Orange Orange\nYellow Black Black Orange Orange Yellow Black Black Orange Orange\nYellow Orange Blue Blue Black Yellow Orange Blue Blue Black\nOrange Purple Black Black Black Orange Purple Black Black Black\nOrange Purple Black Black Black Orange Purple Black Black Black\nYellow Black Black Orange Orange Yellow Black Black Orange Orange\nYellow Black Black Orange Orange Yellow Black Black Orange Orange\nYellow Orange Blue Blue Black Yellow Orange Blue Blue Black\nOrange Purple Black Black Black Orange Purple Black Black Black\nOrange Purple Black Black Black Orange Purple Black Black Black\nYellow Black Black Orange Orange Yellow Black Black Orange Orange\nYellow Black Black Orange Orange Yellow Black Black Orange Orange\nYellow Orange Blue Blue Black Yellow Orange Blue Blue Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Orange Black Orange Orange Black Black Black Black Black Black Black\nOrange Black Black Orange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Orange Black Black Black Black Black Black\nBlack Orange Black Orange Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Orange Black Black Black Black Black Black\nOrange Orange Orange Black Orange Orange Black Black Black Black Black Black\nOrange Black Orange Orange Orange Black Black Black Black Black Black Black\nOrange Black Black Orange Orange Black Black Black Black Black Black Black\n\nOutput:\nBlack Orange Black Orange Orange Black Black Orange Orange Black Orange Black\nOrange Black Black Orange Black Black Black Black Orange Black Black Orange\nOrange Black Black Black Black Orange Orange Black Black Black Black Orange\nBlack Orange Black Orange Black Black Black Black Orange Black Orange Black\nBlack Orange Black Black Black Orange Orange Black Black Black Orange Black\nOrange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange\nOrange Black Orange Orange Orange Black Black Orange Orange Orange Black Orange\nOrange Black Black Orange Orange Black Black Orange Orange Black Black Orange\n\n\nExample 2\nInput:\nBlack Orange Black Black Orange Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Black Orange Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Black Orange Orange Black Black Black Black Black\nOrange Black Orange Black Orange Black Black Black Black Black\nOrange Black Orange Orange Black Black Black Black Black Black\n\nOutput:\nBlack Orange Black Black Orange Orange Black Black Orange Black\nBlack Black Orange Orange Black Black Orange Orange Black Black\nOrange Orange Orange Black Orange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Black Black Orange Orange Orange Orange\nOrange Orange Black Orange Orange Orange Orange Black Orange Orange\nOrange Black Orange Black Orange Orange Black Orange Black Orange\nOrange Black Orange Orange Black Black Orange Orange Black Orange\n\n\nExample 3\nInput:\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black\nBlue Black Blue Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Blue Black Black Black Black Black\nBlack Blue Blue Black Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Black Black Blue Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Blue Black Black Black Black Black Black\n\nOutput:\nBlue Blue Black Black Black Black Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Black Black Black Blue Black Blue\nBlue Black Black Black Black Black Black Black Black Blue\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Blue Blue Blue Black\nBlue Blue Blue Black Blue Blue Black Blue Blue Blue\nBlack Blue Blue Black Blue Blue Black Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Blue Blue Black Black Blue Blue\nBlack Blue Black Black Black Black Black Black Blue Black\nBlue Blue Black Blue Black Black Blue Black Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Purple Black Black Black\nBlack Purple Black Black Black Black\nPurple Purple Purple Black Black Black\nPurple Purple Black Black Black Black\nPurple Purple Black Black Black Black\nBlack Black Purple Black Black Black\nPurple Purple Purple Black Black Black\nPurple Purple Purple Black Black Black\nPurple Black Purple Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Black Purple Purple Black Purple\nBlack Purple Black Black Purple Black\nPurple Purple Purple Purple Purple Purple\nPurple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nPurple Black Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black 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 Purple Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nPurple Black Purple Black Black Black Black Black\nPurple Black Purple Black Black Black Black Black\nPurple Black Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Purple Black Purple Black Purple Black\nPurple Black Purple Black Purple Black Purple Black\nPurple Black Purple Black Purple Black Purple Black\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Black Purple Black\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple\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 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 Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Black Orange Black Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Black Orange Black Orange Black Orange Black Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Black Orange Black Orange Orange Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Black Black Black Gray Black Black Black Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Black Gray Black Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Gray Black Black Gray Gray Gray 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 Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Pink Black Pink Black Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\nPink Black Pink Black Pink Black Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\nPink Black Pink Black Pink Pink Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Yellow Yellow Black\nBlack Black Black Brown Brown Brown Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Red Red Red Red Black Black Black Black\nBlack 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Brown Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Brown Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Brown Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black 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 Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Pink Pink Pink Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Pink Pink Pink 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 Yellow Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green 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:\nGreen Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black\nGreen Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black\nPink Pink Pink Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Red Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Green Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Blue Blue Black Black\nBlack Black Blue Green Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Green Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Blue Black Black\nBlack Black Green Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack 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 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\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 Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Black Black Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Yellow Yellow Black Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Yellow Yellow 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow 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 Gray Gray Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Gray Black Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack 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 Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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:\nPurple Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black\n\nOutput:\nPurple Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Black Black Black Black Black Black\nPurple Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Purple Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Purple Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Yellow 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\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 Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple 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 Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green 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 Black Black 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\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow 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 Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Green Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green 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 Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black 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 Pink Brown Purple Gray Black Black Black Black Black\nBlack Black Black Black Pink Orange Brown Green Black Black Black Black Black\nBlack Black Black Black Green Orange Orange Brown Black Black Black Black Black\nBlack Black Black Black Orange Gray Orange Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Brown Green Orange Gray Orange Blue Black Black Black Black Black Black\nOrange Blue Orange Gray Orange Blue Black Black Black Black Black Black Black\nGray Orange Blue Orange Blue Gray Black Black Black Black Black Black Black\nOrange Gray Orange Blue Brown Green Gray Black Black Black Black Black Black\nGray Orange Blue Orange Blue Brown Green Gray Black Black Black Black Black\nOrange Blue Orange Gray Orange Blue Brown Green Gray Black Black Black Black\nBlue Black Black Orange Gray Orange Blue Brown Green Gray Black Black Black\nBlack Black Black Black Orange Gray Orange Blue Brown Green Gray Black Black\nBlack Black Black Black Black Orange Gray Orange Blue Brown Green Gray Black\nBlack Black Black Black Black Black Orange Gray Orange Blue Brown Green Gray\nBlack Black Black Black Black Black Black Orange Gray Orange Blue Brown Green\nBlack Black Black Black Black Black Black Black Orange Gray Orange Blue Brown\nBlack Black Black Black Black Black Black Black Black Orange Gray Orange Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Red Green Pink Blue Black Black Black Black Black Black Black\nBlack Gray Red Orange Brown Blue Black Black Black Black Black Black Black\nBlack Purple Brown Gray Brown Brown Black Black Black Black Black Black Black\nBlack Purple Purple Brown Pink Orange Black Black Black Black Black Black Black\nBlack Blue Orange Brown Pink Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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:\nGreen Orange Brown Purple Blue Orange Brown Pink Green Black Black Black Black\nPink Green Orange Blue Orange Brown Pink Green Black Black Black Black Black\nBrown Pink Green Orange Brown Pink Green Black Black Black Black Black Black\nOrange Brown Pink Green Pink Green Blue Blue Black Black Black Black Black\nBlue Orange Brown Pink Green Orange Brown Blue Blue Black Black Black Black\nOrange Brown Pink Green Pink Green Orange Brown Blue Blue Black Black Black\nBrown Pink Green Orange Brown Pink Green Orange Brown Blue Blue Black Black\nPink Green Black Blue Orange Brown Pink Green Orange Brown Blue Blue Black\nGreen Black Black Black Blue Orange Brown Pink Green Orange Brown Blue Blue\nBlack Black Black Black Black Blue Orange Brown Pink Green Orange Brown Blue\nBlack Black Black Black Black Black Blue Orange Brown Pink Green Orange Brown\nBlack Black Black Black Black Black Black Blue Orange Brown Pink Green Orange\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 Yellow Yellow Red Green Blue Black Black\nBlack Black Black Orange Purple Pink Orange Gray Black Black\nBlack Black Black Pink Blue Purple Yellow Orange Black Black\nBlack Black Black Green Purple Blue Blue Brown Black Black\nBlack Black Black Green Orange Gray Red Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Brown Orange Green Green Orange Gray Red Yellow Black\nRed Yellow Brown Green Orange Gray Red Yellow Black Black\nGray Red Yellow Orange Gray Red Yellow Black Black Black\nOrange Gray Red Yellow Red Yellow Gray Blue Black Black\nGreen Orange Gray Red Yellow Brown Orange Gray Blue Black\nOrange Gray Red Yellow Red Yellow Brown Orange Gray Blue\nGray Red Yellow Orange Gray Red Yellow Brown Orange Gray\nRed Yellow Black Green Orange Gray Red Yellow Brown Orange\nYellow Black Black Black Green Orange Gray Red Yellow Brown\nBlack Black Black Black Black Green Orange Gray Red Yellow\nBlack Black Black Black Black Black Green Orange Gray Red\nBlack Black Black Black Black Black Black Green Orange Gray\nBlack Black Black Black Black Black Black Black Green Orange\nBlack Black Black Black Black Black Black Black Black Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Pink Black Black Black Black Black Black Black\nBlack Black Black Black Brown Gray Brown Black Black Black Black Black Black Black\nBlack Black Black Black Blue Pink 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Blue Pink Gray Black Black Black Black Black Black Black Black Black\nPink Gray Pink Gray Black Black Black Black Black Black Black Black Black Black\nBlue Pink Gray Brown Pink Black Black Black Black Black Black Black Black Black\nPink Gray Pink Gray Brown Pink Black Black Black Black Black Black Black Black\nGray Black Blue Pink Gray Brown Pink Black Black Black Black Black Black Black\nBlack Black Black Blue Pink Gray Brown Pink Black Black Black Black Black Black\nBlack Black Black Black Blue Pink Gray Brown Pink Black Black Black Black Black\nBlack Black Black Black Black Blue Pink Gray Brown Pink Black Black Black Black\nBlack Black Black Black Black Black Blue Pink Gray Brown Pink Black Black Black\nBlack Black Black Black Black Black Black Blue Pink Gray Brown Pink Black Black\nBlack Black Black Black Black Black Black Black Blue Pink Gray Brown Pink Black\nBlack Black Black Black Black Black Black Black Black Blue Pink Gray Brown Pink\nBlack Black Black Black Black Black Black Black Black Black Blue Pink Gray Brown\nBlack Black Black Black Black Black Black Black Black Black Black Blue Pink Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Yellow Yellow Black\nBlack Green Green Black Black Black Yellow Yellow Yellow Black\nGreen Green Green Green Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Gray Gray Black\nBlack Black Orange Orange Black Black Black Gray Gray Black\n\nOutput:\nGreen Yellow Orange\nGray Black Black\nBlack Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black\nGreen Black Black Black Black Gray Gray Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Pink Pink Pink Pink Black Blue Blue\nBlack Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black\n\nOutput:\nGray Green Blue\nPink Black Black\nBlack Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Brown Black Black\nBlack Blue Blue Blue Black Black Brown Brown Brown Black\nBlack Blue Black Blue Blue Black Black Brown Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Purple Purple Purple\nBlack Black Orange Orange Black Black Black Purple Purple Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Brown Purple\nOrange Black Black\nBlack Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Orange Orange\nBlack Black Gray Black Black Yellow Black Black Black Orange\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Red Red Black Green Black\nBlack Black Black Black Black Red Red Black Green Green\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 Orange Gray\nBlue Red Green\nBlack Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Gray Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Black Black Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Red Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Black Black Red Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Red Black Black Black Black\nBlack 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 Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\n\n\nExample 2\nInput:\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Gray Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Black Black Black Black Black Gray Black Black Gray Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\n\nOutput:\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Red Black Black Black Red Red Red Red Red Red\nBlack Black Red Red Red Red Black Black Black Red Red Red Red Red Red\nBlack Black Red Red Red Red Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Red Black Black Black Black Black Red Black Black Red Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Gray Gray Gray Gray Black Gray Gray Gray Gray Black Black Black Black Gray Gray\nBlack Gray Gray Black Gray Black Black Gray Gray Black Black Black Black Black Gray Gray\nBlack Black Gray Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Red Red Red Red Black Black Black Black Red Red\nBlack Red Red Black Red Black Black Red Red Black Black Black Black Black Red Red\nBlack Black Red Red Red Black Black Red Red Black Black Black Black Red Red Red\nBlack Black Black Red Red Black Red Red Red Red Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Red Red Red Black Red Red Red Black Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray\nBlack Gray Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray\nBlack Black Black Black Black Gray Black Black Gray Black Black Gray Gray Gray\nBlack Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Black Black Gray Gray Black Black Gray Gray Gray\nBlack Black Gray Gray Gray Black Gray Gray Gray Black Black Gray Gray Gray\nBlack Gray Black Gray Gray Black Gray Gray Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Red Red Red Red Red Red Black Red Red Red\nBlack Red Black Black Red Red Red Red Red Red Black Red Red Red\nBlack Black Black Black Black Red Black Black Red Black Black Red Red Red\nBlack Red Red Red Black Black Black Black Black Black Red Red Red Red\nBlack Red Red Red Red Black Black Red Red Black Black Red Red Red\nBlack Black Red Red Red Black Red Red Red Black Black Red Red Red\nBlack Red Black Red Red Black Red Red Black Black Black Red Red Red\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Red Red Red Red Red Red Red Black\nBlack Red Red Red Black Black Red Red Red Red Red Red Red Black\nBlack 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\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:\nPink Yellow Pink Black\nOrange Gray Orange Blue\nPurple Pink Purple Red\nBlack Orange Black Green\nBlue Purple Blue Yellow\n\nOutput:\nPink Pink Yellow Yellow Pink Pink Black Black\nPink Pink Yellow Yellow Pink Pink Black Black\nOrange Orange Gray Gray Orange Orange Blue Blue\nOrange Orange Gray Gray Orange Orange Blue Blue\nPurple Purple Pink Pink Purple Purple Red Red\nPurple Purple Pink Pink Purple Purple Red Red\nBlack Black Orange Orange Black Black Green Green\nBlack Black Orange Orange Black Black Green Green\nBlue Blue Purple Purple Blue Blue Yellow Yellow\nBlue Blue Purple Purple Blue Blue Yellow Yellow\n\n\nExample 2\nInput:\nOrange Yellow Blue Red Green\nPurple Gray Red Green Yellow\nBlack Pink Green Yellow Gray\nBlue Orange Yellow Gray Pink\n\nOutput:\nOrange Orange Yellow Yellow Blue Blue Red Red Green Green\nOrange Orange Yellow Yellow Blue Blue Red Red Green Green\nPurple Purple Gray Gray Red Red Green Green Yellow Yellow\nPurple Purple Gray Gray Red Red Green Green Yellow Yellow\nBlack Black Pink Pink Green Green Yellow Yellow Gray Gray\nBlack Black Pink Pink Green Green Yellow Yellow Gray Gray\nBlue Blue Orange Orange Yellow Yellow Gray Gray Pink Pink\nBlue Blue Orange Orange Yellow Yellow Gray Gray Pink Pink\n\n\nExample 3\nInput:\nGray Black Yellow Yellow Red\nPink Blue Gray Gray Green\nOrange Red Pink Pink Yellow\nPurple Green Orange Orange Gray\nBlack Yellow Purple Purple Pink\n\nOutput:\nGray Gray Black Black Yellow Yellow Yellow Yellow Red Red\nGray Gray Black Black Yellow Yellow Yellow Yellow Red Red\nPink Pink Blue Blue Gray Gray Gray Gray Green Green\nPink Pink Blue Blue Gray Gray Gray Gray Green Green\nOrange Orange Red Red Pink Pink Pink Pink Yellow Yellow\nOrange Orange Red Red Pink Pink Pink Pink Yellow Yellow\nPurple Purple Green Green Orange Orange Orange Orange Gray Gray\nPurple Purple Green Green Orange Orange Orange Orange Gray Gray\nBlack Black Yellow Yellow Purple Purple Purple Purple Pink Pink\nBlack Black Yellow Yellow Purple Purple Purple Purple Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Green\nOrange Pink Yellow\nPurple Orange 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```\nPink Pink Gray Gray Green Green\nPink Pink Gray Gray Green Green\nOrange Orange Pink Pink Yellow Yellow\nOrange Orange Pink Pink Yellow Yellow\nPurple Purple Orange Orange Gray Gray\nPurple Purple Orange Orange Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack 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\nBrown Brown Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Pink Pink 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 Yellow Yellow Yellow\nBlack 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\nYellow Yellow Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Orange Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Blue Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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\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 Pink Black Pink Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Pink Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink 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 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\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 Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack 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\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink 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 Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink 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 Gray Pink Black Black Black Black Black\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 Brown Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Green Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink\n\nOutput:\nBlack Black Black Black Black Black Gray Pink Black Black Black Black\nBlack Black Black Black Black Black Gray Pink Black Black Green Black\nBlack Black Black Black Black Black Gray Pink Black Black Green Black\nBlack Black Black Black Black Black Gray Pink Black Black Green Black\nBlack Black Black Black Black Black Gray Pink Brown Black Brown Black\nBlack Black Black Black Black Black Gray Pink Brown Black Brown Black\nBlack Black Black Black Orange Black Gray Green Brown Black Purple Black\nPink Black Black Black Orange Black Gray Green Brown Black Purple Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Orange\nBlack Black Black Brown Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Red Black Black Black Black Black Black Black\nBlue Black Black Blue Black Black Black Black Gray Black\n\nOutput:\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nOrange Black Black Black Black Black Pink Black Black Red\nOrange Black Black Black Brown Black Pink Black Green Red\nOrange Black Black Black Brown Black Pink Black Green Blue\nOrange Black Black Red Brown Black Pink Black Green Blue\nOrange Blue Black Red Blue Black Pink Black Green Gray\n\n\nExample 3\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Red Pink Yellow Black\nBlack Black Black Black Brown Black Black Black Black Black Black\n\nOutput:\nBlack Purple Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Blue Black Black Black Black Black Black Black\nBlack Yellow Black Blue Black Black Black Green Black Black Black\nOrange Yellow Black Blue Black Black Black Green Black Black Black\nOrange Yellow Black Blue Black Black Black Green Red Pink Yellow\nOrange Yellow Black Blue Black Brown Black Green Red Pink Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Pink Black Black Black Pink Black Black\nBlack Black Black Black Black Gray Black Pink Black\nBlack Black Black Black Pink Black Black Black Brown\nBlack Black Black Black Black Black Black Gray Black\nBrown Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Pink Black\nBlack Gray Black Black Black Pink Black Brown Black\nBlack Black Black Orange Black Black Blue Black Black\nBlack Brown Black Gray Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Pink Black Black Black Pink Black\nBlack Black Black Pink Black Black Gray Pink Pink\nBrown Black Black Pink Black Pink Gray Pink Pink\nBrown Black Black Pink Black Pink Gray Pink Gray\nBrown Brown Black Pink Black Pink Gray Pink Gray\nBrown Brown Black Pink Black Pink Gray Pink Pink\nBrown Brown Gray Pink Black Pink Pink Pink Brown\nBrown Brown Gray Pink Orange Pink Pink Blue Brown\nBrown Brown Brown Pink Gray Pink Pink Blue Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black 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\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 Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Orange Gray Purple Gray Black Black\nBlack Orange Purple Purple Purple Red Red Yellow\nOrange Purple Blue Green Purple Green Orange Yellow\nGray Purple Green Black Green Green Green Yellow\nPurple Purple Purple Green Black Green Green Yellow\nGray Red Green Green Green Green Green Yellow\nBlack Red Orange Green Green Green Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black\n\nOutput:\nBlack Black Pink Brown Pink Purple Black Black\nGray Green Green Brown Brown Brown Purple Black\nGray Purple Yellow Brown Yellow Red Brown Purple\nGray Yellow Yellow Yellow Black Yellow Brown Pink\nGray Yellow Yellow Black Yellow Brown Brown Brown\nGray Yellow Yellow Yellow Yellow Yellow Green Pink\nBlack Black Yellow Yellow Yellow Purple Green Black\nBlack Black Gray Gray Gray Gray Gray Black\n\n\nExample 2\nInput:\nBlack Orange Gray Gray Black Black Black\nBlack Black Yellow Gray Black Black Orange\nBlack Black Yellow Gray Yellow Yellow Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Yellow Yellow Gray Yellow Black Black\nOrange Black Black Gray Yellow Black Black\nBlack Black Black Gray Gray Orange Black\n\nOutput:\nBlack Purple Pink Pink Black Black Black\nBlack Black Gray Pink Black Black Purple\nBlack Black Gray Pink Gray Gray Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Gray Gray Pink Gray Black Black\nPurple Black Black Pink Gray Black Black\nBlack Black Black Pink Pink Purple Black\n\n\nExample 3\nInput:\nBlack Gray Yellow Yellow Yellow Yellow Yellow Gray Black\nBlack Gray Yellow Blue Black Blue Yellow Gray Black\nBlack Black Yellow Blue Black Blue Yellow Black Black\nBrown Black Blue Yellow Black Yellow Blue Black Brown\nBrown Pink Pink Yellow Yellow Yellow Pink Pink Brown\nOrange Brown Orange Orange Red Orange Orange Brown Orange\nBlue Blue Yellow Brown Black Brown Yellow Blue Blue\n\nOutput:\nRed Purple Blue Blue Black Black Black\nRed Blue Orange Black Black Pink Pink\nGray Purple Orange Red Gray Gray Gray\nBlue Purple Gray Gray Red Red Gray\nBlack Green Gray Black Black Black Gray\nBlue Purple Gray Gray Red Red Gray\nGray Purple Orange Red Gray Gray Gray\nRed Blue Orange Black Black Pink Pink\nRed Purple Blue Blue Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue Purple Black Black Black Black\nBlack Black Gray Purple Purple Black Black Black Black\nBlack Black Black Blue Blue Green Black Gray Black\nBlack Black Green Blue Yellow Blue Blue Purple Blue\nPurple Purple Blue Yellow Red Yellow Blue Purple Purple\nBlue Purple Blue Blue Yellow Blue Green Black Black\nBlack Gray Black Green Blue Blue Black Black Black\nBlack Black Black Black Purple Purple Gray Black Black\nBlack Black Black Black Purple 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 Red Brown Black Black Black Black\nBlack Black Pink Brown Brown Black Black Black Black\nBlack Black Black Red Red Yellow Black Pink Black\nBlack Black Yellow Red Gray Red Red Brown Red\nBrown Brown Red Gray Green Gray Red Brown Brown\nRed Brown Red Red Gray Red Yellow Black Black\nBlack Pink Black Yellow Red Red Black Black Black\nBlack Black Black Black Brown Brown Pink Black Black\nBlack Black Black Black Brown Red Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Blue Black Black Orange\nBlack Black Black Black Black Black Orange Black Black Orange Blue Blue Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Orange Yellow Black Black Black Black Black Black\nBlack Orange Black Black Black Black Red Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Red Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Red Black Black Red Black Red Orange Red Orange Black Black\nBlack Black Black Black Black Black Red Orange Black Black Black Black Yellow Red Black Black Blue\nGreen Black Yellow Black Green Blue Black Black Green Black Black Black Black Black Green Black Black\nOrange Black Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black Blue Black\nBlack Black Yellow Black Black Black Blue Black Orange Black Red Black Black Black Green Black Black\nBlue Blue Black Blue Black Black Black Orange Black Black Black Black Yellow Yellow Red Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Orange\nBlack Black Black Blue Orange\nRed Black Black Blue Orange\nRed Yellow Green Blue Orange\nRed Yellow Green Blue Orange\nRed Yellow Green Blue Orange\nRed Yellow Green Blue Orange\nRed Yellow Green Blue Orange\nRed Yellow Green Blue Orange\nRed Yellow Green Blue Orange\nRed Yellow Green Blue Orange\nRed Yellow Green Blue Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Red Black Yellow Black Black Black Black Red Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Red Black Black\nBlack Green Black Black Black Red Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Blue Black Orange Black Black Yellow Black Yellow\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Blue Black Black Orange\nBlack Orange Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Green Yellow Black Black Black Orange Orange Black\nBlack Black Black Black Orange Yellow Black Black Orange Black Black Yellow Black Red Black\nRed Black Black Black Blue Black Black Orange Black Black Black Black Black Black Black\nBlack Red Yellow Red Black Black Orange Black Black Black Yellow Orange Black Black Yellow\nGreen Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Orange\nBlack Yellow Black Black Orange\nBlack Yellow Black Black Orange\nBlack Yellow Black Black Orange\nRed Yellow Black Black Orange\nRed Yellow Black Black Orange\nRed Yellow Black Black Orange\nRed Yellow Black Black Orange\nRed Yellow Black Blue Orange\nRed Yellow Black Blue Orange\nRed Yellow Green Blue Orange\nRed Yellow Green Blue Orange\nRed Yellow Green Blue Orange\n\n\nExample 3\nInput:\nYellow Black Black Orange Blue Black Black Black Black Black Black Blue Orange Yellow Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Red Black Black\nRed Black Black Black Blue Black Black Black Black Black Black Black Yellow Orange Black Black\nBlack Black Orange Black Black Black Black Black Green Black Black Black Black Black Black Red\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Red\nBlack Black Black Black Red Black Black Blue Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Blue Black Black Green Black Black Black\nBlack Black Yellow Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Green Black Green Yellow Black Black Red Black Blue Black\nBlack Black Blue Black Black Black Black Yellow Black Black Black Black Black Red Black Blue\nBlack Black Black Black Black Green Black Black Black Green Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Black Black\nBlack Yellow Black Blue Black\nRed Yellow Green Blue Black\nRed Yellow Green Blue Black\nRed Yellow Green Blue Black\nRed Yellow Green Blue Orange\nRed Yellow Green Blue Orange\nRed Yellow Green Blue Orange\nRed Yellow Green Blue Orange\nRed Yellow Green Blue Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Orange Blue Black Black Red Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Red Black Orange Red Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Yellow Black Yellow Red Yellow Black Black Orange Black\nBlack Green Black Black Black Black Yellow Blue Orange Black Black Black Black Black\nBlack Black Black Blue Black Black Green Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Red Black Red\nBlack Blue Black Orange Black Black Black Orange Yellow Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black\nOrange Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Blue Orange Black Black Black Black Black Red Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Orange\nBlack Black Black Black Orange\nBlack Black Black Black Orange\nRed Black Black Black Orange\nRed Black Black Black Orange\nRed Yellow Black Blue Orange\nRed Yellow Black Blue Orange\nRed Yellow Green Blue Orange\nRed Yellow Green Blue Orange\nRed Yellow Green Blue Orange\nRed Yellow Green Blue Orange\nRed Yellow Green Blue Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Orange Black Pink Black Yellow Black Pink Black\nBlack Black Brown Black Purple Black Gray Black Pink Black Black\nBlack Orange Black Brown Black Green Black Green Black Orange Black\nBlack Black Orange Black Brown Black Orange Black Gray Black Black\nBlack Orange Black Blue Black Pink Black Gray Black Purple Black\nBlack Black Orange Black Yellow Black Purple Black Red Black Black\nBlack Orange Black Orange Black Green Black Orange Black Blue Black\nBlack Black Purple Black Green Black Green Black Green Black Black\nBlack Purple Black Yellow Black Gray Black Brown Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Purple Black Orange Black Orange Black Orange Black Purple Black\nBlack Black Purple Black Orange Black Orange Black Brown Black Black\nBlack Yellow Black Orange Black Blue Black Brown Black Orange Black\nBlack Black Green Black Yellow Black Brown Black Purple Black Black\nBlack Gray Black Green Black Pink Black Green Black Pink Black\nBlack Black Green Black Purple Black Orange Black Gray Black Black\nBlack Brown Black Orange Black Gray Black Green Black Yellow Black\nBlack Black Green Black Red Black Gray Black Pink Black Black\nBlack Purple Black Blue Black Purple Black Orange Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Orange Black Yellow Black Blue Black Black\nBlack Black Red Black Green Black Pink Black\nBlack Blue Black Gray Black Red Black Black\nBlack Black Orange Black Brown Black Blue Black\nBlack Purple Black Brown Black Gray Black Black\nBlack Black Brown Black Brown Black Purple Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Purple Black Blue Black Orange Black\nBlack Brown Black Orange Black Red Black Black\nBlack Black Brown Black Gray Black Yellow Black\nBlack Brown Black Brown Black Green Black Black\nBlack Black Gray Black Red Black Blue Black\nBlack Purple Black Blue Black Pink Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Brown Black Yellow Black Yellow Black Black\nBlack Black Red Black Green Black Blue Black\nBlack Orange Black Purple Black Pink Black Black\nBlack Black Orange Black Gray Black Pink Black\nBlack Blue Black Purple Black Yellow Black Black\nBlack Black Orange Black Green Black Purple Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Blue Black Orange Black Brown Black\nBlack Orange Black Orange Black Red Black Black\nBlack Black Purple Black Purple Black Yellow Black\nBlack Green Black Gray Black Green Black Black\nBlack Black Yellow Black Pink Black Yellow Black\nBlack Purple Black Pink Black 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\nBlack Pink Black Gray Black Green Black Pink Black Black\nBlack Black Brown Black Gray Black Brown Black Blue Black\nBlack Pink Black Gray Black Pink Black Gray Black Black\nBlack Black Pink Black Brown Black Brown Black Orange Black\nBlack Pink Black Pink Black Pink Black Purple Black Black\nBlack Black Brown Black Yellow Black Blue Black Orange Black\nBlack Orange Black Pink Black Gray Black Blue Black Black\nBlack Black Red Black Pink Black Brown Black Red 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 Orange Black Pink Black Pink Black Pink Black\nBlack Red Black Brown Black Pink Black Brown Black Black\nBlack Black Pink Black Pink Black Gray Black Gray Black\nBlack Pink Black Yellow Black Brown Black Gray Black Black\nBlack Black Gray Black Pink Black Pink Black Green Black\nBlack Brown Black Blue Black Brown Black Brown Black Black\nBlack Black Blue Black Purple Black Gray Black Pink Black\nBlack Red Black Orange Black Orange Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Purple Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Red Purple Red Black Black Black Black\nBlack Black Black Black Red Purple Red Purple Purple Purple Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Purple Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Purple Black Purple Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Purple Red\nBlack Purple Black\nPurple Purple Purple\nPurple Black Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Purple Black Black Black Black Black Black Black Black\nRed Red Purple Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Blue Purple Black Black Black Black Black Black Black\nBlack Blue Purple Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Blue Purple Black Black Black Blue Purple Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black\nRed Red Black Black Black\nBlue Purple Black Black Black\nBlue Blue Blue Blue Black\nBlack Red Red Black Black\nBlack Red Red Black Black\nBlack Blue Purple Black Black\nBlack Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Green Black Black Black Black Black Black Blue Green Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Green Green Black Black Black Black Red Red Green Green Black Black\nBlack Black Black Black Purple Red Red Blue Black Black Black Black Purple Red Red Blue Black Black\nBlack Black Black Black Black Black Black Blue Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Green Black Black Black Black Blue Green Black Black Black\nBlack Black Black Black Black Black Black Red Red Green Green Black Black Red Green Black Black Black\nBlack Black Black Black Green Blue Black Purple Red Red Blue Black Black Red Red Green Green Black\nBlack Black Black Black Green Red Black Black Black Black Blue Green Black Purple Red Red Blue Black\nBlack Black Green Green Red Red Black Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Blue Red Red Purple Black Black Black Black Red Red Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Red Red Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nBlue Green Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black\nRed Red Green Green Black Black Black Black Black Black\nPurple Red Red Blue Black Black Black Black Black Black\nBlack Black Black Blue Green Black Black Black Black Black\nBlack Black Black Red Green Black Black Black Black Black\nBlack Black Black Red Red Green Green Black Black Black\nBlack Black Black Purple Red Red Blue Black Black Black\nBlack Black Black Black Black Black Blue Green Black Black\nBlack Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Green Green\nBlack Black Black Black Black Black Purple Red Red Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Red Black\nBlack Black Red Red Black Red Red Red Black\nRed Red Red Black Black Black Red Red Red\nBlack Red Red Red Black Black Red Black Black\nBlack Red Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Purple Pink Pink Black Blue Blue Black Black\nBlack Black Black Black Pink Black Black Blue Black Black\nBlack Black Black Black Orange Black Black Blue Black Black\nBlack Black Orange Black Black Black Black Red Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Pink Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black\n\nOutput:\nBlack Black Brown Brown Brown Black Brown Brown Black Black\nBlack Black Black Black Brown Black Black Brown Black Black\nBlack Black Black Black Brown Black Black Brown Black Black\nBlack Black Brown Black Black Black Black Brown Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Red Black Black Black Blue Black\nBlack Black Brown Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Orange Orange Orange Orange Black Black Black\nBlack Red Black Black Black Black Orange Black Black Black\nBlue Red Black Black Black Black Orange Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Brown Black\nBlack Black Brown Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Brown Black Black Black Black Yellow Black Black Black\nBrown Brown Black Black Black Black Yellow Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Yellow Black Black Black\nBlack Black Black Black Blue Black Pink Black Black Black\nBlack Purple Purple Black Black Black Pink Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Gray Gray Green Blue\nOrange 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 Brown Black Brown Black Black Black\nBlack Black Black Black Brown Black Brown Black Black Black\nBlack Brown Brown Black Black Black Brown Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Brown Brown Brown Brown\nBrown 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 Blue 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 Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Brown Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Black Black Black Brown Purple Black Black Orange Brown Green Black\nOrange Black Black Orange Black Orange Blue Pink Black Black Black Yellow\nBlack Red Black Orange Green Orange Blue Purple Black Green Black Black\nBlack Black Black Black Brown Black Black Black Green Black Purple Gray\nBlack Black Black Gray Black Black Purple Purple Yellow Yellow Gray Yellow\nPink Blue Green Black Black Purple Black Black Red Gray Black Black\nBlack Brown Black Brown Red Black Black Orange Black Black Black Brown\nBlack Brown Gray Pink Black Blue Black Black Blue Blue Orange Purple\n\nOutput:\nRed Black Black Black Yellow Green Black Black Red Yellow Purple Black\nRed Black Black Red Black Red Pink Blue Black Black Black Brown\nBlack Orange Black Red Purple Red Pink Green Black Purple Black Black\nBlack Black Black Black Yellow Black Black Black Purple Black Green Black\nBlack Black Black Black Black Black Green Green Brown Brown Black Brown\nBlue Pink Purple Black Black Green Black Black Orange Black Black Black\nBlack Yellow Black Yellow Orange Black Black Red Black Black Black Yellow\nBlack Yellow Black Blue Black Pink Black Black Pink Pink Red Green\n\n\nExample 2\nInput:\nBlack Black Black Red Black Black Blue Gray Red Orange\nBlack Black Purple Brown Black Black Brown Purple Black Black\nPink Orange Black Orange Brown Pink Black Green Yellow Black\nOrange Black Blue Purple Black Black Orange Blue Green Red\nBlack Black Purple Red Purple Gray Black Gray Yellow Black\nBlack Black Black Black Orange Yellow Brown Gray Black Orange\nBlack Black Orange Brown Black Purple Black Purple Black Black\n\nOutput:\nBlack Black Black Orange Black Black Pink Black Orange Red\nBlack Black Green Yellow Black Black Yellow Green Black Black\nBlue Red Black Red Yellow Blue Black Purple Brown Black\nRed Black Pink Green Black Black Red Pink Purple Orange\nBlack Black Green Orange Green Black Black Black Brown Black\nBlack Black Black Black Red Brown Yellow Black Black Red\nBlack Black Red Yellow Black Green Black Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Yellow Red Green Blue Black Black Black Black\nBlack Black Blue Black Black Orange Black Black Blue Black Black\nGreen Orange Gray Red Yellow Black Black Black Black Black Black\nBlack Yellow Black Pink Black Black Black Gray Black Black Black\nOrange Black Black Brown Green Blue Green Black Black Black Yellow\nYellow Black Black Yellow Black Brown Black Black Blue Black Black\nGray Blue Green Blue Black Pink Brown Yellow Pink Pink Black\n\nOutput:\nBlack Black Black Brown Orange Purple Pink Black Black Black Black\nBlack Black Pink Black Black Red Black Black Pink Black Black\nPurple Red Black Orange Brown Black Black Black Black Black Black\nBlack Brown Black Blue Black Black Black Black Black Black Black\nRed Black Black Yellow Purple Pink Purple Black Black Black Brown\nBrown Black Black Brown Black Yellow Black Black Pink Black Black\nBlack Pink Purple Pink Black Blue Yellow Brown Blue Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Black Pink Brown Gray Brown Black Black\nGray Black Gray Pink Brown Brown Black Black Pink\nBlack Black Brown Black Blue Black Orange Pink Gray\nBlue Black Black Black Red Purple Orange Blue Black\nYellow Black Black Black Black Black Pink Green Green\nBrown Orange Black Purple Black Black Green Red Purple\nBlack Black Orange Brown Black Black Black Black Black\nBlack Black Black Purple Blue Black Black Orange Black\nGray Black Black Black Black Black Pink Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Black Blue Yellow Black Yellow Black Black\nBlack Black Black Blue Yellow Yellow Black Black Blue\nBlack Black Yellow Black Pink Black Red Blue Black\nPink Black Black Black Orange Green Red Pink Black\nBrown Black Black Black Black Black Blue Purple Purple\nYellow Red Black Green Black Black Purple Orange Green\nBlack Black Red Yellow Black Black Black Black Black\nBlack Black Black Green Pink Black Black Red Black\nBlack Black Black Black Black Black Blue Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Black Black Pink Brown\nBlack Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Black Pink\nBlack Black Brown Brown Brown Black Black Black Black\nPink Black Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray\nBlack Gray Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Blue Blue Black Black\nBlue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Black Blue Black Black\nBlue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Brown Brown Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black\nBlack Black Black Yellow Pink Pink Pink Black\nBlack Brown Black Black Pink Pink Pink Black\nYellow Yellow Black Black Pink Pink Black Black\nYellow Yellow Black Black Pink Pink Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Red Red Black\nBlack Black Black Pink Pink Pink Red Red Black\nBlack Black Black Pink Pink Pink Black Black Purple\nGreen Green Black Pink Pink Pink Black Black Black\nGreen Green Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Purple Purple Black Black Black\nBlue Blue Blue Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Black Black Blue Black Black\nBlack Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\nBlue Black Blue Blue Black Black Black Black Black\nBlue Black Blue Blue 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 Orange Orange Orange\nYellow Yellow Yellow Black Black Black Orange Orange Orange\nYellow Yellow Yellow Black Black Black Orange Orange Orange\nYellow Yellow Yellow Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple\nBlack Purple Black Black Black Black Black Purple Purple\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 Blue Blue Blue Black Black\nBlue Black Black Black Blue Blue Blue Black Black\nBlue Black Black Black Blue Blue Blue Black Black\nBlue Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Blue Blue 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 Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Black Pink Black Black Orange Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Pink Black\nPurple Black Black Black Black Black Black Black Black Pink Black Black Black Purple Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Yellow Black Black Black Blue Black\nRed Black Black Black Black Black Yellow\nBrown Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Black Black Black Black Black Black\nPink Black Black Black Brown Black Black\nBlack Black Black Black Black Green Black\nBlue Black Black Black Black Black Black\n\nOutput:\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBrown Black Black Black Black Black Purple\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 Blue Black Black Black Black Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Green Black Black\nBlack Black Purple Black Black Red Black\n\nOutput:\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\nRed Red Red Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Gray Orange Black Black\nBlack Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Blue Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Brown Black Black Black Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Brown 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\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Orange Pink Gray\nBlack Red Yellow Brown Black Black Black Black Black Black Black Black Black Yellow Red Gray Gray\nGreen Orange Purple Gray Black Black Black Black Black Brown Black Black Black Black Orange Blue Pink\nBlack Purple Brown Pink Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Blue Black Black Black Black Blue Blue Blue\nBlack Blue Blue Blue Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack 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 Blue Blue Blue Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack 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 Green Black Black Black\nBlack Black Black Black Black Black Red Red Red Orange Brown Green Yellow Yellow Black\nBrown Brown Brown Brown Brown Black Red Red Red Green Brown Pink Yellow Pink Black\nBrown Brown Brown Brown Brown Black Black Black Purple Gray Red Purple Purple Red Black\nBrown Brown Brown Brown Brown Black Black Black Black Red Blue Brown Orange Red Black\nBrown Brown Brown Brown Brown Black Black Black Brown Brown Orange Purple Gray Purple Black\nBlack Black Black Black Black Black Black Black 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 Blue Black Black 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 Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Green Green Blue Blue Black\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue Green Blue Blue Blue Black\nBlue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Green Black\nBlue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Green Black\nBlue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black 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 Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Red Purple Brown Red Green Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Pink Red Pink Blue Brown Black Black Black Blue Black Black Black Black\nBlack Black Green Red Brown Yellow Gray Blue Black Black Black Gray Gray Black Black Black\nBlack Black Black Red Orange Purple Pink Brown Black Black Black Pink Pink Pink Black Black\nBlack Black Black Yellow Brown Pink Gray Yellow 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 Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Green Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Blue Green Blue Blue Blue Black Black Black Blue Black Black Black Black\nBlack Black Blue Green Blue Blue Blue Blue Black Black Black Blue Blue Black Black Black\nBlack Black Black Green Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue 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 Green Black Black Black Black Black Black Black Black\nBlack Black Black Blue Yellow Brown Green Red Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Red Yellow Black Black Black Black Black Black\nBlack Black Purple Yellow Brown Gray Blue Blue Black Black Black Black Black Black\nBlack Black Black Pink Orange Blue Purple Orange Black Black Black Black Black Black\nBlack Black Black Purple Orange Green Brown 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\nBlack Black Black Black Purple Purple Black Black Black Black Black Red Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Red Red Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Green Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Red Red Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Green Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Green 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\nBlack Black Black Black Green Green Black Black Black Black Black Blue Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Blue Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Blue Blue Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Yellow Black Black Black Black Black Black Black\nBlack Black Black Red Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 Blue Yellow Black Black Black Black Black\nBlack Black Black Red Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Yellow Black Black Black Black Black Black\nBlack Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\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 Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Yellow Black Black Black Black Black Black\nBlack Red Green Black Black Black Black Black Black\nBlack Black Black 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:\nBrown Brown Brown Black Brown Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black\nGray Gray Black Brown Gray Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Gray Black Brown Brown Black Black Black Black Black Black Black\nGray Brown Black Gray Brown Black Black Black Black Black Black Black\nBlack Black Black Gray Black Gray Black Black Black Black Black Black\nBlack Black Gray Black Black Gray Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Black Brown Black Black Brown Black Brown Brown Brown\nBlack Black Black Brown Brown Black Black Brown Brown Black Black Black\nGray Gray Black Brown Gray Black Black Gray Brown Black Gray Gray\nBrown Brown Brown Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Brown Brown Black Black Brown Brown Black Gray Brown\nGray Gray Black Brown Gray Black Black Brown Gray Black Brown Gray\nBlack Black Black Brown Brown Gray Gray Black Gray Black Black Black\nBrown Brown Brown Black Brown Gray Gray Black Black Gray Black Black\n\n\nExample 2\nInput:\nOrange Black Purple Black Orange Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nBlack Gray Black Gray Black Black Black Black Black Black\nBlack Gray Orange Gray Black Black Black Black Black Black\nOrange Black Orange Orange Gray Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nPurple Black Purple Orange Black Black Black Black Black Black\n\nOutput:\nOrange Black Purple Black Orange Orange Black Purple Black Orange\nGray Black Black Black Black Black Black Black Black Gray\nBlack Gray Black Gray Black Black Gray Black Gray Black\nBlack Gray Orange Gray Black Black Gray Orange Gray Black\nOrange Gray Orange Gray Gray Gray Orange Orange Black Orange\nGray Black Purple Black Black Black Black Purple Black Black\nOrange Black Purple Orange Orange Black Orange Purple Black Purple\n\n\nExample 3\nInput:\nBlack Orange Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Orange Black Black Black Black Black Black Black Orange Black\nBlack Orange Black Black Orange Black Orange Black Black Orange Black\nBlack Black Black Orange Black Black Black Orange Black Black Black\nBlack Orange Orange Orange Orange Black Orange Orange Orange Orange Black\nBlack Black Black Orange Black Black Black Orange Black Black Black\nBlack Orange Black Black Orange Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Orange Orange Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Black Black Red Black Orange Orange Black\nOrange Black Red Black Black Red Orange Black Orange\nBlack Orange Red Black Black Orange Black Orange Black\nBlack Black Black Black Red Black Red Black Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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```\nRed Red Black Black Red Black Orange Red Red\nOrange Black Red Black Black Red Red Black Orange\nBlack Orange Red Black Black Orange Red Orange Black\nBlack Black Black Black Red Black Red Black Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Red Black Red\nBlack Orange Red Black Black Orange Black Orange Black\nOrange Black Red Black Black Red Orange Black Orange\nRed Red Black Black Red Black Orange Orange Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black\nBlack Black Yellow Blue Blue Black Yellow Yellow\nYellow Yellow Yellow Blue Blue Black Black Black\nBlack Black Yellow Black Yellow Black Black Yellow\nBlack Black Blue Blue Yellow Black Yellow Black\nYellow Black Blue Blue Black Black Black Black\nBlack Yellow Black Black Yellow Yellow Yellow Black\n\nOutput:\nYellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Yellow Black Black Black\nBlue Blue Black Black Yellow Black Black Black Black\nBlue Blue Black Yellow Black Black Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Black Yellow Blue Blue Black Yellow Black\nBlack Yellow Black Yellow Blue Blue Black Black Black\nYellow Black Yellow Black Black Yellow Black Black Black\nBlack Yellow Black Black Black Black Black Black Black\n\nOutput:\nYellow\n\n\nExample 3\nInput:\nBlack Blue Blue Yellow Black\nYellow Blue Blue Black Black\nYellow Black Black Black Black\nBlue Blue Yellow Black Black\nBlue Blue Black Black Yellow\nBlack Black Black Yellow Black\n\nOutput:\nYellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Yellow Black\nBlack Black Black Black Black Black\nBlack Blue Blue Yellow Yellow Black\nYellow Blue Blue Black Blue Blue\nBlack Black Yellow Black Blue Blue\nYellow 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```\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:\nYellow Purple Orange Pink Yellow Pink Brown Purple\n\nOutput:\nYellow Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPink Orange Yellow Blue Red\n\nOutput:\nPink Black Black Black Black\n\n\nExample 3\nInput:\nOrange Gray Brown Yellow Yellow\n\nOutput:\nOrange Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Pink Gray Green Pink Brown Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray 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 Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Green Green Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\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 Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nYellow Purple Orange Pink Yellow\nPink Brown Purple Gray Pink\nOrange Brown Green Green Orange\nOrange Brown Orange Gray Orange\nBlue Pink Gray Purple Orange\n\nOutput:\nBlue Orange Orange Pink Yellow Blue Orange Orange Pink Yellow\nPink Brown Brown Brown Purple Pink Brown Brown Brown Purple\nGray Orange Green Purple Orange Gray Orange Green Purple Orange\nPurple Gray Green Gray Pink Purple Gray Green Gray Pink\nOrange Orange Orange Pink Yellow Orange Orange Orange Pink Yellow\nBlue Orange Orange Pink Yellow Blue Orange Orange Pink Yellow\nPink Brown Brown Brown Purple Pink Brown Brown Brown Purple\nGray Orange Green Purple Orange Gray Orange Green Purple Orange\nPurple Gray Green Gray Pink Purple Gray Green Gray Pink\nOrange Orange Orange Pink Yellow Orange Orange Orange Pink Yellow\n\n\nExample 2\nInput:\nGreen Pink Orange Yellow Blue\nRed Green Pink Blue Gray\nRed Orange Brown Blue Purple\nBrown Gray Brown Brown Purple\nPurple Brown Pink Orange Blue\n\nOutput:\nPurple Brown Red Red Green Purple Brown Red Red Green\nBrown Gray Orange Green Pink Brown Gray Orange Green Pink\nPink Brown Brown Pink Orange Pink Brown Brown Pink Orange\nOrange Brown Blue Blue Yellow Orange Brown Blue Blue Yellow\nBlue Purple Purple Gray Blue Blue Purple Purple Gray Blue\nPurple Brown Red Red Green Purple Brown Red Red Green\nBrown Gray Orange Green Pink Brown Gray Orange Green Pink\nPink Brown Brown Pink Orange Pink Brown Brown Pink Orange\nOrange Brown Blue Blue Yellow Orange Brown Blue Blue Yellow\nBlue Purple Purple Gray Blue Blue Purple Purple Gray Blue\n\n\nExample 3\nInput:\nGreen Orange Gray Brown Yellow\nYellow Red Green Blue Orange\nPurple Pink Orange Gray Pink\nBlue Purple Yellow Orange Green\nPurple Blue Blue Brown Green\n\nOutput:\nPurple Blue Purple Yellow Green Purple Blue Purple Yellow Green\nBlue Purple Pink Red Orange Blue Purple Pink Red Orange\nBlue Yellow Orange Green Gray Blue Yellow Orange Green Gray\nBrown Orange Gray Blue Brown Brown Orange Gray Blue Brown\nGreen Green Pink Orange Yellow Green Green Pink Orange Yellow\nPurple Blue Purple Yellow Green Purple Blue Purple Yellow Green\nBlue Purple Pink Red Orange Blue Purple Pink Red Orange\nBlue Yellow Orange Green Gray Blue Yellow Orange Green Gray\nBrown Orange Gray Blue Brown Brown Orange Gray Blue Brown\nGreen Green Pink Orange Yellow Green Green Pink Orange Yellow\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Pink Gray Green\nPink Brown Gray Brown Blue\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```\nPink Brown Pink Pink Gray Pink Brown Pink Pink Gray\nPurple Brown Gray Brown Gray Purple Brown Gray Brown Gray\nBrown Orange Pink Gray Pink Brown Orange Pink Gray Pink\nYellow Pink Gray Brown Gray Yellow Pink Gray Brown Gray\nBlue Pink Pink Blue Green Blue Pink Pink Blue Green\nPink Brown Pink Pink Gray Pink Brown Pink Pink Gray\nPurple Brown Gray Brown Gray Purple Brown Gray Brown Gray\nBrown Orange Pink Gray Pink Brown Orange Pink Gray Pink\nYellow Pink Gray Brown Gray Yellow Pink Gray Brown Gray\nBlue Pink Pink Blue Green Blue Pink Pink Blue Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black 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 Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Orange Black Black Black Black\nBlack Black Black Black Black Black Pink Blue Pink Orange Orange Orange Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Orange Pink Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Green Green Pink Pink Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Green Pink Pink Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Green Green Green Pink Pink\nBlack Black Black Black Brown Blue Blue Blue Blue Blue Green Green Pink Pink Black\nBlack Black Black Black Black Brown Brown Blue Green Green Green Green Pink Pink Black\nBlack Black Black Black Black Brown Brown Brown Brown Green Black Pink Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Yellow Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Gray Gray Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Orange Orange Gray Gray Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Gray Gray Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray\nBlack Black Black Black Gray Yellow Yellow Yellow Yellow Yellow Orange Orange Gray Gray Black\nBlack Black Black Black Black Gray Gray Yellow Orange Orange Orange Orange Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Orange Black Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Gray Black\nBlack Black Black Black Black Black Red Black Brown Brown Brown Brown Brown Gray Gray\nBlack Black Black Black Black Red Red Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Red Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown 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 Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Gray Black\nBlack Black Black Black Black Black Gray Black Yellow Yellow Yellow Yellow Yellow Gray Gray\nBlack Black Black Black Black Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Gray Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Purple Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Purple Purple Purple Black Black Black Black Black Black\nRed Red Red Red Red Red Red Purple Black Purple Black Black Black Black Black\nBlack Red Red Red Red Red Black Purple Purple Purple Purple Purple Black Black Black\nBlack Red Red Red Red Red Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Red Black Black Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Gray Gray Gray Purple Purple Purple Pink Purple Black Black Black\nBlack Black Black Black Gray Gray Gray Purple Purple Pink Pink Pink Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Purple Pink Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Yellow Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Yellow Yellow Yellow Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Yellow Black Yellow Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Orange Orange Orange Orange Orange Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Orange Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Gray Gray Gray Yellow Yellow Yellow Gray Yellow Black Black Black\nBlack Black Black Black Gray Gray Gray Yellow Yellow Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Yellow Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Brown Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Brown Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Pink Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Pink Pink Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Brown Black Green Yellow Green Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Green Pink Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Gray Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Gray Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Gray Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Gray Gray Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Gray Black Gray Yellow Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Gray Orange Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange 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 Green Purple Black Black Black Black Purple Black Brown Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Orange Purple Purple Black Black Black Black Pink Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Orange Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Green Black Black Green Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Blue Orange Black Black Black Black Purple Black Black\nBlack Green Black Black Black Red Black Blue Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Blue Black Black Black Black Gray Black Black Black Black Green Black Black Black\nBlack Black Black Purple Black Black Purple Brown Black Black Red Black Black Black Black Pink Black Black Black Black\nBlack Red Yellow Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Yellow\nOrange Black Black Black Black Black Black Orange Black Black Black Black Black Yellow Black Black Black Black Black Purple\nYellow Black Black Purple Black Black Brown Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Yellow Black Black Black Black Black Purple Black Yellow Black Gray Black Black Gray Orange Black\nOrange Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlue Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Orange Black Black Black\nRed Black Black Pink Orange Black Orange Black Black Yellow Black Black Black Orange Red Purple Black Black Black Blue\nBlack Black Black Black Black Black Pink Black Brown Green Black Black Black Black Black Gray Black Black Orange Black\nOrange Black Black Black Brown Black Black Black Black Black Purple Black Green Black Black Black Black Gray Black Pink\n\nOutput:\nPurple Purple Purple Purple Purple Green Purple Orange Purple Purple Purple Purple Purple Purple Pink Pink Pink Blue Blue Blue\nPurple Purple Purple Purple Purple Orange Orange Orange Gray Gray Gray Gray Gray Purple Pink Pink Pink Blue Blue Blue\nPurple Purple Purple Pink Pink Pink Pink Pink Gray Gray Gray Blue Blue Blue Blue Blue Pink Blue Blue Blue\nOrange Orange Orange Orange Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Pink Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Pink Green Green Green Green Red Red Red Red Red Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple\nGreen Green Green Red Red Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Purple Purple Green Green Green\nGreen Green Green Red Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Green Green Green Green Green Green\nGreen Purple Purple Purple Purple Brown Brown Brown Red Red Red Red Red Pink Pink Pink Pink Pink Green Green\nYellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Red Red Red Pink Pink Pink Pink Yellow Yellow Yellow\nOrange Orange Orange Yellow Yellow Orange Orange Orange Orange Orange Red Yellow Yellow Yellow Yellow Yellow Pink Purple Purple Purple\nYellow Purple Purple Purple Brown Brown Brown Brown Pink Pink Pink Pink Pink Yellow Yellow Yellow Pink Purple Purple Purple\nPurple Purple Yellow Yellow Yellow Yellow Yellow Brown Purple Purple Yellow Yellow Gray Gray Gray Gray Orange Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Blue Blue Purple Purple Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Orange Orange\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Purple Yellow Yellow Gray Yellow Orange Orange Orange Orange Orange Orange\nRed Pink Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Orange Red Purple Purple Purple Purple Blue Blue Blue\nRed Pink Orange Orange Pink Pink Brown Green Green Green Green Green Red Gray Gray Gray Orange Orange Orange Orange\nOrange Orange Brown Brown Brown Brown Brown Green Purple Purple Green Green Green Green Green Gray Gray Pink Pink Pink\nOrange Orange Brown Brown Brown Brown Brown Green Purple Purple Green Green Green Green Green Gray Gray Pink Pink Pink\nOrange Orange Brown Brown Brown Brown Brown Green Purple Purple Green Green Green Green Green Gray Gray Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Gray Black Black Purple Black Black Black Black Red Black Black Purple Black Black Gray Black Black Black Black\nBlack Black Yellow Black Black Black Black Orange Black Black Pink Black Black Blue Black Black Black Pink Black Gray\nBlack Black Black Gray Black Black Yellow Red Black Black Orange Black Black Black Black Black Gray Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Pink Yellow Blue Black Black Black Black\nBlack Black Black Black Orange Black Green Black Black Black Black Black Black Black Black Black Black Black Orange Black\nOrange Black Black Black Black Black Orange Black Red Black Black Blue Black Black Black Black Orange Black Brown Black\nOrange Black Blue Black Black Blue Black Black Orange Black Red Black Black Yellow Black Black Black Black Black Orange\nBlue Black Black Black Brown Black Black Black Pink Black Green Gray Blue Orange Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Brown Green Black Orange Gray Black Black Blue\nBlack Black Black Yellow Black Black Black Black Yellow Black Black Black Black Black Brown Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Purple Black Black Black Black\nPurple Black Black Black Black Black Black Black Red Orange Black Black Blue Black Black Brown Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Pink Brown Black Black Black Black Black Green Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Pink Black Red\nBlack Black Black Black Black Black Black Red Black Black Pink Red Black Black Black Black Gray Black Black Black\nBlack Brown Black Black Black Blue Black Black Black Black Orange Black Black Black Black Black Black Black Black Green\nPink Black Black Black Black Black Red Green Black Black Black Black Black Black Orange Black Black Pink Yellow Black\nBlack Purple Black Black Black Black Black Black Black Purple Black Black Black Black Black Yellow Black Black Brown Brown\n\nOutput:\nYellow Gray Gray Gray Yellow Red Red Red Orange Orange Orange Orange Orange Blue Gray Pink Pink Pink Pink Pink\nYellow Gray Gray Gray Yellow Red Red Red Pink Pink Pink Pink Yellow Blue Blue Blue Blue Blue Pink Pink\nYellow Gray Orange Orange Green Green Green Green Green Pink Pink Pink Yellow Blue Blue Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Red Red Red Blue Blue Blue Blue Blue Orange Orange Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Orange Orange Red Red Red Yellow Yellow Yellow Yellow Yellow Brown Orange Orange Orange\nBlue Blue Brown Brown Brown Brown Pink Pink Green Gray Blue Orange Orange Orange Orange Orange Brown Orange Orange Orange\nBlue Gray Gray Gray Gray Gray Pink Pink Green Gray Blue Orange Blue Blue Blue Blue Blue Orange Orange Orange\nRed Red Red Red Red Gray Pink Pink Green Gray Brown Green Green Orange Gray Gray Gray Blue Blue Blue\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Brown Brown Brown Brown Green Green Green Green\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Purple Purple Purple Purple Purple Green Green\nPurple Purple Purple Yellow Yellow Yellow Red Orange Orange Orange Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Yellow Yellow Yellow Red Orange Orange Orange Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Yellow Green Green Green Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Purple Purple Purple Purple Purple Gray Gray Gray Gray Brown Pink Pink Red Red Red\nBrown Brown Brown Brown Brown Red Red Red Pink Red Red Red Red Red Gray Gray Gray Gray Gray Red\nBrown Brown Brown Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Red Gray Gray Gray Green Green Green\nPink Pink Pink Blue Red Green Green Green Green Green Orange Orange Orange Orange Orange Pink Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Red Green Green Purple Purple Purple Purple Purple Orange Yellow Yellow Yellow Brown Brown Brown Brown\nPurple Purple Purple Purple Red Green Green Purple Purple Purple Purple Purple Orange Yellow Yellow Yellow Brown Brown Brown Brown\nPurple Purple Purple Purple Red Green Green Purple Purple Purple Purple Purple Orange Yellow Yellow Yellow Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Green Black Black Black Black Black Black Black Black Red Black Purple Black Black Black Blue Purple\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Pink Black Black Black Black Pink Black\nGreen Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Green Brown Black\nBlack Black Black Black Black Pink Black Black Black Red Black Black Black Black Blue Black Black Black Blue Black\nBlack Black Black Orange Gray Black Black Black Black Pink Brown Black Yellow Black Blue Pink Black Brown Purple Black\nBlack Black Black Black Black Black Black Red Black Blue Black Black Black Black Black Black Black Black Black Brown\nBlack Black Purple Black Black Black Black Pink Black Orange Black Black Green Black Yellow Black Black Black Black Pink\nYellow Black Black Black Black Black Black Black Yellow Black Black Black Black Orange Black Pink Red Blue Gray Black\nRed Black Black Yellow Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Pink Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlue Brown Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Purple Black Black Black\nGreen Pink Black Yellow Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Blue Black Black Black Yellow Purple Yellow Black Black Black Black Green Purple Pink Black Black Black Black Black\nBlack Black Brown Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Green Black Black Black Black Black Green Black Black Black Green Black Black Black Gray Red Green Green Black\nBrown Black Black Black Green Black Gray Red Black Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Pink Black Black Black Black Green Black Black Purple Black Black Black Black Black Black Black Black\nOrange Red Black Black Black Black Black Black Black Gray Gray Black Red Black Orange Brown Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Yellow Gray Gray Gray Gray Gray Black Red Pink Pink Pink Pink Green Brown Brown Brown Brown\nGreen Green Green Pink Pink Pink Pink Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Orange Gray Gray Gray Gray Gray Pink Brown Brown Yellow Yellow Blue Pink Pink Brown Purple Purple Purple Purple\nGreen Orange Gray Gray Gray Red Red Blue Blue Blue Blue Blue Blue Pink Pink Brown Purple Brown Brown Brown\nPurple Purple Purple Purple Purple Pink Pink Orange Orange Orange Green Green Yellow Yellow Yellow Yellow Yellow Pink Pink Pink\nYellow Yellow Yellow Purple Purple Pink Yellow Yellow Yellow Yellow Yellow Orange Orange Pink Red Blue Gray Gray Gray Gray\nRed Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow Orange Orange Pink Red Blue Gray Gray Gray Gray\nRed Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Orange Orange Pink Red Blue Gray Gray Gray Gray\nBlue Blue Blue Yellow Yellow Yellow Pink Pink Pink Pink Pink Orange Orange Pink Red Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Orange\nPink Yellow Yellow Gray Gray Gray Gray Gray Pink Pink Yellow Yellow Yellow Yellow Purple Purple Purple Red Red Red\nBlue Blue Blue Yellow Purple Yellow Yellow Yellow Yellow Yellow Green Purple Pink Pink Pink Pink Pink Red Red Red\nBrown Brown Brown Brown Brown Red Red Red Red Red Green Purple Pink Pink Pink Pink Gray Gray Gray Gray\nGreen Green Green Green Brown Green Green Green Green Green Green Green Green Gray Red Green Green Green Green Green\nBrown Brown Green Green Gray Red Red Red Red Red Green Green Green Gray Red Green Purple Purple Purple Purple\nBrown Pink Pink Pink Pink Pink Green Green Green Purple Purple Purple Purple Purple Red Green Purple Purple Purple Purple\nRed Red Red Red Pink Pink Green Gray Gray Gray Red Red Orange Brown Brown Brown Brown Brown Purple Purple\nRed Blue Blue Blue Blue Blue Green Gray Gray Gray Red Red Orange Brown Brown Brown Brown Brown Purple Purple\nRed Blue Blue Blue Blue Blue Green Gray Gray Gray Red Red Orange Brown Brown Brown Brown Brown Purple Purple\nRed Blue Blue Blue Blue Blue Green Gray Gray Gray Red Red Orange Brown Brown Brown Brown Brown Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Black Black Black Black Yellow Black Black Black Black Blue Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Gray Black Black Pink Pink Yellow Black Pink Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Red Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue Black Black Black Black\nBlack Black Green Black Blue Gray Black Black Black Black Black Black Black Black Black Pink Black Pink Orange Black\nYellow Black Black Black Black Black Black Brown Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Orange Orange Gray Purple Blue Black Yellow Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Yellow Black Orange Black Black Black Black Black Black Black Black Blue\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black Black Orange Black Black Black Purple Gray\nBlack Black Black Black Black Brown Black Black Green Green Black Black Blue Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Pink Black Black Orange Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Blue Black Black Black Green Black Red Brown Black Black Black Black Black\nBlack Black Black Black Black Gray Blue Black Black Black Blue Black Black Black Black Yellow Black Black Black Black\nBlack Pink Pink Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Purple Black Black Gray Black Gray Pink Black Black Black Black Black Black Black\nBlack Black Black Orange Blue Black Purple Pink Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Brown Black Red Black Black Black Black Black Black Black Black Black Yellow Green Black\nBlack Blue Black Black Black Black Brown Green Black Red Black Black Orange Black Black Blue Black Purple 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```\nPink Gray Gray Gray Pink Pink Yellow Red Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Purple Purple Purple\nPink Gray Gray Gray Pink Pink Yellow Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Purple Purple\nGreen Green Blue Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Pink Pink Pink Orange Orange Orange Orange\nYellow Yellow Yellow Gray Gray Brown Brown Brown Brown Brown Blue Red Red Red Red Red Orange Orange Orange Orange\nYellow Green Green Green Green Orange Orange Gray Purple Blue Blue Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nOrange Orange Orange Orange Green Orange Yellow Yellow Orange Orange Orange Orange Orange Yellow Yellow Yellow Orange Blue Blue Blue\nGreen Green Green Orange Green Orange Yellow Yellow Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Blue\nGreen Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Purple Gray Gray Gray\nGreen Red Red Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Pink Pink Pink Pink Pink Gray\nGreen Red Red Brown Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Pink Pink Pink Gray\nGreen Green Green Green Green Blue Blue Blue Blue Green Green Red Brown Brown Brown Brown Brown Pink Pink Gray\nGreen Green Green Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Pink Gray\nPink Pink Pink Pink Red Red Red Red Red Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Pink Black\nOrange Orange Orange Pink Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Yellow Yellow Yellow Black Black\nOrange Orange Blue Blue Purple Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Yellow Yellow Yellow Black Black\nOrange Orange Blue Blue Yellow Yellow Yellow Yellow Yellow Pink Purple Purple Purple Purple Purple Yellow Yellow Blue Blue Blue\nOrange Orange Blue Brown Brown Red Red Red Red Red Purple Purple Purple Purple Purple Yellow Green Green Green Green\nBlue Blue Blue Blue Brown Green Green Red Red Red Orange Orange Orange Blue Blue Purple Pink Pink Pink Pink\nBlue Blue Blue Blue Brown Green Green Red Red Red Orange Orange Orange Blue Blue Purple Pink Pink Pink Pink\nBlue Blue Blue Blue Brown Green Green Red Red Red Orange Orange Orange Blue Blue Purple 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Red Red Red Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Green Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Blue Blue Black Black Black Black Green Black Black Green Black Black Black\nBlack Black Black Blue Black Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Green Blue Blue Green Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Blue Blue Blue\nBlue Blue Red Red Blue Blue Blue Blue Green Blue Blue Green Blue Blue Blue\nBlue Blue Blue Red Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Red Red Red Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Red Red Red Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Red Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Brown Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Purple Black Purple Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Purple Purple Purple Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Purple Purple Purple Black\nBlack Black Black Black Black Brown Black Black Brown Black Black Purple Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown 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\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Brown\nBrown Brown Red Red Red Brown Brown Brown Brown Brown Gray Gray Gray Gray Brown\nBrown Brown Red Red Red Brown Brown Brown Brown Brown Gray Gray Gray Gray Brown\nBrown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown\nBrown Brown Brown Brown Brown Blue Brown Brown Blue Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Blue Blue Blue Blue Brown Brown Purple Brown Purple Brown\nBrown Brown Brown Brown Brown Blue Blue Blue Blue Brown Brown Purple Purple Purple Brown\nBrown Brown Brown Brown Brown Blue Blue Blue Blue Brown Brown Purple Purple Purple Brown\nBrown Brown Brown Brown Brown Blue Brown Brown Blue Brown Brown Purple Brown Purple Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black 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 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 Orange Orange 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 Green Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Orange Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Orange Orange Orange Green Green Green Green Green Green\nGreen Green Green Green Green Green Orange Orange Orange Green Green Green Green Green Green\nGreen Green Green Green Green Green Orange Orange Orange Green Green Green Green Green Green\nGreen Green Green Green Green Green Orange Orange 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 Yellow Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Yellow 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 Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Gray Gray Gray Gray Black Black\nBlack Black Black Red Red Red Red Red Black Gray Gray Gray Gray Black Black\nBlack Black Black Red Red Red Black Black Black Gray Black Black Gray Black Black\nBlack Black Black Red Red Red Black Black Black Gray Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Brown Brown Brown Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Gray Yellow Yellow Yellow Yellow Gray Gray\nGray Gray Gray Red Red Red Red Red Gray Yellow Yellow Yellow Yellow Gray Gray\nGray Gray Gray Red Red Red Gray Gray Gray Yellow Gray Gray Yellow Gray Gray\nGray Gray Gray Red Red Red Gray Gray Gray Yellow Gray Gray Yellow Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow 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 Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Brown Brown Brown 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"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Brown Gray Brown Gray Brown Gray Brown\nBrown Gray Brown Gray Brown Gray Brown Gray\nGray Brown Gray Brown Gray Brown Gray Brown\nBrown Gray Brown Gray Brown Gray Brown Gray\nGray Brown Gray Brown Gray Brown Gray Brown\nBrown Gray Brown Gray Brown Gray Brown Gray\nGray Brown Gray Brown Gray Brown Gray Brown\nBrown Gray Brown Gray Brown Gray Brown Gray\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:\nOrange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nPink Blue Pink Blue Pink Blue Pink Blue Pink\nBlue Pink Blue Pink Blue Pink Blue Pink Blue\nPink Blue Pink Blue Pink Blue Pink Blue Pink\nBlue Pink Blue Pink Blue Pink Blue Pink Blue\nPink Blue Pink Blue Pink Blue Pink Blue Pink\nBlue Pink Blue Pink Blue Pink Blue Pink Blue\nPink Blue Pink Blue Pink Blue Pink Blue Pink\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nYellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow Brown\nYellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow Brown\nYellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow Brown\nYellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow Brown\nYellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Blue Blue Black Black Green Green Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Red Red Black Black Blue Blue Black Black Black\nBlack Black Black Red Red 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 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 Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Blue Blue Blue Black Black Black Yellow Black Yellow Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Black Green Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black\nBlack Red Red Red Black Black Black Green Black Green Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Blue Black Black Black Black Black Green Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Green Black Black\nBlack Black Black Black Black Blue Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Red Black Black Black Black Black Blue Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Blue Black Black\nBlack Black Black Black Black Red Black Black Black Black Blue Blue Blue 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 Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Red Red Black Black Black Red Red Black Black Black Black Black Red\nBlack Black Red Black Black Black Red Red Black Black Black Black Red Red\nBlack Red Red Black Black Black Black Red Red Black Black Black Black Red\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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Yellow Yellow Black Black Black Black Black Yellow\nBlack Black Yellow Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\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\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\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\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"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Pink Black Pink Black Black\nBlack Black Black Black Pink Black Black Pink 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Black Black Black Black Black\nBlack Black Brown Black Black Brown Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black\nBlack Black Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Purple Black Black Black\nBlack 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\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:\nBlack Brown Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown\nBrown Brown Black Black Black Black\nBrown Black Brown Black Black Black\nBrown Black Black Brown Black Black\nBrown Black Black Black Brown Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack 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 Red Red Red Black Black\nBlack Black Blue Blue Blue Blue Red Red Red Black Black\nBlack Black Blue Blue Blue Blue Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Red Red Red Black Black\nBlack Black Black Blue Blue Blue Blue Red Red Black Black\nBlack Black Black Blue Blue Blue Blue Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Red Red Red Black Black\nBlack Black Black Black Blue Blue Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Red Red Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Blue Blue Blue Blue Red Red Red Red Black\nBlack Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Black Blue Blue Blue Blue Red Red Red Black\nBlack Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Purple Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Gray Yellow\nBlack Black Black Black Black Black Black Black Purple Gray Purple Yellow Purple\nBlack Black Black Black Black Black Black Black Purple Purple Gray Gray Yellow\nBlack Black Black Black Black Black Black Black Purple Blue Purple Black Black\nBlack Black Black Black Black Black Black Brown Blue Brown Black Black Black\nBlack Black Black Black Black Purple Blue Gray Brown Blue Brown Black Black\nBlack Black Black Black Black Gray Purple Brown Gray Brown Purple Black Black\nBlack Black Black Black Black Purple Blue Purple Brown Blue Brown 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 Yellow Gray Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Purple Yellow\nBlack Black Black Black Black Black Black Black Purple Purple Yellow Gray Yellow\nBlack Black Black Black Black Black Black Black Purple Gray Purple Yellow Purple\nBlack Black Black Black Black Black Black Black Purple Purple Gray Black Black\nBlack Black Black Black Black Black Black Gray Purple Blue Black Black Black\nBlack Black Black Black Black Gray Purple Brown Blue Brown Purple Black Black\nBlack Black Black Black Black Purple Blue Gray Brown Blue Brown Black Black\nBlack Black Black Black Black Gray Purple Brown Gray Brown Purple Black Black\n\n\nExample 2\nInput:\nBlack Orange Orange Orange Purple Green Purple Black Black Black Black Black\nBlack Orange Orange Gray Pink Purple Green Green Green Black Black Black\nBlack Orange Orange Orange Purple Pink Pink Green Green Black Black Black\nBlack Black Black Black Black Purple Green Gray Green Black Black Black\nBlack Black Black Black Black Purple Orange Purple Gray Green Gray Black\nBlack Black Black Black Black Black Black Black Green Gray Purple Black\nBlack Black Black Black Black Black Black Black Gray Orange Gray Black\nBlack Black Black Black Black Black Black Black Purple Gray Purple Black\nBlack Black Black Black Black Black Black Black Gray Purple Pink Black\nPink Pink Pink Black Black Black Black Black Purple Purple Purple Black\nPurple Pink Purple Black Black Black Black Black Purple Gray Gray Black\nPink Gray Pink Black Black Black Black Black Gray Pink Gray Black\n\nOutput:\nBlack Orange Orange Gray Pink Purple Green Black Black Black Black Black\nBlack Orange Orange Orange Purple Green Purple Green Green Black Black Black\nBlack Orange Orange Gray Pink Purple Green Green Green Black Black Black\nBlack Black Black Black Black Pink Pink Green Green Black Black Black\nBlack Black Black Black Black Purple Green Gray Green Gray Purple Black\nBlack Black Black Black Black Black Black Black Gray Green Gray Black\nBlack Black Black Black Black Black Black Black Green Gray Purple Black\nBlack Black Black Black Black Black Black Black Gray Orange Gray Black\nBlack Black Black Black Black Black Black Black Purple Gray Purple Black\nPurple Pink Purple Black Black Black Black Black Gray Purple Pink Black\nPink Pink Pink Black Black Black Black Black Purple Purple Purple Black\nPurple Pink Purple Black Black Black Black Black Purple Gray Gray 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 Green Gray Green Black Black\nGray Yellow Gray Black Black Black Black Black Black Yellow Green Pink Black Black\nPink Gray Green Yellow Gray Yellow Black Black Black Green Yellow Green Black Black\nGray Yellow Gray Green Yellow Gray Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Pink Yellow Yellow Pink Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Green Yellow Green Gray Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Green Black Black Black Black\nBlack Black Black Black Black Black Black Gray Blue Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Green Pink Black Black\nPink Gray Green Black Black Black Black Black Black Green Gray Green Black Black\nGray Yellow Gray Green Yellow Gray Black Black Black Yellow Green Pink Black Black\nPink Gray Green Yellow Gray Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Green Yellow Gray Green Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Pink Yellow Green Black Black Black Black\nBlack Black Black Black Black Black Green Yellow Green Gray Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Red Brown Black Black Black Black Black Black\nBlack Black Black Black Black Blue Brown Blue Black Black Black Black Black Black\nBlack Black Black Black Black Brown Blue Brown Black Black Black Black Black Black\nBlack Black Black Black Blue Purple Blue Black Blue Purple Blue Black Black Black\nBlack Black Black Black Purple Blue Purple Black Red Blue Brown Black Black Black\nBlack Black Black Black Blue Purple Blue Black Blue Blue Blue Black Black Black\nRed Purple Red Black Red Brown Red Black Black Black Black Black Black Black\nPurple Red Blue Black Brown Red Blue Black Black Black Black Black Black Black\nRed Purple Red Black Red Purple Red Black Black Black Black Black Black Black\nBlack Black Black Black Blue Red Blue Black Brown Blue Brown Red Gray Black\nBlack Black Black Black Black Black Black Black Blue Brown Blue Gray Purple Black\nBlack Black Black Black Black Black Black Black Brown Purple Brown Red Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Brown Blue Black Black Black Black Black Black\nBlack Black Black Black Black Brown Red Brown Black Black Black Black Black Black\nBlack Black Black Black Black Blue Brown Blue Black Black Black Black Black Black\nBlack Black Black Black Purple Brown Blue Black Red Blue Brown Black Black Black\nBlack Black Black Black Blue Purple Blue Black Blue Purple Blue Black Black Black\nBlack Black Black Black Purple Blue Purple Black Red Blue Brown Black Black Black\nPurple Red Blue Black Blue Purple Blue Black Black Black Black Black Black Black\nRed Purple Red Black Red Brown Red Black Black Black Black Black Black Black\nPurple Red Blue Black Brown Red Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Purple Red Black Blue Brown Blue Gray Purple Black\nBlack Black Black Black Black Black Black Black Brown Blue Brown Red Gray Black\nBlack Black Black Black Black Black Black Black Blue Brown Blue Gray Purple Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack\nBlack\nPurple\nBlack\nBlack\n\nOutput:\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\n\n\nExample 2\nInput:\nPurple\nBlack\nBlack\nBlack\nBlack\n\nOutput:\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\n\n\nExample 3\nInput:\nBlack\nPurple\nPurple\nPurple\nBlack\nPurple\n\nOutput:\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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nPurple\nBlack\nPurple\nBlack\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple 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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Gray Black Black Black Black Black\nGray Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nGray Blue Black Black Black Black Black\nBlue Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGray Pink Black Black Black\nPink Gray 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:\nPink Gray Black Black Black\nGray Pink Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nPurple Brown Purple Black Black Black\nBrown Purple Brown Black Black Black\nPurple Brown Purple Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBrown Purple Brown Black Black Black\nPurple Brown Purple Black Black Black\nBrown Purple Brown Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Brown Black Black\nBrown Yellow Black Black\nBlack Black Black 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```\nBrown Yellow Black Black\nYellow Brown Black Black\nBlack Black Black Black\nBlack Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Black Black Black\nYellow Yellow Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack 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:\nPink Pink Black Black Black Black\nPink Pink Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\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 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 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 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\n\n\nExample 3\nInput:\nOrange Orange Black Black Black Black\nOrange Orange Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Black Black\nGray Gray Black Black\nBlack Black Black 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```\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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Black Blue Black Black Black Black Black Black Black\nBlue Black Blue Black Green Green Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Black Green Black Black\n\nOutput:\nBlue Blue Blue Black Blue Blue Black Black Black Black\nBlue Blue Blue Black Blue Blue Black Black Black Black\nBlue Blue Blue Black Blue Blue Black Black Blue Blue\nBlue Blue Black Black Blue Blue Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Black Green Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Red Red\nBlack Black Blue Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Green Green Green\nBlack Red Red Black Black Black Black Black Black Black\nBlack Red Red Black Black Red Red Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Red Red\nBlack Black Blue Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Red Red Black Blue Blue Black Green Blue Blue\nBlack Red Red Black Blue Blue Black Black Blue Blue\nBlack Red Red Black Black Red Red Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Red Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black\n\n\nExample 3\nInput:\nBlack Green Green Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Red Red Black\nBlack Green Green Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Red Red Red Black Black\nBlue Black Black Black Black Red Red Red Black Black\nBlue 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 Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\n\nOutput:\nBlack Green Blue Blue Blue Blue Black Black Black Black\nBlack Green Blue Blue Blue Blue Black Red Red Black\nBlack Green Blue Blue Blue Blue Black Red Red Black\nBlack Black Blue Blue Blue Blue Black Black Black Black\nBlue Black Blue Blue Blue Blue Red Red Black Black\nBlue Black Blue Blue Blue Blue Red Red Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlue Blue Black Black Black Black Red Black Black Black\nBlue Blue Black Black Black Black Red Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Red Red\nBlack Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Green Green Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Red Red\nBlack Red Red Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Black Green Black Black Blue Black Black\nGreen Green Green Green Black Black Black Green\nBlack Blue Blue Black Red Black Red Red\nBlack Red Black Blue Red Black Black Green\nBlue Black Red Black Blue Green Black Black\nBlue Black Red Black Red Black Green Blue\nGreen Black Black Black Blue Black Red Green\nGreen Red Red Blue Black Black Green Black\nBlack Black Black Black Black Red Black Green\nRed Black Blue Black Green Green Blue Blue\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Red Blue Black Blue Green Black\nBlack Black Black Black Black Green Red Blue Green Black\nBlack Blue Black Black Black Red Black Black Blue Blue\nBlue Red Black Blue Black Black Black Blue Black Green\nBlue Black Black Green Green Green Green Black Blue Green\nBlue Green Blue Black Black Black Blue Black Black Red\nBlue Black Black Green Black Green Green Blue Blue Black\n\nOutput:\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\n\n\nExample 3\nInput:\nBlue Black Black Black Black Black Red Black Black\nRed Black Black Black Black Black Black Black Black\nBlack Red Blue Black Black Black Green Black Black\nBlack Black Black Black Green Black Red Black Black\nBlack Black Black Black Black Red Black Blue Black\nBlack Black Red Black Black Black Red Red Green\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red\nBlue Blue Blue Black Black Black Black Black\nGreen Green Green Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Black Black Black Blue Black Black\nBlack Black Black Green Black Blue Black Blue Black\nBlack Black Black Black Blue Red Black Black Blue\nBlue Black Black Black Green Black Black Blue Black\nBlue Green Black Black Black Black Black Black Black\nBlue Black Blue Black Red Blue Black Blue Blue\nBlack Blue Black Black Black Blue Black Blue Blue\nGreen Black Black Blue Black Black Blue Black Blue\nRed Blue Black Blue Red Black Blue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green 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 Pink Black Pink Pink Black Pink\nPink Black Pink Pink Pink Pink Black Pink\nBlack Pink Black Pink Pink Pink Black Pink\nPink Pink Black Black Black Black Pink Black\nBlack Black Pink Black Black Black Pink Black\nPink Pink Black Black Pink Pink Black Black\nPink Black Pink Pink Black Pink Pink Black\nBlack Pink Black Pink Pink Pink Black Black\n\nOutput:\nBlack Black Pink Black Pink Pink Black Pink Pink Black Pink Pink Black Pink Black Black\nPink Black Pink Pink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Black Pink\nBlack Pink Black Pink Pink Pink Black Pink Pink Black Pink Pink Pink Black Pink Black\nPink Pink Black Black Black Black Pink Black Black Pink Black Black Black Black Pink Pink\nBlack Black Pink Black Black Black Pink Black Black Pink Black Black Black Pink Black Black\nPink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink\nPink Black Pink Pink Black Pink Pink Black Black Pink Pink Black Pink Pink Black Pink\nBlack Pink Black Pink Pink Pink Black Black Black Black Pink Pink Pink Black Pink Black\n\n\nExample 2\nInput:\nBlack Yellow Yellow Black Yellow Yellow Black\nBlack Yellow Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Black\nYellow Black Black Black Yellow Black Yellow\nBlack Black Yellow Black Black Yellow Black\nBlack Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow\n\nOutput:\nBlack Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Black\nBlack Yellow Black Black Black Yellow Black Black Yellow Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black\nYellow Black Black Black Yellow Black Yellow Yellow Black Yellow Black Black Black Yellow\nBlack Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Black Black Black Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Pink Pink Pink Black Pink Black Black\nPink Pink Black Pink Black Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Black Black Black Pink Pink\nPink Black Pink Pink Black Pink Pink Pink Black\nPink Black Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black\nPink Black Pink Pink Black Black Black Pink Black\n\nOutput:\nBlack Black Pink Pink Pink Black Pink Black Black Black Black Pink Black Pink Pink Pink Black Black\nPink Pink Black Pink Black Pink Pink Pink Black Black Pink Pink Pink Black Pink Black Pink Pink\nBlack Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black\nBlack Black Pink Pink Black Black Black Pink Pink Pink Pink Black Black Black Pink Pink Black Black\nPink Black Pink Pink Black Pink Pink Pink Black Black Pink Pink Pink Black Pink Pink Black Pink\nPink Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Pink\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black\nPink Black Pink Pink Black Black Black Pink Black Black Pink Black Black Black Pink Pink Black Pink\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Purple Black Purple\nBlack Black Black Purple Black\nBlack Purple Purple Purple Purple\nBlack Black Purple Black Black\nPurple Black Purple 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```\nPurple Black Purple Black Purple Purple Black Purple Black Purple\nBlack Black Black Purple Black Black Purple Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Black Black Black Black Purple Black Black\nPurple Black Purple Black Purple Purple Black Purple 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 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 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 Purple Purple Black Black Black\nBlack Black Black Purple Purple 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\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 Gray Black Black Black Black\nBlack Black Black Gray Gray Gray 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\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 Gray Gray Black Black Black Black\nBlack Black Black Gray Gray 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 Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black\nBlack Black Black Black 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\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 Purple Purple Black Black Black\nBlack Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black\nBlack Black Black Black Purple Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black\nBlack Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue 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\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 Blue Black Black Black Black\nBlack Black Black 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 Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black 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 Gray\nOrange Black\nRed Brown\n\nOutput:\nBlack Gray Gray Black\nOrange Black Black Orange\nRed Brown Brown Red\nRed Brown Brown Red\nOrange Black Black Orange\nBlack Gray Gray Black\n\n\nExample 2\nInput:\nBlack Black Black Yellow Black\nBlack Black Black Black Green\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Black Black Yellow 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 Green Green Black Black Black Black\nBlack Black Black Yellow Black Black Yellow Black Black Black\n\n\nExample 3\nInput:\nBlack Brown Black Black\nBlack Black Green Black\nBlack Black Black Black\nBlack Black Red Black\n\nOutput:\nBlack Brown Black Black Black Black Brown Black\nBlack Black Green Black Black Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Red Black Black Red Black Black\nBlack Black Red Black Black Red Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Black Black Green Black Black\nBlack Brown Black Black Black Black Brown Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Red\nBlack Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Blue\nBlack Black Black Black\nBlack Black Black Black\nBlue Red 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Black Orange Orange Black Orange Black Black Black Black Black\nOrange Black Orange Black Black Orange Black Orange Black Black Black Black\nOrange Orange Black Black Black Black Orange Black Orange Black Black Black\nOrange Orange Black Black Black Black Orange Orange Orange Orange Black Black\nOrange Black Orange Black Black Orange Black Orange Orange Black Orange Black\nBlack Orange Black Orange Orange Black Orange Black Black Orange Black Orange\nBlack Black Orange Orange Orange Orange Black Black Black Black Orange Orange\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 Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Black Black Orange Orange Black Black Black Black\nOrange Black Orange Orange Black Black Orange Black Black Black\nBlack Orange Orange Orange Black Black Black Orange Black Black\nBlack Orange Orange Black Orange Orange Black Black Orange Black\nOrange Black Black Orange Orange Orange Black Black Black Orange\nOrange Black Black Orange Orange Black Orange Orange Black Orange\nBlack Orange Orange Black Black Orange Orange Orange Orange Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Black Gray Gray Black Gray Black Black Black Black\nGray Black Gray Black Black Gray Black Gray Black Black Black\nGray Gray Black Black Black Gray Gray Gray Gray Black Black\nGray Gray Black Black Gray Black Gray Gray Black Gray Black\nGray Black Gray Gray Black Gray Black Black Gray Black Gray\nBlack Gray Gray Gray Gray Black Black Black Black Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Pink Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Yellow Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Yellow Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black\nPink Black Pink Black Pink Black Black\nPink Black Pink Black Pink Pink Black\nPink Pink Pink Pink Pink 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\nOrange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange Black Black Black Black Black Black\nOrange Black Orange Black Black Black Black\nOrange Black Orange Orange Black Black Black\nOrange Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Black Black Black\nOrange Black Orange Orange Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Gray Black Gray Black Gray Black Black\nBlack Gray Gray Black Gray Black Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Black Gray Black Gray Gray Black\nBlack Black Gray Black Gray Black Gray Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nOrange Black Black Black Black Black Black Brown Brown Black\nPurple Black Black Pink Black Purple Black Brown Brown Black\nBlack Yellow Black Black Black Black Black Black Black Yellow\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Green Black\nBlack Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red\nGray Black Black Black Black Green Green Black Black Red\nOrange Black Black Gray Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Purple Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Purple\nRed Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Pink Black Blue 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 Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Pink Black Black Black Black Black Blue Green\nBlack Black Black Yellow Black Black Brown Black Black Green\nBlack Black Black Black Black Purple Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlue Brown Black Black Black Black Black Black Black Yellow\nBlack Blue Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Brown Black Pink Black Black Black Black Black\nBlack Black Black Black Black Orange Black Brown Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Blue Black Purple Blue Orange Black Black Black\nBlack Blue Gray Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Purple Brown Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Brown Black Black Black Black Black Gray\nPurple Orange Black Black Black Green Orange Black Black Black\nBlack Black Black Black Orange 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```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
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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.",
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"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Brown Purple Gray Pink Orange Brown Green Green Orange Orange Brown Brown Orange Orange Green Green Brown Orange Pink Gray Purple Brown Pink\nOrange Gray Orange Blue Pink Gray Purple Orange Yellow Purple Red Orange Orange Red Purple Yellow Orange Purple Gray Pink Blue Orange Gray Orange\nOrange Green Orange Blue Purple Green Green Green Purple Yellow Gray Brown Brown Gray Yellow Purple Green Green Green Purple Blue Orange Green Orange\nPurple Brown Orange Yellow Yellow Green Orange Purple Gray Pink Pink Purple Purple Pink Pink Gray Purple Orange Green Yellow Yellow Orange Brown Purple\nGray Brown Blue Purple Purple Yellow Yellow Gray Yellow Pink Blue Green Green Blue Pink Yellow Gray Yellow Yellow Purple Purple Blue Brown Gray\nPurple Brown Purple Blue Yellow Red Gray Pink Orange Red Brown Red Red Brown Red Orange Pink Gray Red Yellow Blue Purple Brown Purple\nBrown Red Purple Purple Orange Pink Red Orange Brown Blue Brown Gray Gray Brown Blue Brown Orange Red Pink Orange Purple Purple Red Brown\nPink Blue Blue Yellow Purple Blue Blue Orange Purple Red Purple Green Green Purple Red Purple Orange Blue Blue Purple Yellow Blue Blue Pink\nGreen Blue Brown Red Blue Red Purple Orange Green Brown Orange Pink Pink Orange Brown Green Orange Purple Red Blue Red Brown Blue Green\nPink Yellow Red Orange Pink Green Brown Brown Purple Orange Purple Orange Orange Purple Orange Purple Brown Brown Green Pink Orange Red Yellow Pink\nRed Yellow Red Blue Red Gray Orange Pink Yellow Brown Pink Red Red Pink Brown Yellow Pink Orange Gray Red Blue Red Yellow Red\nBrown Red Green Purple Purple Red Yellow Gray Red Gray Purple Red Red Purple Gray Red Gray Yellow Red Purple Purple Green Red Brown\nRed Orange Brown Green Yellow Red Gray Orange Green Yellow Blue Purple Purple Blue Yellow Green Orange Gray Red Yellow Green Brown Orange Red\nBrown Blue Yellow Gray Gray Red Purple Yellow Purple Blue Green Blue Blue Green Blue Purple Yellow Purple Red Gray Gray Yellow Blue Brown\nOrange Yellow Purple Orange Yellow Brown Yellow Green Brown Purple Gray Blue Blue Gray Purple Brown Green Yellow Brown Yellow Orange Purple Yellow Orange\nGray Brown Gray Gray Red Yellow Pink Green Green Red Purple Blue Blue Purple Red Green Green Pink Yellow Red Gray Gray Brown Gray\nPink Purple Pink Pink Yellow Yellow Purple Pink Blue Brown Purple Red Red Purple Brown Blue Pink Purple Yellow Yellow Pink Pink Purple Pink\nYellow Blue Orange Purple Orange Green Blue Orange Purple Blue Pink Orange Orange Pink Blue Purple Orange Blue Green Orange Purple Orange Blue Yellow\nOrange Pink Orange Blue Green Pink Gray Gray Red Gray Yellow Purple Purple Yellow Gray Red Gray Gray Pink Green Blue Orange Pink Orange\nRed Red Red Yellow Brown Green Orange Yellow Green Orange Purple Orange Orange Purple Orange Green Yellow Orange Green Brown Yellow Red Red Red\nPink Yellow Purple Gray Gray Purple Brown Red Brown Green Red Red Red Red Green Brown Red Brown Purple Gray Gray Purple Yellow Pink\nPurple Blue Yellow Blue Orange Orange Blue Purple Brown Gray Red Orange Orange Red Gray Brown Purple Blue Orange Orange Blue Yellow Blue Purple\nGreen Purple Yellow Pink Pink Blue Pink Green Purple Brown Blue Purple Purple Blue Brown Purple Green Pink Blue Pink Pink Yellow Purple Green\nPink Blue Gray Red Gray Red Green Yellow Gray Brown Purple Green Green Purple Brown Gray Yellow Green Red Gray Red Gray Blue Pink\n\nOutput:\nPink Brown Purple Gray Pink Orange Brown Green Green Orange Orange Brown Red Blue Blue Red Red Red Blue Purple Yellow Pink Red Purple\nOrange Gray Orange Blue Pink Gray Purple Orange Yellow Purple Red Orange Blue Green Pink Gray Blue Pink Yellow Purple Orange Blue Yellow Blue\nOrange Green Orange Blue Purple Green Green Green Purple Yellow Gray Brown Red Yellow Gray Pink Red Red Red Pink Orange Blue Red Blue\nPurple Brown Orange Yellow Yellow Green Orange Purple Gray Pink Pink Purple Pink Purple Purple Yellow Pink Blue Red Gray Gray Blue Red Pink\nGray Brown Blue Purple Purple Yellow Yellow Gray Yellow Pink Blue Green Red Orange Purple Gray Yellow Gray Gray Pink Pink Orange Red Yellow\nPurple Brown Purple Blue Yellow Red Gray Pink Orange Red Brown Red Green Red Green Blue Purple Yellow Green Gray Orange Pink Red Pink\nBrown Red Purple Purple Orange Pink Red Orange Brown Blue Brown Gray Yellow Red Orange Red Blue Green Purple Blue Pink Pink Green Red\nPink Blue Blue Yellow Purple Blue Blue Orange Purple Red Purple Green Red Pink Green Pink Blue Orange Orange Pink Gray Orange Orange Purple\nGreen Blue Brown Red Blue Red Purple Orange Green Brown Orange Pink Purple Blue Red Red Blue Pink Green Orange Green Red Orange Red\nPink Yellow Red Orange Pink Green Brown Brown Purple Orange Purple Orange Blue Pink Blue Pink Red Red Red Purple Blue Green Gray Purple\nRed Yellow Red Blue Red Gray Orange Pink Yellow Brown Pink Red Green Purple Red Gray Purple Blue Yellow Green Orange Green Gray Green\nBrown Red Green Purple Purple Red Yellow Gray Red Gray Purple Red Green Pink Yellow Green Yellow Gray Green Pink Pink Red Green Red\nRed Orange Brown Green Yellow Red Gray Orange Green Yellow Blue Purple Pink Orange Gray Red Blue Yellow Green Gray Red Red Blue Green\nBrown Blue Yellow Gray Gray Red Purple Yellow Purple Blue Green Blue Orange Red Orange Pink Gray Pink Green Yellow Yellow Gray Orange Red\nOrange Yellow Purple Orange Yellow Brown Yellow Green Brown Purple Gray Blue Orange Yellow Pink Red Red Gray Red Gray Blue Pink Gray Blue\nGray Brown Gray Gray Red Yellow Pink Green Green Red Purple Blue Orange Pink Green Red Red Purple Gray Green Yellow Yellow Red Yellow\nPink Purple Pink Pink Yellow Yellow Purple Pink Blue Brown Purple Red Green Pink Red Orange Purple Pink Gray Gray Purple Purple Pink Purple\nYellow Blue Orange Purple Orange Green Blue Orange Purple Blue Pink Orange Blue Purple Orange Pink Blue Orange Red Blue Pink Blue Orange Gray\nOrange Pink Orange Blue Green Pink Gray Gray Red Gray Yellow Purple Pink Gray Yellow Green Yellow Yellow Purple Red Orange Blue Purple Blue\nRed Red Red Yellow Brown Green Orange Yellow Green Orange Purple Orange Blue Pink Blue Red Gray Blue Red Red Gray Green Green Green\nPink Yellow Purple Gray Gray Purple Brown Red Brown Green Red Red Green Green Red Red Green Red Pink Yellow Yellow Pink Gray Purple\nPurple Blue Yellow Blue Orange Orange Blue Purple Brown Gray Red Orange Blue Green Yellow Red Pink Orange Blue Blue Orange Gray Orange Pink\nGreen Purple Yellow Pink Pink Blue Pink Green Purple Brown Blue Purple Pink Orange Red Pink Red Purple Orange Purple Purple Gray Pink Red\nPink Blue Gray Red Gray Red Green Yellow Gray Brown Purple Green Red Pink Red Yellow Gray Red Green Yellow Green Yellow Orange Purple\n\n\nExample 2\nInput:\nYellow Blue Red Black Red Blue Yellow\nGreen Pink Blue Black Blue Pink Green\nGray Red Orange Black Orange Red Gray\nBrown Blue Purple Black Purple Blue Brown\nBrown Gray Brown Black Brown Gray Brown\nBrown Purple Purple Black Purple Purple Brown\nBrown Pink Orange Black Orange Pink Brown\nBlue Orange Brown Black Brown Orange Blue\nPink Green Green Black Green Green Pink\nYellow Yellow Orange Black Orange Yellow Yellow\nYellow Blue Purple Black Purple Blue Yellow\n\nOutput:\nYellow Blue Red Black Green Orange Gray\nGreen Pink Blue Black Orange Purple Red\nGray Red Orange Black Blue Green Yellow\nBrown Blue Purple Black Pink Orange Red\nBrown Gray Brown Black Red Yellow Red\nBrown Purple Purple Black Pink Pink Red\nBrown Pink Orange Black Blue Purple Red\nBlue Orange Brown Black Red Blue Orange\nPink Green Green Black Red Red Purple\nYellow Yellow Orange Black Blue Gray Gray\nYellow Blue Purple Black Pink Orange Gray\n\n\nExample 3\nInput:\nGray Brown Yellow Black Yellow Brown Gray\nYellow Red Green Black Green Red Yellow\nBlue Orange Purple Black Purple Orange Blue\nPink Orange Gray Black Gray Orange Pink\nPink Blue Purple Black Purple Blue Pink\nYellow Orange Green Black Green Orange Yellow\nPurple Blue Blue Black Blue Blue Purple\nBrown Green Orange Black Orange Green Brown\nGray Red Yellow Black Yellow Red Gray\nPink Purple Orange Black Orange Purple Pink\nGray Pink Purple Black Purple Pink Gray\n\nOutput:\nGray Brown Yellow Black Gray Red Yellow\nYellow Red Green Black Red Green Gray\nBlue Orange Purple Black Pink Blue Orange\nPink Orange Gray Black Yellow Blue Purple\nPink Blue Purple Black Pink Orange Purple\nYellow Orange Green Black Red Blue Gray\nPurple Blue Blue Black Orange Orange Pink\nBrown Green Orange Black Blue Red Red\nGray Red Yellow Black Gray Green Yellow\nPink Purple Orange Black Blue Pink Purple\nGray Pink Purple Black Pink Purple Yellow\n\n\nHere is the input grid for the test example:\nInput:\nGray Green Pink Brown Black Brown Pink Green Gray\nGray Brown Blue Pink Black Pink Blue Brown Gray\nGray Pink Gray Pink Black Pink Gray Pink Gray\nBrown Brown Orange Pink Black Pink Orange Brown Brown\nPink Pink Purple Brown Black Brown Purple Pink Pink\nYellow Blue Orange Orange Black Orange Orange Blue Yellow\nPink Gray Blue Red Black Red Blue Gray Pink\nPink Brown Red Purple Black Purple Red Brown Pink\nOrange Blue Orange Yellow Black Yellow Orange Blue Orange\nPurple Green Gray Orange Black Orange Gray Green Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
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"content": "The output grid for the test input grid is:\n\n```\nGray Green Pink Brown Black Red Purple Red Yellow\nGray Brown Blue Pink Black Purple Orange Red Yellow\nGray Pink Gray Pink Black Purple Yellow Purple Yellow\nBrown Brown Orange Pink Black Purple Blue Red Red\nPink Pink Purple Brown Black Red Pink Purple Purple\nYellow Blue Orange Orange Black Blue Blue Orange Gray\nPink Gray Blue Red Black Green Orange Yellow Purple\nPink Brown Red Purple Black Pink Green Red Purple\nOrange Blue Orange Yellow Black Gray Blue Orange Blue\nPurple Green Gray Orange Black Blue Yellow Red Pink\n```",
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