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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 Orange Orange Orange Black\nBlack Blue Blue Blue Black Black Orange Orange Orange Black\nBlack Blue Blue Blue Black Black Black Red Red Black\nBlack Blue Blue Blue Black Blue Blue Red Red Black\nBlack Blue Blue Blue Black Blue Blue Red Red Black\nBlack Black Gray Gray Black Blue Blue Red Red Black\nBlack Black Gray Gray Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Orange Orange Orange Black\nBlack Blue Blue Blue Black Black Orange Orange Orange Black\nBlack Blue Blue Blue Black Black Black Orange Red Black\nBlack Blue Blue Blue Black Blue Blue Orange Red Black\nBlack Blue Blue Blue Black Blue Blue Orange Red Black\nBlack Black Gray Gray Black Blue Blue Red Red Black\nBlack Black Gray Gray 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 Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Black Yellow Yellow Yellow Black Black\nBlack Gray Gray Gray Black Yellow Yellow Yellow Black Black\nBlack Gray Gray Gray Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black 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 Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Black Yellow Yellow Yellow Black Black\nBlack Gray Gray Gray Black Yellow Yellow Yellow Black Black\nBlack Gray Gray Gray Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black 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 Orange Blue Black\nBlack Black Black Black Black Black Black Blue Blue 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 Black\nGreen Green Green Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow\n\nOutput:\nGreen Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Black Orange Blue Blue Blue Black Black Black\nBlack Black Black Black Orange Blue Blue Blue Black Black Black\nBlack Black Black Black Orange Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Black Black\nYellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Black Pink Pink Black\nYellow Yellow Yellow Black Pink Pink Black\nBlack Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Black Black\nYellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Black Yellow Pink Black\nYellow Yellow Yellow Black Pink Pink Black\nBlack Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Gray Black Blue Black Black Black Gray Black Black Black Black\nBlack Gray Yellow Yellow Red Black Black Gray Black Black Black Black\nBlack Gray Green Black Black Black Black Gray Black Black Black Black\nBlack Gray Green Pink Blue Blue Blue Gray Black Black Black Black\nBlack Gray Green Green Blue Blue Blue Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray 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 Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Gray Black Black Black Blue Black Gray Black Black Black Black\nBlack Gray Black Black Red Yellow Yellow Gray Black Black Black Black\nBlack Gray Black Black Black Black Green Gray Black Black Black Black\nBlack Gray Blue Blue Blue Pink Green Gray Black Black Black Black\nBlack Gray Blue Blue Blue Green Green Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Pink Pink Green Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Yellow Pink Black Green Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Green Green Pink Pink Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Green Yellow Pink Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Green Pink Pink Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Green Black Pink Yellow Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Pink Pink Green Green Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Pink Yellow Green Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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 Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Black Yellow Red Red Pink Gray\nBlack Black Black Black Gray Yellow Pink Black Black Black Gray\nBlack Black Black Black Gray Pink Pink Black Black Black Gray\nBlack Black Black Black Gray Pink Blue Black Black Black Gray\nBlack Black Black Black Gray Pink Blue Black Black Black Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray\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 Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Pink Red Red Yellow Black Gray\nBlack Black Black Black Gray Black Black Black Pink Yellow Gray\nBlack Black Black Black Gray Black Black Black Pink Pink Gray\nBlack Black Black Black Gray Black Black Black Blue Pink Gray\nBlack Black Black Black Gray Black Black Black Blue Pink Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Blue Blue Red Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Blue Blue Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Blue Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Red Blue Blue Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Blue Blue Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Blue Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Purple Purple Purple Blue Blue Blue Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Blue Blue Blue Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Blue Blue Blue Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Red Red Red Black Black Black Brown Brown Brown Black Black Black Red Red Red\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Red Red Red Black Black Black Brown Brown Brown Black Black Black Red Red Red\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Red Red Red Black Black Black Brown Brown Brown Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nYellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Purple Purple Purple Blue Blue Blue Purple Purple Purple Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Blue Blue Blue Purple Purple Purple Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Blue Blue Blue Purple Purple Purple Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Brown Brown Brown Brown Brown Brown Red Red Red Black Black Black Brown Brown Brown Black Black Black Red Red Red\nRed Red Red Brown Brown Brown Brown Brown Brown Red Red Red Black Black Black Brown Brown Brown Black Black Black Red Red Red\nRed Red Red Brown Brown Brown Brown Brown Brown Red Red Red Black Black Black Brown Brown Brown Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Red Red Red Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Orange Orange Orange\nRed Red Red Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Red Red Red Green Green Green Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Red Red Red Green Green Green Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Red Red Red Green Green Green Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Brown\nBlack Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Brown Brown Brown Red Red Red Purple Purple Purple Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Brown Brown Brown Red Red Red Purple Purple Purple Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Brown Brown Brown Red Red Red Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Orange Orange Orange Orange Orange Orange Brown Brown Brown\nBlack Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nBlack Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Brown Brown Brown Red Red Red Purple Purple Purple Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Brown Brown Brown Red Red Red Purple Purple Purple Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Brown Brown Brown Red Red Red Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Green Green Green Black Black Black Red Red Red Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Black Black Black\nBlack Black Black Pink Pink Pink Green Green Green Black Black Black Red Red Red Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Black Black Black\nBlack Black Black Pink Pink Pink Green Green Green Black Black Black Red Red Red Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Black Black Black\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 Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red\nPurple Purple Purple Black Black Black Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nPurple Purple Purple Black Black Black Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nPurple Purple Purple Black Black Black Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nPink Pink Pink Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Green Green Green Pink Pink Pink Purple Purple Purple Red Red Red Green Green Green Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Green Green Green Pink Pink Pink Purple Purple Purple Red Red Red Green Green Green Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Green Green Green Pink Pink Pink Purple Purple Purple Red Red Red Green Green Green Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Green Green Green Black Black Black Red Red Red Red Red Red Pink Pink Pink Brown Brown Brown Black Black Black\nBlack Black Black Pink Pink Pink Green Green Green Black Black Black Red Red Red Red Red Red Pink Pink Pink Brown Brown Brown Black Black Black\nBlack Black Black Pink Pink Pink Green Green Green Black Black Black Red Red Red Red Red Red Pink Pink Pink Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red\nPurple Purple Purple Black Black Black Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nPurple Purple Purple Black Black Black Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nPurple Purple Purple Black Black Black Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nPink Pink Pink Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Green Green Green Pink Pink Pink Purple Purple Purple Red Red Red Green Green Green Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Green Green Green Pink Pink Pink Purple Purple Purple Red Red Red Green Green Green Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Green Green Green Pink Pink Pink Purple Purple Purple Red Red Red Green Green Green Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow\nOrange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Red Red Red\nOrange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Red Red Red\nOrange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Red Red Red Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Red Red Red Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Red Red Red Orange Orange Orange\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nPurple Purple Purple Green Green Green Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Green Green Green Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Green Green Green Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black 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 Black Black Black Purple Purple Purple Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue 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 Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Red Red Red\nRed Red Red Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Red Red Red\nRed Red Red Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Red Red Red\nOrange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Red Red Red\nOrange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Red Red Red\nOrange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Blue Blue Blue Red Red Red Orange Orange Orange Red Red Red Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Blue Blue Blue Red Red Red Orange Orange Orange Red Red Red Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Blue Blue Blue Red Red Red Orange Orange Orange Red Red Red Orange Orange Orange\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red\nPurple Purple Purple Green Green Green Black Black Black Black Black Black Purple Purple Purple Red Red Red Black Black Black Red Red Red Red Red Red\nPurple Purple Purple Green Green Green Black Black Black Black Black Black Purple Purple Purple Red Red Red Black Black Black Red Red Red Red Red Red\nPurple Purple Purple Green Green Green Black Black Black Black Black Black Purple Purple Purple Red Red Red Black Black Black Red Red Red Red Red Red\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black 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 Black Black Black Purple Purple Purple Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue 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 Black Black Black\nPink Pink Pink Pink Pink Pink Black Pink\nPink Black Pink Black Black Black Pink Black\nPink Black Black Black Black Pink Black Black\nBlack Black Black Pink Black Black Black Black\nPink Pink Black Black Black Pink Black Black\nPink Pink Black Black Black Black Pink Black\nBlack Black Pink Pink Black Pink Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Black Pink\nPink Black Pink Black Black Black Pink Black\nPink Black Black Black Black Pink Black Black\nBlack Black Black Pink Black Black Black Black\nPink Pink Black Black Black Pink Black Black\nPink Pink Black Black Black Black Pink Black\nBlack Black Pink Pink Black Pink Black Black\nBlack Black Pink Black Pink Black Black Black\n\n\nExample 2\nInput:\nBlack Black Yellow Black Black Black Black\nYellow Black Black Black Black Yellow Yellow\nYellow Black Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Yellow\nBlack Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Black Black\n\nOutput:\nYellow Black Black Black Black Yellow Yellow\nYellow Black Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Yellow\nBlack Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black\n\nOutput:\nBlack Black Brown Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown 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:\nPink Black Pink Black Black Black Black Black Black\nPink Pink Black Black Black Black Pink Black Black\nBlack Black Pink Pink Black Pink Black Black Pink\nPink Black Black Pink Pink Black Black Black Black\nPink Black Pink Pink Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Pink Pink Black\nBlack Pink Black Pink Black Black Black Black Black\nBlack Black Black Pink Black Black Black Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Black Black Black Black Pink Black Black\nBlack Black Pink Pink Black Pink Black Black Pink\nPink Black Black Pink Pink Black Black Black Black\nPink Black Pink Pink Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Pink Pink Black\nBlack Pink Black Pink Black Black Black Black Black\nBlack Black Black Pink Black Black Black Pink Black\nPink Black Pink Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Yellow Black Yellow Black Yellow Black\nYellow Black Yellow Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Black Yellow\nBlack Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Black Black Black Yellow Black\nYellow Black Black Yellow Yellow Black Yellow Yellow\nBlack Yellow Black Black Yellow Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Black\nYellow Black Yellow Black Yellow Yellow Yellow Black\nBlack Black Yellow Black Yellow Black Yellow Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBrown Black Black Black Black Black Brown\nBlack Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black\nBlack Brown Black Black Black Brown Black\nBlack Black Black Black Black Black Brown\n\n\nExample 3\nInput:\nBlack Gray Black Black Black Gray\nGray Black Black Gray Gray Gray\nBlack Black Black Black Black Gray\nBlack Black Black Black Black Black\nBlack Black Black Black Black Gray\nBlack Black Black Black Black Black\n\nOutput:\nGray Gray Black Black Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Black Black Black Black Gray\nBlack Black Black Black Black Gray\nGray Black Black Gray Gray Gray\nBlack Gray Black Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nBrown Black Black Brown\nBlack Brown Brown Black\nBlack Black Black Brown\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 Black Black Brown\nBlack Brown Brown Brown\nBrown Brown Brown Brown\nBrown Black 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:\nOrange Black Black Black Black Black Black Black Black Black\nPink Gray Gray Gray Gray Gray Gray Gray Black Black\nYellow Gray Gray Gray Gray Gray Gray Gray Black Black\nRed Gray Gray Gray Gray Gray Gray Gray Black Black\nGreen Gray Gray Gray Gray Gray Gray Gray Black Black\nBrown Gray Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlue Gray Gray Gray Gray Gray Gray Gray Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Black Black Black\nPink Pink Pink Pink Pink Pink Pink Gray Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Black Black\nRed Red Red Red Red Red Red Gray Black Black\nGreen Green Green Green Green Green Green Gray Black Black\nBrown Brown Brown Brown Brown Brown Brown Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlue Blue Blue Blue Blue Blue Blue Gray Black Black\n\n\nExample 2\nInput:\nPink Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black\nRed Gray Gray Gray Gray Black Black Black Black\nPurple Gray Gray Gray Gray Black Black Black Black\nGreen Gray Gray Gray Gray Black Black Black Black\nOrange Gray Gray Gray Gray Black Black Black Black\nBlue Gray Gray Gray Gray Black Black Black Black\nBrown Gray Gray Gray Gray Black Black Black Black\nYellow Gray Gray Gray Gray Black Black Black Black\n\nOutput:\nPink Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black\nRed Gray Gray Gray Gray Black Black Black Black\nPurple Gray Gray Gray Gray Black Black Black Black\nGreen Green Green Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nYellow Black Gray Black Black Black Black Black Black Black Black\nRed Black Gray Black Black Black Black Black Black Black Black\nGray Black Gray Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Black Gray Black Black Black Black Black Black Black Black\nRed Black Gray Black Black Black Black Black Black Black Black\nGray Black Brown Brown Brown Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nOrange Black Black Black Black\nBlue Gray Black Black Black\nRed Black Black Black Black\nGreen Black Black Black Black\nBrown Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Black Black Black Black\nBlue Brown Black Black Black\nRed Black Black Black Black\nGreen Black Black Black Black\nBrown 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 Yellow Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nYellow 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 Yellow Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\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\nBlue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlue Black Black Black Black Black Black\nBlack Black Yellow 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 Yellow Black Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Blue 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 Yellow Black Black Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black\nBlack Black Blue 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 Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Yellow 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 Yellow\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nGreen Green Red Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Green Green Green Green Black Black Green Green Blue Blue Black Black Black Black\nGreen Green Red Red Green Green Green Green Black Black Green Green Blue Blue Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Blue Blue Black Black Blue Blue Red Red Green Green Blue Blue Red Red\nGreen Green Black Black Blue Blue Black Black Blue Blue Red Red Green Green Blue Blue Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Green Green Green Green Red Red\nBlack Black Black Black Green Green Black Black Black Black Black Black Green Green Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Green Green Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Black Black Green Green Black Black Black Black Black Black Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Blue Blue Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Red Red Black Black Blue Blue Red Red Blue Blue Black Black\nRed Red Black Black Black Black Red Red Black Black Blue Blue Red Red Blue Blue Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Purple Black\nBlack Black Black Gray Gray Gray Gray Gray Purple Black\nBlack Black Black Gray Gray Gray Gray Gray Purple Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Purple 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 Blue Blue Blue Blue Blue Gray Black Black\nBlack Black Blue Blue Blue Blue Blue Gray Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Purple Black\nBlack Black Blue Blue Blue Blue Blue Blue Purple Black\nBlack Black Blue Blue Blue Blue Blue Blue Purple Black\nBlack Black Black Blue Blue Blue Blue Blue Purple Black\nBlack Black Black Blue Blue Blue Blue Blue Purple 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 Green Green Green Green Green Black\nBlack Red Red Red Red Green Green Green Green Black\nBlack Red Red Red Red Green Green Green Green Black\nBlack Red Red Red Red Green Green Green Green Black\nBlack Red Red Red Red Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Black\nBlue Blue Blue Blue Blue Blue Blue Blue Green Black\nBlue Blue Blue Blue Blue Blue Blue Blue Green Black\nBlack Red Red Red Red Green Green Green Green Black\nBlack Red Red Red Red Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Gray Gray Gray\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Pink Pink Blue Blue Blue\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Blue\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Pink\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Pink\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Pink\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Red Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Green Black Black\nBlack Black Black Black Blue Blue Green Green Black Black\nBlack Black Black Black Black Blue Black Red Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Pink Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange 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 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black 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 Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Black Gray Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Pink Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Black Pink Pink Pink 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\nDirectly provide the output grids corresponding to the given test input grids, based 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 Pink Black Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Green Green Green Black Black Black Black Green Green Black Black Green Black Green Green\nBlack Black Green Black Black Black Green Black Green Black Green Black Black Black Green Black Black\nBlack Green Black Black Black Green Black Black Black Green Black Black Black Black Black Black Green\nGreen Black Green Black Black Black Black Black Green Black Black Green Green Black Green Black Green\nGreen Black Green Green Green Black Black Green Black Black Green Green Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Green Green Black Black Black Black Green\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Green Black Green Black Black Black Green Black Black Black Black Green Green\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Green Green Green Black Black Green Black Green Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Green Green Green Black Black Black Black Green Green Black Black Green Black Green Green\nBlack Black Green Black Black Black Green Black Green Black Green Black Black Black Green Black Black\nBlack Green Black Black Black Green Black Black Black Green Black Black Black Black Black Black Green\nGreen Black Yellow Black Black Black Black Black Green Black Black Green Green Black Green Black Green\nGreen Black Yellow Yellow Yellow Black Black Green Black Black Green Green Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Green Green Black Black Black Black Green\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Green Black Green Black Black Black Green Black Black Black Black Green Green\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Green Green Green Black Black Green Black Green Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Green Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Green Black Black Green Black Black Black Black Black Black Green\nBlack Black Black Green Green Black Black Black Green Black Black Black Green Black Black\nBlack Green Black Black Black Black Black Green Black Black Green Black Black Black Green\nBlack Green Black Green Green Black Green Black Black Green Green Black Black Black Black\nBlack Green Green Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Green Black Black Green Black\nGreen Black Black Green Black Black Black Black Green Black Black Black Black Black Green\nBlack Green Black Black Black Black Black Black Green Black Black Black Black Green Black\nGreen Black Green Black Black Green Black Green Green Black Black Black Black Black Green\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Green Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Green Black Black Green Black Black Black Black Black Black Green\nBlack Black Black Green Green Black Black Black Green Black Black Black Green Black Black\nBlack Green Black Black Black Black Black Green Black Black Green Black Black Black Green\nBlack Green Black Green Green Black Green Black Black Green Green Black Black Black Black\nBlack Green Green Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Green Black Black Green Black\nGreen Black Black Green Black Black Black Black Yellow Black Black Black Black Black Green\nBlack Green Black Black Black Black Black Black Yellow Black Black Black Black Green Black\nGreen Black Green Black Black Green Black Yellow Yellow Black Black Black Black Black Green\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Green Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Green Green Black Black Green Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Green Black Black Black Black Green Black Green\nBlack Green Black Green Black Black Black Green Black Green Black Black Green Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Green Green Black Black Green Black Black Black Black Black Green Black Black Black\nBlack Green Black Black Green Green Black Black Green Black Black Green Black Black Black Black\nGreen Black Black Black Black Green Green Green Green Black Black Black Black Green Black Black\nGreen Black Black Black Black Black Green Green Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Green Black Black Green Black Green Green Black Black\nGreen Black Black Green Black Green Black Black Black Black Black Green Black Black Black Green\nBlack Black Green Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Green Black Green Green Green Black Green\n\nOutput:\nBlack Black Black Black Black Black Green Green Black Black Green Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Green Black Black Black Black Green Black Green\nBlack Green Black Green Black Black Black Green Black Green Black Black Green Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Green Green Black Black Green Black Black Black Black Black Green Black Black Black\nBlack Green Black Black Yellow Yellow Black Black Yellow Black Black Green Black Black Black Black\nGreen Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Green Black Black\nGreen Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Yellow Black Black Green Black Green Green Black Black\nGreen Black Black Green Black Green Black Black Black Black Black Green Black Black Black Green\nBlack Black Green Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Green Black Green Green Green Black Green\n\n\nHere is the input grid for the test example:\nInput:\nGreen Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Green Black Black Green\nBlack Black Black Green Green Black Green Black Black Black Black Black Black Green\nBlack Black Black Black Black Green Black Green Black Black Green Black Black Black\nBlack Black Green Green Green Black Green Black Black Black Green Black Black Black\nGreen Black Green Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Green Black Black Black Green Black\nBlack Green Black Black Black Green Black Black Green Black Black Black Black Black\nBlack Black Green Black Black Black Green Black Green Green Black Green Black Green\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Green\nBlack Green Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Green Black Green Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Green Black Black Green\nBlack Black Black Green Green Black Green Black Black Black Black Black Black Green\nBlack Black Black Black Black Green Black Green Black Black Green Black Black Black\nBlack Black Green Green Green Black Green Black Black Black Green Black Black Black\nGreen Black Green Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Green Black Black Black Green Black\nBlack Green Black Black Black Yellow Black Black Green Black Black Black Black Black\nBlack Black Green Black Black Black Green Black Green Green Black Green Black Green\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Green\nBlack Green Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Green Black Green Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Green Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Pink Pink Pink Pink Pink\nPurple Purple Black Black Black Black Black Black Pink Pink Pink Pink Pink\nPurple Purple Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black 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\nPink Pink Black Black Black Black Black Black Black Black Black Black Black\nPink 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\nBlack Black 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 Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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\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 Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown 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 Brown Brown Brown Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black 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\nBlack Green Green Orange Orange Black\nBlack Gray Pink Orange Brown Black\nBlack Yellow Pink Brown Purple Black\nBlack Yellow Purple Orange Pink Black\nBlack Black Black Black Black Black\n\nOutput:\nGreen Orange Orange Orange Orange Orange\nGreen Green Green Orange Orange Orange\nGreen Gray Pink Orange Brown Orange\nGreen Yellow Pink Brown Purple Orange\nGreen Yellow Purple Orange Pink Orange\nBlack Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Brown Pink Orange Blue Orange Black\nBlack Gray Brown Brown Purple Purple Black\nBlack Orange Brown Blue Purple Brown Black\nBlack Green Pink Blue Gray Red Black\nBlack Pink Orange Yellow Blue Red Black\nBlack Black Black Black Black Black Black\n\nOutput:\nGray Blue Blue Blue Blue Blue Blue\nGray Brown Pink Orange Blue Orange Purple\nGray Gray Brown Brown Purple Purple Purple\nGray Orange Brown Blue Purple Brown Purple\nGray Green Pink Blue Gray Red Purple\nGray Pink Orange Yellow Blue Red Purple\nBlack Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Blue Blue Brown Green Orange Black\nBlack Purple Yellow Orange Green Purple Black\nBlack Pink Orange Gray Pink Blue Black\nBlack Red Green Blue Orange Purple Black\nBlack Orange Gray Brown Yellow Yellow Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPurple Green Green Green Green Green Green\nPurple Blue Blue Brown Green Orange Purple\nPurple Purple Yellow Orange Green Purple Purple\nPurple Pink Orange Gray Pink Blue Purple\nPurple Red Green Blue Orange Purple Purple\nPurple Orange Gray Brown Yellow Yellow Purple\nBlack Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Gray Brown Blue Black\nBlack Green Pink Brown Black\nBlack Gray Pink Gray Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Blue Blue Blue Blue\nGray Gray Brown Blue Blue\nGray Green Pink Brown Blue\nGray Gray Pink Gray Blue\nBlack Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Black Black Gray Gray Black Black Black Black Black Black Black Black Purple Purple\nPink Pink Pink Pink Pink Pink Black Black Gray Gray Black Black Black Black Black Black Black Black Purple Purple\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\n\nOutput:\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\n\n\nExample 2\nInput:\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\n\nOutput:\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\n\n\nExample 3\nInput:\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\n\nOutput:\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Orange Orange Orange 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 Pink Black Black Black Black Blue Blue Black Black Orange Orange Green Green Brown Brown Black Black Black Black Yellow Yellow\nPink Pink Black Black Black Black Blue Blue Black Black Orange Orange Green Green Brown Brown Black Black Black Black Yellow Yellow\nBlack Black Gray Gray Pink Pink Brown Brown Gray Gray Orange Orange Red Red Black Black Yellow Yellow Black Black Black Black\nBlack Black Gray Gray Pink Pink Brown Brown Gray Gray Orange Orange Red Red Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Gray Gray Black Black Black Black Gray Gray Black Black Brown Brown\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Gray Gray Black Black Black Black Gray Gray Black Black Brown Brown\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Purple Purple\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Purple Purple\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Gray Gray Purple Purple\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Gray Gray Purple Purple\nBlack Black Gray Gray Purple Purple Black Black Black Black Black Black Black Black Green Green Orange Orange Black Black Black Black\nBlack Black Gray Gray Purple Purple Black Black Black Black Black Black Black Black Green Green Orange Orange Black Black Black Black\nOrange Orange Black Black Brown Brown Gray Gray Brown Brown Blue Blue Black Black Orange Orange Black Black Black Black Pink Pink\nOrange Orange Black Black Brown Brown Gray Gray Brown Brown Blue Blue Black Black Orange Orange Black Black Black Black Pink Pink\n\nOutput:\nYellow Yellow Black Black Black Black Orange Orange Black Black Blue Blue Red Red Gray Gray Black Black Black Black Pink Pink\nYellow Yellow Black Black Black Black Orange Orange Black Black Blue Blue Red Red Gray Gray Black Black Black Black Pink Pink\nBlack Black Brown Brown Yellow Yellow Gray Gray Brown Brown Blue Blue Green Green Black Black Pink Pink Black Black Black Black\nBlack Black Brown Brown Yellow Yellow Gray Gray Brown Brown Blue Blue Green Green Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Pink Pink Black Black Brown Brown Black Black Black Black Brown Brown Black Black Gray Gray\nBlack Black Pink Pink Black Black Pink Pink Black Black Brown Brown Black Black Black Black Brown Brown Black Black Gray Gray\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Yellow Yellow\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow\nBlack Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlack Black Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black\nBlue Blue Black Black Gray Gray Brown Brown Gray Gray Orange Orange Black Black Blue Blue Black Black Black Black Yellow Yellow\nBlue Blue Black Black Gray Gray Brown Brown Gray Gray Orange Orange Black Black Blue Blue Black Black Black Black Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Brown Brown Black Black Green Green Red Red Black Black Gray Gray Black Black Black Black\nBlack Black Brown Brown Black Black Green Green Red Red Black Black Gray Gray Black Black Black Black\nBlack Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Purple Purple Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Green Green\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Green Green Gray Gray\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Green Green Gray Gray\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Yellow Yellow Black Black Brown Brown Green Green Black Black\nGreen Green Black Black Black Black Black Black Yellow Yellow Black Black Brown Brown Green Green Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Purple Purple Blue Blue Black Black Red Red Red Red Black Black Red Red\nBlack Black Black Black Purple Purple Blue Blue Black Black Red Red Red Red Black Black Red Red\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Red Red\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Red Gray Gray Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Gray Gray Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Red Red\n\nOutput:\nBlack Black Gray Gray Black Black Red Red Green Green Black Black Brown Brown Black Black Black Black\nBlack Black Gray Gray Black Black Red Red Green Green Black Black Brown Brown Black Black Black Black\nBlack Black Pink Pink Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Pink Pink Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Yellow Yellow Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Red Red\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Pink Pink Black Black Gray Gray Red Red Black Black\nRed Red Black Black Black Black Black Black Pink Pink Black Black Gray Gray Red Red Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Yellow Yellow Orange Orange Black Black Green Green Green Green Black Black Green Green\nBlack Black Black Black Yellow Yellow Orange Orange Black Black Green Green Green Green Black Black Green Green\nOrange Orange Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Green Green\nOrange Orange Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Green Green Brown Brown Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Brown Brown Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Green Green\n\n\nExample 3\nInput:\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Pink Pink\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Yellow Yellow Yellow Yellow Red Red Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Red Red Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Red Red Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nPink Pink Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Pink Pink Red Red Black Black Pink Pink\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Pink Pink Red Red Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Orange Orange\nYellow Yellow Black Black Black Black Green Green Black Black Orange Orange Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Green Green Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow\nBlack Black Black Black Pink Pink Pink Pink Green Green Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Green Green Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Green Green Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Yellow Yellow Green Green Black Black Yellow Yellow\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Yellow Yellow Green Green Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nPink Pink Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Brown Brown Black Black Black Black Black Black Black Black\nYellow Yellow Brown Brown Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Pink Pink Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Pink Pink Yellow Yellow Black Black\nBlack Black Black Black Black Black Green Green Yellow Yellow Black Black\nBlack Black Black Black Black Black Green Green Yellow Yellow Black Black\nBlue Blue Black Black Brown Brown Black Black Blue Blue Black Black\nBlue Blue Black Black Brown Brown Black Black Blue Blue Black Black\nPink Pink Black Black Green Green Pink Pink Gray Gray Black Black\nPink Pink Black Black Green Green Pink Pink Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nPurple Purple Purple Purple Black Black Gray Gray Blue Blue Orange Orange\nPurple Purple Purple Purple Black Black Gray Gray Blue Blue Orange Orange\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Yellow Yellow Blue Blue Black Black Brown Brown\nBlack Black Green Green Yellow Yellow Blue Blue Black Black Brown Brown\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Blue Blue Brown Brown Black Black Black Black Black Black\nBlack Black Blue Blue Brown Brown Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Gray Gray\nBlack Black Orange Orange Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Gray Gray Black Black Black Black Black Black Black Black\nPink Pink Gray Gray Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Yellow Yellow Pink Pink Black Black\nPink Pink Black Black Black Black Yellow Yellow Pink Pink Black Black\nBlack Black Black Black Black Black Red Red Pink Pink Black Black\nBlack Black Black Black Black Black Red Red Pink Pink Black Black\nOrange Orange Black Black Gray Gray Black Black Orange Orange Black Black\nOrange Orange Black Black Gray Gray Black Black Orange Orange Black Black\nYellow Yellow Black Black Red Red Yellow Yellow Brown Brown Black Black\nYellow Yellow Black Black Red Red Yellow Yellow Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nYellow Yellow Yellow Yellow Black Black Brown Brown Orange Orange Blue Blue\nYellow Yellow Yellow Yellow Black Black Brown Brown Orange Orange Blue Blue\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Pink Pink Orange Orange Black Black Gray Gray\nBlack Black Red Red Pink Pink Orange Orange Black Black Gray Gray\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 Orange Orange Gray Gray Black Black Black Black Black Black\nBlack Black Orange Orange Gray Gray Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Brown Brown\nBlack Black Blue Blue Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange 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 Purple 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 Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Black Orange Black Black Black Black Black Black\nBlack Black Black Black Yellow Orange Orange Black Gray Black Black Black Orange\nBlack Black Black Black Black Black Orange Black Brown Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Orange Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Orange Black Orange\nBlack Black Black Black Black Black Orange Black Black Orange Black Black Black\nBlack Black Black Black Black Black Orange Black Orange Black Black Black Orange\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black\n\nOutput:\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Orange Black\nBlack Black Black Black Orange Orange Gray Brown Gray Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Brown Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Black Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Orange Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Orange\nBlack Black Black Black Black Black Orange Orange Black Black Black Purple Black\nBlack Black Black Black Black Black Orange Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Black Orange Black Black Black Black Black Black\nBlack Black Orange Black Orange Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black 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 Brown Black Black Pink Black Blue Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Orange Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Yellow Black Orange\nBlack Black Orange Orange Orange Black Black Black Yellow Black Orange Black\nBlack Orange Orange Orange Black Black Black Yellow Brown Orange Black Black\nBlack Orange Orange Black Black Black Yellow Brown Green Black Black Black\nOrange Orange Black Black Black Yellow Brown Green Black Black Black Black\nBlack Black Black Black Yellow Brown Green Black Pink Black Black Black\nBlack Black Black Yellow Brown Green Black Pink Black Blue Black Brown\nBlack Black Yellow Black Orange Black Black Black Blue Black Brown Black\nBlack Black Black Orange Black Black Black Black Black Brown Black Black\nBlack Black Orange Black Black Black Black Black Brown Black Black Purple\nBlack Orange Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Pink Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Gray\nBlack Black Black Black Blue Black Black Orange Gray Black Gray Black\nBlack Black Gray Black Black Black Black Gray Black Gray Black Black\nBlack Black Black Black Black Black Gray Black Gray Black Black Black\nBlack Black Black Pink Black Gray Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Gray Black Black Black Black Black\nBlack Black Black Gray Black Gray Black Black Black Black Black Black\nBlack Black Gray Black Gray Gray Black Black Black Black Black Black\nBlack Gray Black Black Gray Black Black Brown Black Black Black Black\nGray Black Black Gray Green Black Black Orange Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Blue Black\n\nOutput:\nBrown Black Orange Black Black Black Black Black Black Black Black Black\nBlack Orange Black Pink Black Black Black Black Black Black Pink Black\nOrange Black Pink Black Black Black Gray Black Black Pink Purple Gray\nBlack Pink Black Black Black Gray Black Orange Pink Purple Gray Black\nBlack Black Black Black Gray Blue Orange Pink Purple Gray Black Gray\nBlack Black Black Gray Blue Orange Pink Purple Gray Black Gray Gray\nBlack Black Gray Black Orange Pink Purple Gray Black Gray Gray Green\nBlack Black Black Orange Pink Purple Gray Black Gray Gray Green Black\nBlack Black Black Pink Purple Gray Black Gray Gray Green Black Brown\nBlack Black Black Purple Gray Black Gray Gray Green Black Brown Orange\nBlack Black Purple Gray Black Gray Gray Green Black Brown Orange Black\nBlack Black Gray Black Gray Gray Green Black Brown Orange Black Black\nBlack Gray Black Black Gray Green Black Brown Orange Black Black Black\nGray Black Black Gray Green Black Pink Orange Black Black Black Black\nBlack Black Gray Black Black Pink Black Black Black Black Black Blue\nBlack Black Black Black Pink Black Black Black Black Black Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nPink Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nGray Black Black Black Pink Purple Black Black Black Pink Pink Black Black Black\nOrange Black Black Pink Black Black Black Black Black Pink Black Black Black Pink\nBlack Orange Black Green Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Brown Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Gray Pink Black Black Brown Black Black Black Black\nBlack Black Black Black Black Pink Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Black Black Black Gray Orange Black Black Pink Black Black Black Black\nPink Black Black Black Gray Orange Black Orange Pink Green Black Black Black Black\nBlack Black Black Gray Orange Black Orange Pink Green Black Black Black Black Black\nBlack Black Gray Orange Black Orange Pink Green Black Black Black Gray Pink Black\nBlack Gray Orange Black Orange Pink Green Black Black Black Gray Pink Black Black\nGray Orange Black Orange Pink Purple Black Black Brown Pink Pink Black Black Black\nOrange Black Orange Pink Purple Black Black Brown Pink Pink Black Black Black Pink\nBlack Orange Pink Purple Black Black Brown Brown Pink Black Black Black Pink Black\nBlack Pink Black Black Black Brown Pink Pink Brown Black Black Pink Black Black\nPink Black Black Black Black Pink Pink Black Yellow Brown Pink Black Black Black\nBlack Black Black Black Black Pink Black Black Yellow Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Pink Black Black Black Black Black\nBlack Black Black Pink Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink 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 Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Purple Purple Purple Purple Purple Purple Green Green Green Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Purple Purple Purple Purple Purple Purple Green Green Green Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Purple Purple Purple Purple Purple Purple Green Green Green Yellow Yellow Yellow Black Black Black\nPurple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Purple Purple Purple\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Gray Gray Gray\nGray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Gray Gray Gray\nGray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Gray Gray Gray\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Brown Brown Brown Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nYellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nRed Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Red Red Red\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Blue Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Blue Blue Blue\nBlue Blue Blue Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Blue Blue Blue\nBlue Blue Blue Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Blue Blue Blue\nBrown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nOrange Orange Orange Red Red Red Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Red Red Red Orange Orange Orange\nOrange Orange Orange Red Red Red Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Red Red Red Orange Orange Orange\nOrange Orange Orange Red Red Red Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Red Red Red Orange Orange Orange\nGreen Green Green Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Green Green Green\nGreen Green Green Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Green Green Green\nGreen Green Green Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Green Green Green\nOrange Orange Orange Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black Black Black Orange Orange Orange\nYellow Yellow Yellow Black Black Black Green Green Green Purple Purple Purple Black Black Black Purple Purple Purple Green Green Green Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Green Green Green Purple Purple Purple Black Black Black Purple Purple Purple Green Green Green Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Green Green Green Purple Purple Purple Black Black Black Purple Purple Purple Green Green Green Black Black Black Yellow Yellow Yellow\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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue\nRed Red Red Black Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Red Red Red\nRed Red Red Black Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Red Red Red\nRed Red Red Black Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Red Red Red\nGreen Green Green Orange Orange Orange Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Orange Orange Orange Green Green Green\nYellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow\nPink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink\nYellow Yellow Yellow Orange Orange Orange Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Yellow Yellow Yellow\nYellow Yellow Yellow Orange Orange Orange Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Yellow Yellow Yellow\nYellow Yellow Yellow Orange Orange Orange Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Yellow Yellow Yellow\nBrown Brown Brown Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nGreen Green Green Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nGreen Green Green Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Gray Gray Gray Black Black Black\nBlue Blue Blue Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Gray Gray Gray Black Black Black\nBlue Blue Blue Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Gray Gray Gray Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Gray Gray Orange Orange Blue Blue Brown Brown Green Green Red Red Yellow Yellow\nPurple Purple Gray Gray Orange Orange Blue Blue Brown Brown Green Green Red Red Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nPurple Purple Gray Gray Orange Orange Blue Blue Brown Brown Green Green Red Red Yellow Yellow\nPurple Purple Gray Gray Orange Orange Blue Blue Brown Brown Green Green Red Red Yellow Yellow\nGray Gray Purple Purple Gray Gray Orange Orange Blue Blue Brown Brown Green Green Purple Purple\nGray Gray Purple Purple Gray Gray Orange Orange Blue Blue Brown Brown Green Green Purple Purple\nGray Gray Purple Purple Gray Gray Orange Orange Blue Blue Brown Brown Green Green Purple Purple\nGray Gray Purple Purple Gray Gray Orange Orange Blue Blue Brown Brown Green Green Purple Purple\nGray Gray Purple Purple Gray Gray Orange Orange Blue Blue Brown Brown Green Green Purple Purple\nGray Gray Purple Purple Gray Gray Orange Orange Blue Blue Brown Brown Green Green Purple Purple\nGray Gray Purple Purple Gray Gray Orange Orange Blue Blue Brown Brown Green Green Purple Purple\nGray Gray Purple Purple Gray Gray Orange Orange Blue Blue Brown Brown Green Green Purple Purple\nGray Gray Purple Purple Gray Gray Orange Orange Blue Blue Brown Brown Green Green Purple Purple\nGray Gray Purple Purple Gray Gray Orange Orange Blue Blue Brown Brown Green Green Purple Purple\n\n\nExample 2\nInput:\nGray Gray Pink Pink Red Red Purple Purple Brown Brown Blue Blue Yellow Yellow\nGray Gray Pink Pink Red Red Purple Purple Brown Brown Blue Blue Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Pink Pink Red Red Purple Purple Brown Brown Blue Blue Yellow Yellow\nGray Gray Pink Pink Red Red Purple Purple Brown Brown Blue Blue Yellow Yellow\nGray Gray Gray Gray Pink Pink Red Red Purple Purple Brown Brown Gray Gray\nGray Gray Gray Gray Pink Pink Red Red Purple Purple Brown Brown Gray Gray\nGray Gray Gray Gray Pink Pink Red Red Purple Purple Brown Brown Gray Gray\nGray Gray Gray Gray Pink Pink Red Red Purple Purple Brown Brown Gray Gray\nGray Gray Gray Gray Pink Pink Red Red Purple Purple Brown Brown Gray Gray\nGray Gray Gray Gray Pink Pink Red Red Purple Purple Brown Brown Gray Gray\nGray Gray Gray Gray Pink Pink Red Red Purple Purple Brown Brown Gray Gray\nGray Gray Gray Gray Pink Pink Red Red Purple Purple Brown Brown Gray Gray\n\n\nExample 3\nInput:\nPurple Purple Brown Brown Pink Pink Red Red Green Green Orange Orange Yellow Yellow\nPurple Purple Brown Brown Pink Pink Red Red Green Green Orange Orange Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nPurple Purple Brown Brown Pink Pink Red Red Green Green Orange Orange Yellow Yellow\nPurple Purple Brown Brown Pink Pink Red Red Green Green Orange Orange Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Purple Purple Brown Brown Pink Pink Red Red Green Green Purple Purple\nGray Gray Purple Purple Brown Brown Pink Pink Red Red Green Green Purple Purple\nGray Gray Purple Purple Brown Brown Pink Pink Red Red Green Green Purple Purple\nGray Gray Purple Purple Brown Brown Pink Pink Red Red Green Green Purple Purple\nGray Gray Purple Purple Brown Brown Pink Pink Red Red Green Green Purple Purple\nGray Gray Purple Purple Brown Brown Pink Pink Red Red Green Green Purple Purple\nGray Gray Purple Purple Brown Brown Pink Pink Red Red Green Green Purple Purple\nGray Gray Purple Purple Brown Brown Pink Pink Red Red Green Green Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Brown Brown Blue Blue Orange Orange Green Green Purple Purple Red Red Gray Gray Pink Pink\nYellow Yellow Brown Brown Blue Blue Orange Orange Green Green Purple Purple Red Red Gray Gray Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Brown Brown Blue Blue Orange Orange Green Green Purple Purple Red Red Gray Gray Pink Pink\nYellow Yellow Brown Brown Blue Blue Orange Orange Green Green Purple Purple Red Red Gray Gray Pink Pink\nGray Gray Yellow Yellow Brown Brown Blue Blue Orange Orange Yellow Yellow Brown Brown Blue Blue Orange Orange\nGray Gray Yellow Yellow Brown Brown Blue Blue Orange Orange Yellow Yellow Brown Brown Blue Blue Orange Orange\nGray Gray Yellow Yellow Brown Brown Blue Blue Orange Orange Yellow Yellow Brown Brown Blue Blue Orange Orange\nGray Gray Yellow Yellow Brown Brown Blue Blue Orange Orange Yellow Yellow Brown Brown Blue Blue Orange Orange\nGray Gray Yellow Yellow Brown Brown Blue Blue Orange Orange Yellow Yellow Brown Brown Blue Blue Orange Orange\nGray Gray Yellow Yellow Brown Brown Blue Blue Orange Orange Yellow Yellow Brown Brown Blue Blue 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:\nRed Gray Green Yellow Orange Blue Pink Green\nRed Green Orange Pink Green Purple Red Yellow\nPurple Purple Blue Brown Brown Blue Blue Gray\nBlue Gray Pink Red Green Green Orange Pink\nBlue Green Red Red Green Gray Gray Orange\nYellow Green Blue Purple Yellow Blue Gray Brown\nGreen Green Purple Gray Red Brown Red Purple\nRed Gray Green Purple Red Brown Red Green\n\nOutput:\nBlue Gray Green Yellow Orange Blue Pink Red\nRed Red Orange Pink Green Purple Blue Yellow\nPurple Purple Green Brown Brown Green Blue Gray\nBlue Gray Pink Blue Red Green Orange Pink\nBlue Green Red Blue Red Gray Gray Orange\nYellow Green Green Purple Yellow Green Gray Brown\nGreen Red Purple Gray Red Brown Blue Purple\nBlue Gray Green Purple Red Brown Red Red\n\n\nExample 2\nInput:\nRed Brown Pink Purple Blue Red Red\nGray Green Brown Orange Red Blue Pink\nBlue Pink Blue Brown Green Gray Brown\nGreen Brown Purple Red Red Purple Green\nRed Gray Blue Red Green Pink Yellow\nPurple Green Purple Orange Purple Blue Yellow\nRed Pink Gray Brown Purple Yellow Red\n\nOutput:\nBlue Brown Pink Purple Blue Red Blue\nGray Red Brown Orange Red Green Pink\nBlue Pink Green Brown Red Gray Brown\nGreen Brown Purple Blue Red Purple Green\nRed Gray Green Red Red Pink Yellow\nPurple Red Purple Orange Purple Green Yellow\nBlue Pink Gray Brown Purple Yellow Blue\n\n\nExample 3\nInput:\nBlue Brown Yellow Brown Gray Brown Blue\nPurple Red Gray Pink Yellow Green Green\nGreen Purple Green Purple Red Blue Red\nGray Pink Pink Blue Brown Pink Brown\nGray Gray Green Orange Red Red Purple\nPink Red Brown Red Red Green Red\nBlue Blue Yellow Blue Green Pink Blue\n\nOutput:\nGreen Brown Yellow Brown Gray Brown Green\nPurple Blue Gray Pink Yellow Red Green\nGreen Purple Red Purple Blue Blue Red\nGray Pink Pink Green Brown Pink Brown\nGray Gray Red Orange Blue Red Purple\nPink Blue Brown Red Red Red Red\nGreen Blue Yellow Blue Green Pink Green\n\n\nHere is the input grid for the test example:\nInput:\nBlue Orange Pink Green Orange Green Pink Yellow Green\nPurple Red Purple Pink Purple Orange Blue Red Brown\nPink Gray Green Brown Orange Purple Blue Red Yellow\nBrown Purple Gray Blue Purple Green Blue Brown Blue\nOrange Blue Orange Orange Red Orange Gray Brown Green\nPurple Purple Red Blue Purple Green Brown Brown Red\nBlue Orange Green Yellow Green Purple Blue Red Green\nBlue Red Pink Yellow Blue Blue Yellow Red Brown\nBlue Green Yellow Blue Brown Orange Purple Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Orange Pink Green Orange Green Pink Yellow Red\nPurple Blue Purple Pink Purple Orange Blue Blue Brown\nPink Gray Red Brown Orange Purple Green Red Yellow\nBrown Purple Gray Green Purple Red Blue Brown Blue\nOrange Blue Orange Orange Blue Orange Gray Brown Green\nPurple Purple Red Green Purple Red Brown Brown Red\nBlue Orange Red Yellow Green Purple Green Red Green\nBlue Blue Pink Yellow Blue Blue Yellow Blue Brown\nGreen Green Yellow Blue Brown Orange Purple Green Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Yellow Black\nYellow Black Black Yellow Purple Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Black Yellow Black Black Black Purple Black\nBlack Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black\nPurple Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Purple\nBlack Black Black Black Blue Black Green Blue\nGreen Black Black Blue Purple Blue Black Black\nBlack Black Black Black Blue Black Black Black\nBlue Black Black Black Black Black Blue Black\nPurple Blue Green Black Black Blue Purple Blue\nBlue Black Green Black Black Black Blue Black\nBlack Black Black Black Black Black Black Green\nBlue Black Black Black Blue Black Black Black\nPurple Blue Black Blue Purple Blue Black Black\nBlue Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Yellow Black\nBlack Yellow Purple Black Purple Black Black\nYellow Black Black Purple Black Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Black\nYellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Blue Black Blue Green Black\nBlack Blue Purple Blue Purple Blue Black\nGreen Black Blue Purple Blue Black Black\nBlack Green Black Blue Black Black Black\nBlack Black Green Black Black Black Black\nGreen Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGreen Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Purple Black Black\nBlack Purple Black Black Black Yellow Black\nBlack Black Black Black Black Purple Black\nPurple Black Black Black Black Black Black\nYellow Black Black Purple Black Purple Black\nBlack Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Purple Black Yellow Black Black\nBlack Black Yellow Black Black Black Black\nPurple Black Black Black Black Black Black\n\nOutput:\nBlack Blue Black Blue Purple Blue Black\nBlue Purple Blue Black Blue Green Black\nBlue Blue Black Black Blue Purple Blue\nPurple Blue Black Blue Black Blue Black\nBlue Black Blue Purple Blue Purple Blue\nBlack Black Black Blue Purple Blue Black\nBlack Black Black Black Blue Black Black\nBlack Black Blue Green Black Black Black\nBlack Blue Purple Blue Green Black Black\nBlue Black Blue Black Black Black Black\nPurple Blue Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Purple Black Black Black\nPurple Black Black Black Black Black Black Black Purple\nBlack Black Yellow Black Black Purple Black Black Black\nBlack Black Black Black Black Yellow Black Black Yellow\nBlack Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Green Black Black Black\nBlue Black Black Black Blue Purple Blue Black Blue\nPurple Blue Black Black Black Blue Black Blue Purple\nBlue Black Green Black Blue Purple Blue Black Blue\nBlack Black Black Black Black Blue Black Black Green\nBlack Black Black Black Black Black Black Blue Purple\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black 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 Purple\nBlack Black 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 Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\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 Black Orange\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 Black Gray\nBlack 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 Gray\nBlack 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 Gray\nBlack 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 Gray\nBlack 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 Pink\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\n\n\nExample 3\nInput:\nBlack 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 Gray\nBlack 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 Gray\nBlack 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 Gray\nBlack 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 Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black 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```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Yellow Green Black Yellow Black Black Black\nBlack Yellow Green Green Black Black Black Green\nBlack Yellow Yellow Black Black Yellow Green Black\nBlack Black Green Black Yellow Black Green Black\nBlack Yellow Yellow Black Green Black Yellow Green\nGreen Yellow Black Black Black Yellow Yellow Yellow\nYellow Green Black Green Yellow Green Green Black\nGreen Green Yellow Black Yellow Green Green Black\nGreen Black Black Green Yellow Black Black Black\nGreen Black Black Green Yellow Green Black Green\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Green Green Black Yellow\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Red Yellow Yellow Black Black Black Gray\nGray Red Red Black Black Red Yellow Gray\nGray Black Yellow Black Red Black Yellow Gray\nGray Red Red Black Yellow Black Red Gray\nGray Red Black Black Black Red Red Gray\nGray Yellow Black Yellow Red Yellow Yellow Gray\nGray Yellow Red Black Red Yellow Yellow Gray\nGray Black Black Yellow Red Black Black Gray\nGray Black Black Yellow Red Yellow Black Gray\nGray Black Black Black Black Red Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Yellow Black Yellow Green Black\nBlack Black Black Black Green Black Black\nGreen Black Black Yellow Black Black Black\nYellow Black Black Green Black Green Yellow\nGreen Yellow Green Black Black Yellow Black\nBlack Black Green Black Yellow Yellow Yellow\nBlack Green Black Black Yellow Black Black\nYellow Black Green Black Black Black Black\nBlack Yellow Black Yellow Green Black Black\nBlack Black Green Green Green Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Yellow Black Gray\nGray Black Black Red Black Black Gray\nGray Black Black Yellow Black Yellow Gray\nGray Red Yellow Black Black Red Gray\nGray Black Yellow Black Red Red Gray\nGray Yellow Black Black Red Black Gray\nGray Black Yellow Black Black Black Gray\nGray Red Black Red Yellow Black Gray\nGray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Yellow\nYellow Green Green Yellow Black Black Yellow\nBlack Black Green Black Black Black Green\nBlack Black Green Yellow Black Black Black\nGreen Black Black Black Black Black Black\nBlack Yellow Black Black Black Green Black\nYellow Black Green Black Black Black Black\nGreen Green Black Black Black Green Black\nYellow Black Yellow Green Yellow Black Black\nBlack Black Yellow Green Yellow Green Green\nBlack Black Black Yellow Black Black Green\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray\nGray Yellow Yellow Red Black Black Gray\nGray Black Yellow Black Black Black Gray\nGray Black Yellow Red Black Black Gray\nGray Black Black Black Black Black Gray\nGray Red Black Black Black Yellow Gray\nGray Black Yellow Black Black Black Gray\nGray Yellow Black Black Black Yellow Gray\nGray Black Red Yellow Red Black Gray\nGray Black Red Yellow Red Yellow Gray\nGray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nYellow Green Black Green Yellow Yellow Black Yellow Yellow\nGreen Black Black Black Yellow Yellow Black Green Black\nBlack Black Yellow Green Green Yellow Yellow Yellow Yellow\nBlack Yellow Black Black Black Black Black Black Green\nGreen Black Black Black Black Green Black Black Green\nYellow Black Yellow Green Yellow Black Yellow Black Black\nBlack Black Green Green Yellow Yellow Black Black Yellow\nBlack Black Black Black Green Green Black Green Green\nGreen Yellow Black Yellow Black Yellow Black Black Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Red Red Black Yellow Gray\nGray Black Red Yellow Yellow Red Red Red Gray\nGray Red Black Black Black Black Black Black Gray\nGray Black Black Black Black Yellow Black Black Gray\nGray Black Red Yellow Red Black Red Black Gray\nGray Black Yellow Yellow Red Red Black Black Gray\nGray Black Black Black Yellow Yellow Black Yellow Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black\nOrange Orange Orange Orange Black Black Black Green Green Black\nOrange Orange Orange Orange Black Black Black Green Green Black\nOrange Orange Orange Orange Black Black Black Green Green Black\nBlack Orange Orange Orange Orange Black Black Black Black Black\nBlack Orange Orange Orange Orange Green Green Green Black Black\nBlack Orange Orange Orange Orange Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black\nGreen Green Green Green Black Black Black Purple Purple Black\nGreen Green Green Green Black Black Black Purple Purple Black\nGreen Green Green Green Black Black Black Purple Purple Black\nBlack Green Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Purple Purple Purple Black Black\nBlack Green Green Green Green Purple Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Purple Purple Purple Black\nBlack Black Orange Orange Orange Orange Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green 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 Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Purple Purple Purple\nBlack Black Black Black Green Green Green Purple Purple Purple\nBlack Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Green Green Green\nBlack Black Black Black Purple Purple Purple Green Green Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Purple Purple Black\nBlack Black Black Green Green Green Black Purple Purple Black\nBlack Black Black Green Green Green Black Purple Purple Black\nBlack Black Black Green Green Green Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Green Green Green Black Purple Purple Purple\nBlack Black Black Green Green Green Black Green Green Black\nBlack Black Black Black Black Black Black Green Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Green Green Black\nBlack Black Black Purple Purple Purple Black Green Green Black\nBlack Black Black Purple Purple Purple Black Green Green Black\nBlack Black Black Purple Purple Purple Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Purple Purple Purple Black Green Green Green\nBlack Black Black Purple Purple Purple Black Purple Purple Black\nBlack Black Black Black Black Black Black Purple Purple Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black\nPurple Purple Purple Purple Pink Pink Black Black\nPurple Purple Purple Purple Pink Pink Black Black\nBlack Black Orange Orange Black Black Black Black\nBlack Black Orange Orange Black Black Black Black\nBlack Black Green Green Green Green Gray Gray\nBlack Black Green Green Green Green Gray Gray\nBlack Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow\n\nOutput:\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Black Black Green Green Green Green Green Green\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Green Green\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Green Green\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Green Green Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Green Green Black Black Black Black Black Black Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Yellow Yellow Brown Brown\nBlack Black Black Black Black Black Yellow Yellow Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Orange Orange Black Black\nBrown Brown Brown Brown Black Black Orange Orange Black Black\nBlue Blue Yellow Yellow Black Black Purple Purple Black Black\nBlue Blue Yellow Yellow Black Black Purple Purple Black Black\nYellow Yellow Orange Orange Orange Orange Orange Orange Black Black\nYellow Yellow Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Brown Brown Green Green Black Black Black Black\nOrange Orange Brown Brown Green Green Black Black Black Black\nOrange Orange Gray Gray Black Black Black Black Black Black\nOrange Orange Gray Gray Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Black Green Green Green Green Black Black Green Green Black Black\nGreen Green Green Green Green Green Green Green Black Black Green Green Green Green Black Black Green Green Black Black\nGreen Green Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green Black Black\nGreen Green Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green Black Black\nGreen Green Green Green Black Black Green Green Black Black Green Green Green Green Green Green Green Green Black Black\nGreen Green Green Green Black Black Green Green Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Orange Orange Black Black Black Black\nYellow Yellow Yellow Yellow Orange Orange Black Black Black Black\nPurple Purple Orange Orange Orange Orange Black Black Black Black\nPurple Purple Orange Orange Orange Orange Black Black Black Black\nPurple Purple Purple Purple Orange Orange Black Black Black Black\nPurple Purple Purple Purple Orange Orange Black Black Black Black\nBrown Brown Brown Brown Pink Pink Blue Blue Purple Purple\nBrown Brown Brown Brown Pink Pink Blue Blue Purple Purple\nBlack Black Black Black Yellow Yellow Blue Blue Orange Orange\nBlack Black Black Black Yellow Yellow Blue Blue Orange Orange\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Brown Brown\nBlack Black Black Black Black Black Blue Blue Brown Brown\nBlack Black Black Black Black Black Yellow Yellow Brown Brown\nBlack Black Black Black Black Black Yellow Yellow Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Green Green\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Black Black\nBlue Blue Blue Blue Black Black\nPink Pink Pink Pink Black Black\nPink Pink Pink Pink Black Black\nBlack Black Pink Pink Green Green\nBlack Black Pink Pink Green Green\nBlack Black Black Black Purple Purple\nBlack Black Black Black Purple Purple\nBlack Black Black Black Purple Purple\nBlack Black Black Black Purple Purple\nBlack Black Pink Pink Red Red\nBlack Black Pink Pink Red Red\nBlack Black Black Black Brown Brown\nBlack Black Black Black Brown Brown\nBlack Black Black Black Pink Pink\nBlack Black Black Black Pink Pink\nBlack Black Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Black Black Green Green Green Green\nBlack Black Black Black Green Green Black Black Green Green Green Green\nBlack Black Green Green Green Green Black Black Black Black Green Green\nBlack Black Green Green Green Green Black Black Black Black Green Green\nBlack Black Black Black Green Green Black Black Black Black Green Green\nBlack Black Black Black Green Green Black Black Black Black Green Green\nBlack Black Black Black Green Green Black Black Green Green Green Green\nBlack Black Black Black Green Green Black Black Green Green Green Green\nBlack Black Green Green Green Green Black Black Black Black Green Green\nBlack Black Green Green Green Green Black Black Black Black Green Green\nGreen Green Green Green Black Black Black Black Black Black Green Green\nGreen Green Green Green Black Black Black Black Black Black Green Green\nGreen Green Green Green Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Red Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Red Black Black\nBlack Black Black Black Black Red Red Black\nBlack Black Black Black Black Red Black Black\nBlack Black Black Black Red Red Black Black\nBlack Black Black Red Red Black Black Black\nBlack Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Red Red Red Red Black\nBlack Black Red Red Black Black Black\nBlack Black Red Red Red Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow 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 Red\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black\nRed Red Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black\nRed Red Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Red Red Red Red Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Green\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Green\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Green Green Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Green Green Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Green Green\nRed Red Black Black Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Red Red Red Red Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Black Black Black Black\nRed Red Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Purple 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 Black\nBlack Purple Purple Purple Purple Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Purple Purple Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Blue Blue Blue Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Blue Blue Black Green Green Black Green Green Black Black Black Black\nBlack Black Black Blue Blue Black Green Green Green Green Green Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\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 Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black\nGreen Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black\nPurple Purple Purple Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black\nGreen Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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\nPurple Purple Purple Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black\nPink 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\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Black Black Black Black\nPurple Purple Purple Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black\nPink 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\nBlack Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Red Green Green Black Black Black Black Black Black Pink\nBlack Black Black Black Black Green Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Green Black Black Brown Pink Black Black Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Green Green Green Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack 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\nBlack Black 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 Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink 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 Red Green Green Black Black Black Black Black Black Pink\nBlack Black Black Black Black Green Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Green Black Black Brown Pink Black Brown Pink\nBlack Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Blue\nBlack Black Black Black Black Black Black Black Blue Blue Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Pink Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Orange Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Orange Orange Black Blue Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Purple Black Black Black Blue Blue Blue Black Black Black\nBlack Black Purple 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Orange Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Orange Orange Black Orange Black\nBlack Black Black Black Black Black Black Black Orange Black Orange Orange\nBlack Black Black Black Black Black Black Black Pink Black Black Orange\nBlack Black Purple Black Black Black Blue Blue Blue Black Black Pink\nBlack Black Purple Gray Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Brown\nBlack Gray Gray Black Black Black Black Black Black Black Yellow Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nOrange Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Orange Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Blue Black Black Black\nBlack Black Black Gray Gray Black Black Black Blue Blue Brown 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 Gray Brown\nBlack Gray Gray Black Black Black Black Black Black Black Yellow Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nOrange Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Orange Black Black Black Black Black Gray\nBlack Black Black Black Green Black Black Black Blue Black Black Black\nBlack Black Black Gray Gray Black Black Black Blue Blue Brown Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue Blue Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue 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 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\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Brown Black Black Black Black Black Black Black\nBlack Black Black Blue Purple Purple Orange Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Yellow Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue 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 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\nBlack Black Black Black Blue Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Gray Black Brown Gray Black Brown Black Black Black Black\nBlack Black Black Blue Purple Purple Blue Purple Purple Orange Black Black Black Black\nBlack Black Black Purple Purple Yellow Purple Purple 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 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:\nRed Blue Green\nBlack Yellow Black\nOrange Orange Purple\n\nOutput:\nYellow Yellow Yellow Yellow Yellow\nYellow Red Blue Green Yellow\nYellow Black Yellow Black Yellow\nYellow Orange Orange Purple Yellow\nYellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlue Gray Brown\nBlack Green Black\nRed Red Purple\n\nOutput:\nGreen Green Green Green Green\nGreen Blue Gray Brown Green\nGreen Black Green Black Green\nGreen Red Red Purple Green\nGreen Green Green Green Green\n\n\nExample 3\nInput:\nOrange Yellow Brown\nBlack Green Black\nGray Gray Red\n\nOutput:\nGreen Green Green Green Green\nGreen Orange Yellow Brown Green\nGreen Black Green Black Green\nGreen Gray Gray Red Green\nGreen Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGreen Blue Yellow\nBlack Gray Black\nPurple Purple Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray\nGray Green Blue Yellow Gray\nGray Black Gray Black Gray\nGray Purple Purple Orange Gray\nGray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black 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 Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\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 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\nBlack Black Black Black Black Black 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 Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Gray Gray Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Gray Gray Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Blue Blue\nBrown Brown Black Black Green Green Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBrown Brown Black Black Green Green Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed 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\nRed 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\nRed 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\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Green Green Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Green Green Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Green Green\nGreen Green Red Red Red Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red\nGreen Green Red Red Red Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red\nRed Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Green Green 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\nRed 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\nRed 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 Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nRed Red Red Red Red Red Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Yellow Yellow 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\nRed 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\nRed 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 Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Green Green Green Green Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Green Green Green Green 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 Green Green Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Green Green Red Red\nRed 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\nRed Red Red Red Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Yellow Yellow 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\nRed Red Red Red Red 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Brown Brown Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Brown Brown Red Red\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Green Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Red Red Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Red Red Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green 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\nRed 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\nRed 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\nRed 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\nRed 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 Yellow Yellow Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Red Red\nRed Red Red Red Red Red Red Red Red Red Yellow Yellow Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Yellow Yellow 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\nRed 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\nRed 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\nRed 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\nRed Red Red Red Red Red Red 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 Green Green Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Green Green Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Green Green Black Black Black Black Green Green\nBlack Black Black Black Red Red Black Black Black Black Black Black Green Green Black Black Black Black Blue Blue\nBlack Black Black Black Red Red Black Black Black Black Black Black Green Green Black Black Black Black Blue Blue\nRed Red Black Black Black Black Blue Blue Black Black Black Black Orange Orange Black Black Black Black Black Black\nRed Red Black Black Black Black Blue Blue Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Green Green Black Black Blue Blue Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Green Green Black Black Blue Blue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed 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\nRed Red Red Red Red Red Red Red Yellow Yellow Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Yellow Yellow Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Blue Blue Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Blue Blue 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\nRed 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 Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Blue Blue 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\nRed 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 Blue Blue Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Red Red Red Red\nRed 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\nRed Red Red Red Red Red Red Red Red Red Red Red Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Blue Blue 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\nRed 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:\nRed Red 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\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Pink Pink\nBlack Black Black Black Black Black Purple Purple Pink Pink\nBlack Black Black Black Black Black Purple Purple Pink Pink\nBlack Black Black Black Black Black Purple Purple Pink Pink\nBlack Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black\nRed Red Gray Gray Gray Gray Gray Gray Black Black\nRed Red Gray Gray Gray Gray Gray Gray Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Blue Purple Purple Black Black\nBlack Black Black Black Blue Blue Purple Purple Black Black\nBrown Brown Brown Brown Blue Blue Gray Gray Yellow Yellow\nBrown Brown Brown Brown Blue Blue Gray Gray Yellow Yellow\nBrown Brown Blue Blue Gray Gray Gray Gray Red Red\nBrown Brown Blue Blue Gray Gray Gray Gray Red Red\nBrown Brown Blue Blue Gray Gray Gray Gray Red Red\nBrown Brown Blue Blue Gray Gray Gray Gray Red Red\nBrown Brown Brown Brown Blue Blue Gray Gray Yellow Yellow\nBrown Brown Brown Brown Blue Blue Gray Gray Yellow Yellow\nBlack Black Black Black Blue Blue Purple Purple Black Black\nBlack Black Black Black Blue Blue Purple Purple Black Black\n\nOutput:\nBlack Black Yellow Yellow Red Red Red Red Yellow Yellow Black Black\nBlack Black Yellow Yellow Red Red Red Red Yellow Yellow Black Black\nPurple Purple Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple\nPurple Purple Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple\nBlue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue\nBlue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue\nBlack Black Brown Brown Blue Blue Blue Blue Brown Brown Black Black\nBlack Black Brown Brown Blue Blue Blue Blue Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Orange Orange Black Black Black Black\nPink Pink Pink Pink Pink Pink Orange Orange Black Black Black Black\nPink Pink Brown Brown Gray Gray Gray Gray Brown Brown Purple Purple\nPink Pink Brown Brown Gray Gray Gray Gray Brown Brown Purple Purple\nBlack Black Purple Purple Black Black Blue Blue Green Green Blue Blue\nBlack Black Purple Purple Black Black Blue Blue Green Green Blue Blue\nRed Red Red Red Black Black Black Black Purple Purple Purple Purple\nRed Red Red Red Black Black Black Black Purple Purple Purple Purple\nRed Red Red Red Green Green Black Black Black Black Black Black\nRed Red Red Red Green Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Purple Purple Blue Blue Purple Purple Black Black Black Black\nBlack Black Purple Purple Blue Blue Purple Purple Black Black Black Black\nBlack Black Brown Brown Green Green Purple Purple Black Black Black Black\nBlack Black Brown Brown Green Green Purple Purple Black Black Black Black\nOrange Orange Gray Gray Blue Blue Black Black Black Black Black Black\nOrange Orange Gray Gray Blue Blue Black Black Black Black Black Black\nPink Pink Gray Gray Black Black Black Black Green Green Black Black\nPink Pink Gray Gray Black Black Black Black Green Green Black Black\nPink Pink Brown Brown Purple Purple Red Red Red Red Red Red\nPink Pink Brown Brown Purple Purple Red Red Red Red Red Red\nPink Pink Pink Pink Black Black Red Red Red Red Black Black\nPink Pink Pink Pink Black Black Red Red Red Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Brown Brown Blue Blue Purple Purple\nPink Pink Brown Brown Blue Blue Purple Purple\nBlack Black Gray Gray Blue Blue Purple Purple\nBlack Black Gray Gray Blue Blue Purple Purple\nBlack Black Gray Gray Blue Blue Purple Purple\nBlack Black Gray Gray Blue Blue Purple Purple\nPink Pink Brown Brown Blue Blue Purple Purple\nPink Pink Brown Brown Blue Blue Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Gray Gray Gray Gray Brown Brown\nBrown Brown Gray Gray Gray Gray Brown Brown\nPink Pink Black Black Black Black Pink Pink\nPink Pink Black Black Black Black 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:\nGray Gray Gray Gray Gray Gray Gray\nGray Red Red Red Black Black Gray\nGray Red Red Red Red Red Gray\nGray Black Black Black Black Red Gray\nGray Black Black Red Red Red Gray\nGray Black Black Red Red Red Gray\nGray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Gray Gray Gray\nBlack Black Black Black Gray Gray Gray\nBlack Black Black Black Gray Gray Gray\nBlack Black Black Black Gray Gray Gray\n\n\nExample 2\nInput:\nPink Pink Pink Pink Pink\nPink Green Green Green Pink\nPink Black Black Green Pink\nPink Green Green Green Pink\nPink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink\nBlack Black Black Black Pink\nPink Pink Pink Pink Pink\nBlack Black Black Black Pink\nPink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple\nPurple Black Black Purple Purple\nPurple Black Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\n\nOutput:\nBlack Black Black Black Purple\nBlack Purple Black Purple Purple\nPurple Purple Purple Purple Purple\nBlack Purple Black Purple Purple\nPurple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red\nRed Brown Black Black Black Red\nRed Brown Brown Black Black Red\nRed Brown Brown Brown Black Red\nRed Brown Brown Brown Brown Red\nRed Red Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Red Black Black Black\nRed Red Red Red Black Black\nRed Red Red Red Red Black\nRed Red Red Red Red Red\nRed Red Red Red Red Black\nRed 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:\nBlue Gray Blue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue Gray Blue\n\nOutput:\nBlue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue\n\n\nExample 2\nInput:\nPink Gray Pink Gray Pink Gray\nGray Pink Gray Pink Gray Pink\nPink Gray Pink Gray Pink Gray\nGray Pink Gray Pink Gray Pink\nPink Gray Pink Gray Pink Gray\nGray Pink Gray Pink Gray Pink\nPink Gray Pink Gray Pink Gray\nGray Pink Gray Pink Gray Pink\nPink Gray Pink Gray Pink Gray\n\nOutput:\nPink Gray Pink Gray Pink Gray Pink Gray Pink\nGray Pink Gray Pink Gray Pink Gray Pink Gray\nPink Gray Pink Gray Pink Gray Pink Gray Pink\nGray Pink Gray Pink Gray Pink Gray Pink Gray\nPink Gray Pink Gray Pink Gray Pink Gray Pink\nGray Pink Gray Pink Gray Pink Gray Pink Gray\n\n\nExample 3\nInput:\nPink Blue Pink Blue Pink Blue\nBlue Pink Blue Pink Blue Pink\nPink Blue Pink Blue Pink Blue\nBlue Pink Blue Pink Blue Pink\nPink Blue Pink Blue Pink Blue\nBlue Pink Blue Pink Blue Pink\nPink Blue Pink Blue Pink Blue\nBlue Pink Blue Pink Blue Pink\n\nOutput:\nBlue Pink Blue Pink Blue Pink Blue Pink\nPink Blue Pink Blue Pink Blue Pink Blue\nBlue Pink Blue Pink Blue Pink Blue Pink\nPink Blue Pink Blue Pink Blue Pink Blue\nBlue Pink Blue Pink Blue Pink Blue Pink\nPink Blue Pink Blue Pink Blue Pink Blue\n\n\nHere is the input grid for the test example:\nInput:\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown 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 Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green 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\nDirectly provide the output grids corresponding to the given test input grids, based 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Green Black Black Black\nBlack Black Green Black Black Black\nBlack Black Green Black Brown Brown\nBlack Black Red Red Brown Black\n\nOutput:\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Brown Brown\nBlack Black Black Black Black Black Black Black Red Red Brown Black\n\n\nExample 2\nInput:\nPurple Blue Black Black\nYellow Gray Brown Brown\nRed Gray Gray Black\nYellow Gray Brown Brown\nPurple Blue Black Black\n\nOutput:\nBlack Black Black Black Purple Blue Black Black\nBlack Black Black Black Yellow Gray Brown Brown\nBlack Black Black Black Red Gray Gray Black\nBlack Black Black Black Yellow Gray Brown Brown\nBlack Black Black Black Purple Blue Blue Purple\n\n\nExample 3\nInput:\nBlack Black Black Red Black\nBlack Black Green Red Red\nBlack Yellow Black Red Red\nBlue Orange Black Brown Pink\nBlack Orange Pink Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Green Red Red\nBlack Black Black Black Black Black Yellow Black Red Red\nBlack Black Black Black Black Blue Orange Black Brown Pink\nBlack Black Black Black Black Black Orange Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nGreen Orange Brown\nBlack Green Green\nGreen Orange Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Green Orange Brown\nBlack Black Black Black Green Green\nBlack Black Black Green Orange 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:\nBlue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Blue\n\nOutput:\nYellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow\n\n\nExample 2\nInput:\nBlue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Black Black Blue Black Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Black Black Blue\n\nOutput:\nYellow Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Yellow\n\n\nExample 3\nInput:\nBlue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Blue\n\nOutput:\nYellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue 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 Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black\nBlack 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 Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow 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\nGreen Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray 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 Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow 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:\nRed Red Red Red Red Black Black Black Black\nRed Red Red Red Red Black Black Black Black\nRed Red Red Red Red Black Black Black Black\nRed Red Red Red Red Black Black Black Black\nRed Red Red Red Red Black Black Black Black\nRed Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow 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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow 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 Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Purple Purple Purple Purple Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red 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 Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red 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\nBlack Black Black Black 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 Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nBlue Blue\nBlue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink\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 Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black Black\n\nOutput:\nBlack Black Black Pink Pink Pink Green Green Green Green Green Green Black Black Black\nBlack Black Black Pink Pink Pink Green Green Green Green Green Green Black Black Black\nBlack Black Black Pink Pink Pink Green Green Green Green Green Green Black Black Black\nPink Pink Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green\nPink Pink Pink Purple Purple Purple Green Green Green Black Black Black Black Black Black\nPink Pink Pink Purple Purple Purple Green Green Green Black Black Black Black Black Black\nPink Pink Pink Purple Purple Purple Green Green Green Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green\nBlack Black Black Pink Pink Pink Green Green Green Green Green Green Black Black Black\nBlack Black Black Pink Pink Pink Green Green Green Green Green Green Black Black Black\nBlack Black Black Pink Pink Pink Green Green Green Green Green Green Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Black Black Black Pink Pink Pink Gray Gray Gray Black Black Black\nRed Red Red Gray Gray Gray Pink Pink Pink Orange Orange Orange Pink Pink Pink Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Pink Pink Pink Orange Orange Orange Pink Pink Pink Gray Gray Gray Red Red Red\nRed Red Red Gray Gray Gray Pink Pink Pink Orange Orange Orange Pink Pink Pink Gray Gray Gray Red Red Red\nRed Red Red Orange Orange Orange Orange Orange Orange Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red\nRed Red Red Orange Orange Orange Orange Orange Orange Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red\nRed Red Red Orange Orange Orange Orange Orange Orange Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red\nRed Red Red Pink Pink Pink Gray Gray Gray Orange Orange Orange Gray Gray Gray Pink Pink Pink Red Red Red\nRed Red Red Pink Pink Pink Gray Gray Gray Orange Orange Orange Gray Gray Gray Pink Pink Pink Red Red Red\nRed Red Red Pink Pink Pink Gray Gray Gray Orange Orange Orange Gray Gray Gray Pink Pink Pink Red Red Red\n\nOutput:\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Pink Pink Pink\nBlack Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Pink Pink Pink\nBlack Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Gray Gray Gray\nBlack Black Black Black Black Black Orange Orange Orange Red Red Red Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Red Red Red Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Red Red Red Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Pink Pink Pink\nBlack Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Pink Pink Pink\nBlack Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Pink Pink Pink\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nRed Red Red Brown Brown Brown Pink Pink Pink Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Brown Brown Brown Pink Pink Pink Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Brown Brown Brown Pink Pink Pink Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\nPurple Purple Purple Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Brown Brown Brown Red Red Red\nPurple Purple Purple Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Brown Brown Brown Red Red Red\nPurple Purple Purple Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Brown Brown Brown Red Red Red\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Red Red Red\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Red Red Red\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Red Red Red\nBlack Black Black Purple Purple Purple Black Black Black Pink Pink Pink Red Red Red Pink Pink Pink Orange Orange Orange\nBlack Black Black Purple Purple Purple Black Black Black Pink Pink Pink Red Red Red Pink Pink Pink Orange Orange Orange\nBlack Black Black Purple Purple Purple Black Black Black Pink Pink Pink Red Red Red Pink Pink Pink Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Red Red Red\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Red Red Red\nPurple Purple Purple Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Red Red Red\nPurple Purple Purple Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Brown Brown Brown Red Red Red\nPurple Purple Purple Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Brown Brown Brown Red Red Red\nPurple Purple Purple Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Brown Brown Brown Red Red Red\nRed Red Red Brown Brown Brown Pink Pink Pink Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Brown Brown Brown Pink Pink Pink Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Brown Brown Brown Pink Pink Pink Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Red Red Red Red Red Red Orange Orange Orange Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Orange Orange Orange Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Orange Orange Orange Red Red Red Red Red Red Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Pink Pink Pink Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Pink Pink Pink Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Pink Pink Pink Brown Brown Brown Brown Brown Brown Black Black Black\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Red Red Red Pink Pink Pink Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Red Red Red Pink Pink Pink Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Red Red Red Pink Pink Pink Blue Blue Blue Blue Blue Blue\nGray Gray Gray Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Gray Gray Gray\nPink Pink Pink Green Green Green Gray Gray Gray Black Black Black Gray Gray Gray Green Green Green Pink Pink Pink\nPink Pink Pink Green Green Green Gray Gray Gray Black Black Black Gray Gray Gray Green Green Green Pink Pink Pink\nPink Pink Pink Green Green Green Gray Gray Gray Black Black Black Gray Gray Gray Green Green Green Pink Pink Pink\nBrown Brown Brown Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Brown Brown Brown\nRed Red Red Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Red Red Red\nRed Red Red Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Red Red Red\nRed Red Red Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Red Red Red Red Red Red Red Red Red Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Red Red Red Red Red Red Red Red Red Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Red Red Red Red Red Red Red Red Red Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Orange Orange Orange Orange Orange Orange Purple Purple Purple Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Orange Orange Orange Orange Orange Orange Purple Purple Purple Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Orange Orange Orange Orange Orange Orange Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple\nRed Red Red Purple Purple Purple Red Red Red Blue Blue Blue Purple Purple Purple Purple Purple Purple\nRed Red Red Purple Purple Purple Red Red Red Blue Blue Blue Purple Purple Purple Purple Purple Purple\nRed Red Red Purple Purple Purple Red Red Red Blue Blue Blue Purple Purple Purple Purple Purple Purple\nRed Red Red Orange Orange Orange Green Green Green Black Black Black Black Black Black Black Black Black\nRed Red Red Orange Orange Orange Green Green Green Black Black Black Black Black Black Black Black Black\nRed Red Red Orange Orange Orange Green Green Green Black Black Black Black Black Black Black Black Black\nRed Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Purple Black Orange Black Purple Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Orange Black Black Black Black\nOrange Black Black Orange Black Black Black Gray\nOrange Black Black Orange Black Black Purple Black\nOrange Black Black Orange Red Yellow Black Green\nOrange Purple Black Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Gray Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nRed Purple Black Red Black Purple Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue\nRed Black Black Red Black Black Black Black\nRed Black Black Red Black Black Black Gray\nRed Black Black Red Black Black Purple Black\nRed Black Black Red Red Yellow Black Green\nRed Purple Black Red Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue\nRed Black Gray Red Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Orange Black Black Black Black\nBlack Black Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Black Black Black Black\nBlack Black Orange Black Black Black Black\nBlack Black Orange Black Black Black Purple\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Brown Black Black Black\nBlack Black Orange Black Yellow Black Black\nBlack Black Orange Black Black Black Black\n\nOutput:\nBlack Black Red Black Black Black Black\nBlack Black Red Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue\nBlack Black Red Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Black Red Black Black Black Purple\nBlue Blue Blue Blue Blue Blue Blue\nBlack Black Red Brown Black Black Black\nBlack Black Red Black Yellow Black Black\nBlack Black Red Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray\nRed Black Black Black Black Black Gray\nBlack Purple Black Brown Black Black Gray\nBlack Black Black Green Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Green Black Black Black Black Gray\nBlack Red Blue Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Red\nBlue Blue Blue Blue Blue Blue Blue\nRed Black Black Black Black Black Red\nBlack Purple Black Brown Black Black Red\nBlack Black Black Green Black Black Red\nBlack Black Black Black Black Black Red\nBlack Green Black Black Black Black Red\nBlack Red Blue Black Black Black Red\nBlue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Gray Red Purple Black Pink Black\nBlack Black Black Black Black Black Brown Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Blue Brown Black Black Black Black Pink Black\nBlack Black Black Black Black Black Purple Pink Black\nBlack Black Orange Black Black Black Black Pink Black\nBrown Blue Black Black Black Black Black Pink Black\nBlack Black Black Blue Black Black Black Pink Black\nBlack Brown Orange Red Black Black Black Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Gray Red Purple Black Red Black\nBlack Black Black Black Black Black Brown Red Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Brown Black Black Black Black Red Black\nBlack Black Black Black Black Black Purple Red Black\nBlack Black Orange Black Black Black Black Red Black\nBrown Blue Black Black Black Black Black Red Black\nBlack Black Black Blue Black Black Black Red Black\nBlack Brown Orange Red Black Black Black Red Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Purple Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Pink\nBlack Black Purple Black Black Black Black Black Black Orange Black Black Black Black Black Black Pink Black\nOrange Black Black Purple Black Black Black Black Orange Black Black Black Black Black Black Pink Black Purple\nPink Orange Black Black Purple Black Black Orange Black Black Black Black Black Black Pink Black Purple Black\nBlack Pink Orange Black Black Purple Orange Black Black Black Black Black Black Pink Black Purple Black Black\nPink Black Pink Orange Black Orange Purple Black Black Black Black Black Pink Black Purple Black Black Black\nBlack Pink Black Pink Orange Black Black Purple Black Black Black Pink Black Purple Black Black Black Pink\nBlack Black Pink Orange Pink Orange Black Black Purple Black Pink Black Purple Black Black Black Pink Black\nBlack Black Orange Pink Black Pink Orange Black Black Pink Black Purple Black Black Black Pink Black Black\nBlack Orange Black Black Pink Black Pink Orange Pink Black Purple Black Black Black Pink Black Black Black\nOrange Black Black Black Black Pink Black Pink Orange Purple Black Purple Black Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Black Pink Orange Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Black Pink Black Pink Orange Pink Black Purple Black Black Black Black\nBlack Black Black Black Pink Black Purple Black Pink Black Pink Orange Black Black Purple Black Black Black\nBlack Black Black Pink Black Purple Black Black Black Pink Black Pink Orange Black Black Purple Black Black\nBlack Black Pink Black Purple Black Black Black Pink Black Pink Black Pink Orange Black Black Purple Black\nBlack Pink Black Purple Black Black Black Pink Black Black Black Pink Black Pink Orange Black Black Purple\nPink Black Purple Black Black Black Pink Black Black Black Black Black Pink Black Pink Orange Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nOrange Black Black Black Black Black Black\nBlack Black Black Orange Black Red Black\nBlack Black Blue Black Black Black Black\nBlue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Orange Black Red Blue Orange Black\nOrange Black Orange Blue Orange Black Red\nBlack Orange Blue Orange Black Red Black\nOrange Blue Orange Black Red Black Red\nBlue Orange Black Orange Black Orange Black\nOrange Blue Orange Black Orange Black Orange\nBlack Red Blue Orange Black Orange Black\n\n\nExample 3\nInput:\nBlack Black Black Gray Black Black Green\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Gray Black Blue Black Black Purple\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Purple Black Gray Black Black Green\nBlack Black Purple Black Gray Green Gray\nBlue Gray Black Purple Green Gray Blue\nGray Blue Black Green Purple Blue Gray\nGreen Black Blue Gray Blue Purple Black\nBlack Green Gray Blue Black Black Purple\nGreen Gray Blue Black Blue Purple Black\n\n\nHere is the input grid for the test example:\nInput:\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 Black Black Black Black Black Black Black\nBlack Black Pink 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 Pink Black Black Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black Black Black Black Brown Pink Black Black\nGray Pink Black Black Brown Pink Brown Black Gray\nPink Gray Pink Brown Pink Black Black Gray Black\nBlack Pink Gray Pink Black Black Gray Black Brown\nPink Brown Pink Gray Pink Gray Black Black Pink\nBrown Pink Black Pink Gray Pink Black Pink Black\nPink Black Pink Gray Pink Gray Pink Black Black\nBlack Black Gray Pink Black Pink Gray Pink Black\nBlack Gray Black Black Pink Black Pink Gray 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 Green Black Black Black\nGray Brown Black Black Black Black Black Black Black Black Red Blue Red\nYellow Black Black Blue Brown Black Black Yellow Black Green Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Brown\nBlack Black Black Black Black Black Yellow Red Black Black Blue Gray Black\nBlack Brown Yellow Black Green Black Black Black Yellow Green Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Blue Black Black Blue Black Gray Black Black Black\nBrown Black Black Black Black Black Black Black Black Gray Black Brown Blue\nBlack Green Black Black Brown Black Blue Black Black Yellow Black Black Yellow\nBlack Black Black Black Green Black Black Black Brown Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Brown Gray Black Brown\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Yellow Black Black Black Black\nGray Green Black Black Black Black Green Red Black Black Black Black Black\n\nOutput:\nGray Brown Black Black Black Black Black Black Green Black Green Blue Red\nBrown Gray Brown Blue Brown Black Black Yellow Black Green Blue Red Blue\nGray Yellow Blue Brown Blue Brown Yellow Black Yellow Black Green Blue Red\nYellow Black Blue Blue Blue Black Black Yellow Black Yellow Black Yellow Brown\nBlack Black Black Blue Black Black Yellow Red Red Black Red Brown Black\nBlack Brown Yellow Black Green Yellow Red Yellow Red Blue Gray Blue Gray\nBrown Yellow Brown Yellow Black Green Yellow Yellow Green Yellow Green Gray Black\nBlack Brown Yellow Black Blue Black Yellow Blue Yellow Gray Black Black Black\nBrown Black Black Blue Black Blue Blue Yellow Blue Gray Gray Brown Blue\nBlack Brown Black Black Brown Black Blue Blue Gray Yellow Gray Blue Brown\nGreen Black Green Brown Green Brown Black Blue Yellow Gray Yellow Yellow Blue\nGreen Green Black Green Brown Green Blue Brown Black Brown Brown Black Yellow\nBlack Green Black Black Green Black Black Black Brown Brown Gray Brown Brown\nGreen Black Black Black Black Black Black Yellow Brown Gray Brown Gray Black\nBlack Black Black Black Black Red Yellow Black Yellow Brown Gray Black Brown\nGray Green Black Black Red Black Red Yellow Black Yellow Black Black Black\nGreen Gray Green Black Black Green Red Green Red Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Gray Black Black Black Gray Gray Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Gray\nBlack Black Black Black Black Red Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Gray Orange Gray Black Black Black Black\nBlack Black Black Black Gray Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nGray Black Black Black Gray Black Gray Black Orange Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black\nPurple Black Purple Black Black Black Black Pink Black Black Gray Black\nBlack Orange Pink Black Red Gray Black Red Black Black Black Black\nOrange Black Pink Black Black Black Black Purple Black Red Black Pink\n\nOutput:\nBlack Black Gray Black Gray Black Gray Gray Gray Gray Black Red\nBlack Black Black Gray Black Black Black Red Gray Black Red Gray\nBlack Black Black Black Black Red Red Black Red Pink Gray Black\nBlack Black Black Black Red Black Red Pink Pink Pink Pink Gray\nBlack Black Black Red Black Gray Orange Gray Pink Pink Black Black\nBlack Black Red Black Gray Orange Gray Orange Gray Black Black Black\nBlack Black Black Gray Black Gray Orange Orange Black Black Black Black\nBlack Black Black Black Gray Red Purple Black Purple Gray Black Black\nBlack Black Black Black Red Black Red Purple Gray Black Gray Purple\nGray Black Black Black Gray Red Gray Black Orange Pink Purple Black\nBlack Gray Black Gray Black Gray Black Gray Pink Orange Pink Purple\nPurple Black Purple Black Gray Black Gray Pink Orange Pink Gray Pink\nBlack Purple Pink Purple Red Gray Pink Red Pink Gray Pink Gray\nOrange Pink Orange Pink Gray Red Gray Purple Red Red Gray Pink\nBlack Orange Pink Pink Red Gray Purple Red Purple Black Red Black\n\n\nExample 3\nInput:\nGreen Black Black Purple Green Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nPurple Black Gray Black Black Black Black Blue Gray Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Gray Green Black Black Red Black Black Black Blue\nBlack Black Black Gray Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Green Blue Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Blue Black Black Purple Pink Black Black Purple\nGreen Black Blue Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Purple Green Black Black Black\nGreen Pink Black Pink Black Orange Orange Black Purple Black Purple Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Purple Black Orange Black Black Black Black Green Green Black\n\nOutput:\nBlack Green Purple Green Purple Green Black Black Black Black Black Black\nGreen Black Purple Purple Purple Black Purple Black Black Black Black Black\nPurple Black Gray Purple Black Purple Black Purple Gray Black Black Black\nPink Purple Black Gray Black Black Blue Gray Blue Gray Black Black\nOrange Pink Gray Black Black Black Black Blue Orange Black Black Black\nPink Orange Black Gray Green Black Black Orange Black Orange Black Blue\nOrange Black Gray Green Gray Green Red Black Red Gray Blue Black\nBlack Black Gray Gray Gray Green Blue Red Gray Black Gray Blue\nBlack Black Black Gray Green Blue Green Blue Black Pink Black Pink\nBlack Black Black Green Blue Green Blue Purple Pink Black Pink Purple\nGreen Black Green Blue Green Blue Purple Pink Purple Pink Purple Blue\nBlack Green Black Blue Blue Black Black Purple Green Black Blue Purple\nGreen Pink Blue Pink Black Orange Purple Green Purple Green Purple Blue\nPink Green Pink Black Pink Orange Orange Purple Green Purple Black Purple\nGreen Pink Purple Pink Orange Orange Purple Black Purple Green Green Black\nBlack Purple Black Purple Black Orange Black Purple Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Orange Black Black Black Black Black Black Black Black Red Black Black\nYellow Black Purple Black Black Blue Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Red Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Black Pink Black Black Pink Black Blue\nBlack Yellow Yellow Black Black Black Black Black Black Purple Yellow Orange Black Black\nBlack Black Black Black Black Black Blue Black Black Orange Brown Yellow Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Orange Black Black Black Blue Red Black Black Black Blue Black Blue\nBrown Brown Black Black Black Red Black Black Black Black Black Black Black Orange\nPink Black Pink Black Orange Blue Black Black Pink Yellow Black Black Yellow Black\nOrange Brown Black Black Black Black Pink Black Black Black Red Black Black Red\nOrange Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBrown Black Black Black 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```\nYellow Orange Purple Orange Black Blue Black Black Black Black Red Brown Red Black\nBlack Yellow Orange Purple Blue Black Blue Black Red Brown Brown Red Brown Black\nYellow Black Purple Black Black Blue Brown Red Brown Red Brown Pink Black Blue\nBlack Yellow Yellow Black Black Brown Black Brown Red Pink Pink Orange Pink Black\nYellow Yellow Yellow Yellow Black Black Blue Black Purple Yellow Purple Yellow Orange Blue\nBlack Yellow Yellow Black Black Blue Black Blue Orange Brown Yellow Brown Yellow Black\nBlack Black Orange Black Black Black Blue Red Red Orange Brown Blue Black Blue\nBrown Orange Black Orange Black Blue Red Blue Red Black Blue Black Blue Orange\nBrown Brown Brown Black Red Blue Red Red Pink Yellow Black Blue Orange Blue\nOrange Pink Black Pink Blue Orange Blue Pink Yellow Pink Yellow Yellow Black Yellow\nBrown Orange Brown Black Orange Pink Black Pink Pink Red Black Red Red Black\nBrown Orange Black Black Black Black Blue Black Blue Black Red Black Black Red\nOrange Brown Black Black Black Black Black Blue Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Gray Gray Purple Purple Black Black\nBlack Black Pink Pink Gray Gray Purple Purple Black Black\nBlack Black Brown Brown Yellow Yellow Yellow Yellow Black Black\nBlack Black Brown Brown Yellow Yellow Yellow Yellow Black Black\nBlack Black Pink Pink Orange Orange Purple Purple Black Black\nBlack Black Pink Pink Orange Orange Purple Purple 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Gray Gray Blue Blue Pink Pink Black Black\nBlack Black Gray Gray Blue Blue Pink Pink Black Black\nBlack Black Green Green Green Green Blue Blue Black Black\nBlack Black Green Green Green Green Blue Blue Black Black\nBlack Black Yellow Yellow Orange Orange Pink Pink Black Black\nBlack Black Yellow Yellow Orange Orange Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Orange Orange Blue Blue Green Green Black Black\nBlack Black Orange Orange Blue Blue Green Green Black Black\nBlack Black Red Red Green Green Yellow Yellow Black Black\nBlack Black Red Red Green Green Yellow Yellow Black Black\nBlack Black Brown Brown Gray Gray Orange Orange Black Black\nBlack Black Brown Brown Gray Gray Orange Orange 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 Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Blue Brown Brown Gray Gray Black Black\nBlack Black Blue Blue Brown Brown Gray Gray Black Black\nBlack Black Brown Brown Gray Gray Green Green Black Black\nBlack Black Brown Brown Gray Gray Green Green Black Black\nBlack Black Gray Gray Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"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 Red Red Red Red Black Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Black Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Black Red Red Red Red Black\nBlack Green Green Green Black Red Red Red Red Black Red Red Red Red Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Green Green Green Green Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlue Blue Blue Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlue Blue Blue Black Red Red Red Red Black Black Black Black Black Black Black\nBlue Blue Blue Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Green Green Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Green Green Black\n\nOutput:\nBlack Black Black Black Black Red Red Red Red Black Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Black Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Black Red Red Red Red Red\nBlack Green Green Green Black Red Red Red Red Black Red Red Red Red Red\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Red Red\nBlack Green Green Green Green Green Green Green Green Black Black Black Black Red Red\nBlack Green Green Green Green Green Green Green Green Black Black Black Black Red Red\nBlack Green Green Green Green Green Green Green Green Black Yellow Yellow Yellow Red Red\nBlack Green Green Green Green Green Green Green Green Black Yellow Yellow Yellow Red Red\nBlack Green Green Green Green Green Green Black Black Green Green Green Green Green Green\nBlue Blue Blue Green Green Green Green Black Black Green Green Green Green Green Green\nBlue Blue Blue Black Red Red Red Red Black Green Green Green Green Green Green\nBlue Blue Blue Black Red Red Red Red Black Green Green Green Green Green Green\nBlack Black Black Black Red Red Red Red Black Green Green Green Green Green Green\nBlack Black Black Black Red Red Red Red Black Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Black Black Green Green Green Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Green Green Green Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Green Green Green Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Red Red Black Black Green Green Green Black Yellow Yellow Yellow\nBlack Black Black Black Red Red Black Black Green Green Green Black Black Black Black\nBlack 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\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 Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\n\nOutput:\nBlue Blue Blue Blue Black Black Green Green Green Black Black Green Green Green Green\nBlue Blue Blue Blue Black Black Green Green Green Black Black Green Green Green Green\nBlue Blue Blue Blue Black Black Green Green Green Black Black Green Green Green Green\nBlue Blue Blue Blue Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Red Red Black Black Green Green Green Black Yellow Yellow Yellow\nBlack Black Black Black Red Red Black Black Green Green Green Black Black Black Black\nBlack 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\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 Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nRed Red Red Black Green Green Black Blue Blue Blue Blue Black Black Black Black\nRed Red Red Black Green Green Black Blue Blue Blue Blue Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Blue Blue Black Black Black Black\nRed Red Red Black Green Green Green Green Green Blue Blue Black Black Black Black\nRed Red Red Black Green Green Green Green Green Blue Blue Black Black Black Black\nRed Red Red Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Green Green Green Green Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Green Green Green Green Blue Blue Black Black\nBlack Black Green Green Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Green Green Green Green Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\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 Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nGreen Green Black Black Black Black Red Red Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Red Red Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\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 Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nGreen Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nGreen Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Gray Gray Black Gray Gray\nGray Gray Yellow Yellow Black Gray Gray Black Gray Gray\nGray Gray Yellow Yellow Black Black Blue Blue Black Black\nBlack Brown Brown Black Blue Blue Blue Blue Black Black\nBlack Brown Brown Black Blue Blue Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Brown Brown Purple Purple Black Yellow Yellow\nBlack Black Black Brown Brown Purple Purple Black Yellow Yellow\nBlack Blue Blue Black Black Black Yellow Yellow Gray Gray\nBlack Blue Blue Black Black Black Yellow Yellow Gray Gray\n\nOutput:\nPurple Brown Blue Yellow Gray Black\n\n\nExample 2\nInput:\nBlack Black Black Black Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Green Green Black Black\nBlack Black Orange Orange Black Black Green Green Black Black\nBlack Black Black Black Black Gray Gray Black Green Green\nBlack Black Black Black Black Gray Gray Black Green Green\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Gray Gray Black Gray Gray\nPurple Purple Black Black Black Gray Gray Black Gray Gray\nPurple Purple Black Pink Pink Black Black Black Purple Purple\nBlack Black Black Pink Pink Black Black Black Purple Purple\n\nOutput:\nPink Purple Orange Gray Green Black\n\n\nExample 3\nInput:\nBlack Green Green Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black\nBlack Green Green Black Yellow Yellow Black Black Black Black\nBlack Green Green Black Yellow Yellow Black Gray Gray Black\nBlack Black Black Pink Pink Black Black Gray Gray Black\nBlack Black Black Pink Pink Black Black Black Blue Blue\nBlack Pink Pink Black Gray Gray Black Black Blue Blue\nBlack Pink Pink Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black\n\nOutput:\nBlue Yellow Pink Gray Green Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black 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 Red Red Black Brown Brown Black Black\nBlack Blue Blue Red Red Black Brown Brown Black Black\nBlack Blue Blue Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black\nPurple Purple Black Black Gray Gray Black Black Gray Gray\nPurple Purple Black Black Gray Gray Black Black Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Brown Gray Purple 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:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black 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 Black 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 Black 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 Black 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 Black 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 Black 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 Black 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 Black 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 Black 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 Black 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 Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Black Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Black Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Black Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Black Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Black Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Black Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Black Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Black Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Black Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Green Green Green Green Green Green Green Green\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\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:\nRed Red Red Red Red Red Red Red Red Red Red Black Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Black Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Black Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Black Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Black Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Black Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Black Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Black Red Red Red Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Brown Brown Black Black Black Black\nOrange Orange Orange Black Brown Brown Brown Black Black Black\nBlack Orange Orange Black Brown 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\n\nOutput:\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nPink Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Green Green Black Black\nBlack Gray Gray Black Black Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Blue Blue Blue Black\nOrange Orange Orange Black Black Black Blue Blue Blue Black\nOrange Orange Orange Black Black Black Blue Blue Blue Black\nOrange Orange Orange Black Black Black Blue Blue Blue Black\n\nOutput:\nPink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nYellow Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Brown Brown Brown Brown Black Black\nPurple Purple Black Black Brown Brown Brown Brown Black Black\nPurple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Gray Gray Black Black Black Black Blue Black\nBlack Black Gray Gray Black Black Black Blue Blue Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow 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 Orange Black Black Black Black Black\nGreen Green Green Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Green Black Black\nBlack Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Green Green\nBlack Black Black Black Black Orange Orange\nBlack Black Black Black Black Green Green\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black\nBlack Yellow Yellow Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black\nBlack Green Green Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black\nRed 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Black Black Black Black Black Black Black Yellow Black Yellow\nBlue Blue Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Black Brown Black Black Black Black Black Black Black Blue\nBlue Blue Black Brown Black Black Black Black Black Black Black Blue\nBlack Black Black Brown Black Purple Purple Purple Purple Black Blue Blue\nBlack Black Brown Brown Brown Black Black Black Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple 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\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Red Black Red Gray Gray Gray Black Black Black\nBlack Black Black Red Red Red Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Blue Blue Orange Orange Orange Orange Black Black Black Black Black\nBlack Blue Blue Orange Orange Orange Orange Black Black Black Black Black\nBlack Blue Blue Orange Orange Orange Orange 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 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 Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Yellow Black Black Black Blue Black Black Black Black\nYellow Yellow Yellow Yellow Black Blue Blue Blue Blue Black Purple Purple\nBlack Black Black Black Black Blue Blue Blue Blue Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nGray Gray Gray Gray Gray Black Black Black Black Blue Blue Black\nGray Gray Gray Gray Gray Black Black Black Blue Blue Blue Black\nBlack Black Orange Black Black Pink Pink Black Black Blue Blue Black\nBlack Black Orange Black Black Pink Pink Pink Black Black Black Black\nBlack Black Orange Black Black Pink Pink Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Yellow Yellow Brown Brown Black Black Black Black\nBlue Blue Blue Blue Black Yellow Brown Brown Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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\nGreen Green Green Black Blue Blue Blue Black Blue Blue Blue Black\nGreen Green Green Black Blue Blue Blue Black Blue Blue Blue Black\nGreen Green Green Black Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Blue Blue Blue Black Blue Blue Blue Black\nGreen Green Green Black Blue Blue Blue Black Blue Blue Blue Black\nGreen Green Green Black Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Blue Blue Blue Black Green Green Green Black\nGreen Green Green Black Blue Blue Blue Black Green Green Green Black\nGreen Green Green Black Blue Blue Blue Black Green Green Green Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Orange Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Orange Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Orange Black Black Black Pink Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Blue Blue Blue Black Green Green Green Black\nGreen Green Green Black Blue Blue Blue Black Green Green Green Black\nGreen Green Green Black Blue Blue Blue Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Red Red Red Black Blue Blue Blue Black\nBlue Blue Blue Black Red Red Red Black Blue Blue Blue Black\nBlue Blue Blue Black Red Red Red Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Green Green Green Black Blue Blue Blue Black\nBlue Blue Blue Black Green Green Green Black Blue Blue Blue Black\nBlue Blue Blue Black Green Green Green 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 Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Orange Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Yellow Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Pink Black Black Black Orange Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Green Green Green Black Green Green Green Black\nGreen Green Green Black Green Green Green Black Green Green Green Black\nGreen Green Green Black Green Green Green Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Blue Blue Blue Black Green Green Green Black\nRed Red Red Black Blue Blue Blue Black Green Green Green Black\nRed Red Red Black Blue Blue Blue Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Blue Blue Blue Black Red Red Red Black\nBlue Blue Blue Black Blue Blue Blue Black Red Red Red Black\nBlue Blue Blue Black Blue Blue Blue Black Red Red Red 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\nPink Black Black Black Pink Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Orange Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Orange Black Black Black Yellow 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\nRed Red Red Black Blue Blue Blue Black Green Green Green Black\nRed Red Red Black Blue Blue Blue Black Green Green Green Black\nRed Red Red Black Blue Blue Blue Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Red Red Red Black Green Green Green Black\nGreen Green Green Black Red Red Red Black Green Green Green Black\nGreen Green Green Black Red Red Red Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Red Red Red Black Green Green Green Black\nRed Red Red Black Red Red Red Black Green Green Green Black\nRed Red Red Black Red Red Red Black Green Green Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Orange Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Yellow Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Yellow 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Brown Brown Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Brown Brown Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Brown Brown Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBrown Brown Brown Brown 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\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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Gray Gray Gray Pink Pink Pink Pink Pink Black\nBlack Black Black Black Pink Gray Gray Gray Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Gray Gray Gray Black Pink Pink Pink Pink Black\nBlack 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 Pink Black\nGray Gray Gray Gray Gray Black Black Purple Purple Purple Purple Black Black Black\nGray Gray Gray Gray Gray Black Black Purple Purple Purple Purple Black Black Black\nGray Gray Gray Gray Gray Black Black Purple Purple Purple Purple Black Black Black\nGray Gray Gray Gray Gray Black Black Purple Purple Purple Purple Black Black Black\nGray Gray Gray Gray Gray Black Black Purple Purple Purple Purple 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 Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Gray Gray Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Gray Gray Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Gray Gray Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black 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 Gray Gray Gray Gray Black\nBlack Black Black Black Blue Gray Gray Gray Gray Black\nBlack Black Black Black Blue Gray Gray Gray Gray Black\nBlack Black Red Red Red Gray Gray Gray Gray Black\nBlack Black Red Red Red Red Red Yellow Black Black\nBlack Black Red Red Red Red Red Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red 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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Purple Black Black Black\nBlack Black Black Brown Black Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black\nYellow Black Black Brown Brown Brown Black Pink Black Black\nBlack Black Black Black Red Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown 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 Red Black Black\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Gray Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\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 Gray Gray Black Black Black Black Black Red Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack 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 Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Brown Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Green Red Red Red Black Black Brown\nBlack Black Black Black Red Red Red Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Black Black Black\nBlack Black Red 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\n\n\nExample 2\nInput:\nBlack Black Black Purple Black\nBlack Purple Purple Purple Black\nPurple Purple Purple Black Black\nPurple Black Black Black Black\nPurple Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nPurple Purple Black Black Black\nBlack Purple Purple Black Black\nBlack Purple Purple Black Black\nBlack Black Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Black Black Pink Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\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\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```\nPink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Purple Purple Blue Pink Black Green Purple Purple\nBlack Black Black Black Purple Blue Black Orange Orange Black Orange Purple Purple\nBlack Black Black Black Blue Blue Purple Brown Blue Purple Purple Red Red\nYellow Green Green Green Purple Red Red Red Black Black Orange Pink Red\nBlack Black Black Green Black Black Black Black Black Red Yellow Pink Red\nBlack Black Green Green Black Black Black Black Black Gray Red Purple Red\nBlack Black Black Black Black Black Black Black Black Red Green Red Purple\nBlack Black Black Black Black Black Black Black Black Gray Pink Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Blue\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Gray Yellow\nBlack Black Black Black Black Black Black Black Black Brown Yellow Gray Orange\nBlack Black Black Black Black Black Black Black Green Red Red Blue Yellow\nBlack Black Black Black Black Black Black Black Green Black Orange Yellow Yellow\nBlack Black Black Black Black Black Black Orange Green Orange Orange Yellow Gray\nBlack Black Black Black Black Black Orange Orange Black Black Red Black Gray\nBlack Black Black Black Black Black Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Gray Pink Brown Red Red Black Black\n\nOutput:\nBlack Black Black Black Black Purple Purple Blue Pink Black Green Purple Purple\nBlack Black Black Black Purple Blue Black Orange Orange Black Orange Purple Purple\nBlack Black Black Black Blue Blue Purple Brown Blue Purple Purple Red Red\nYellow Green Green Green Green Red Red Red Black Black Orange Pink Red\nBlack Black Black Green Green Black Black Black Black Red Yellow Pink Red\nBlack Black Green Green Green Black Black Black Black Gray Red Purple Red\nBlack Black Black Black Black Black Black Black Black Red Green Red Purple\nBlack Black Black Black Black Black Black Black Black Gray Pink Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Blue\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Gray Yellow\nBlack Black Black Black Black Black Black Black Black Brown Yellow Gray Orange\nBlack Black Black Black Black Black Black Black Green Red Red Blue Yellow\nBlack Black Black Black Black Black Black Black Green Black Orange Yellow Yellow\nBlack Black Black Black Black Black Black Orange Green Orange Orange Yellow Gray\nBlack Black Black Black Black Black Orange Orange Black Black Red Black Gray\nBlack Black Black Black Black Black Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Gray Pink Brown Red Red Black Black\n\n\nExample 2\nInput:\nYellow Yellow Red Purple Purple Purple Purple Purple Purple Red Yellow Yellow\nYellow Gray Red Yellow Purple Purple Purple Purple Yellow Red Gray Yellow\nGray Gray Blue Yellow Green Green Green Green Yellow Blue Gray Gray\nGray Gray Purple Yellow Orange Green Green Orange Yellow Purple Gray Gray\nBrown Blue Purple Yellow Blue Green Green Blue Yellow Purple Blue Brown\nGreen Brown Purple Yellow Black Black Black Black Yellow Purple Brown Green\nBlue Pink Orange Orange Black Black Black Black Orange Orange Pink Blue\nRed Blue Blue Black Black Black Black Black Black Blue Blue Red\nRed Green Green Black Black Black Black Black Black Green Green Red\nRed Black Black Black Black Black Black Black Black Black Black Red\nOrange Black Black Black Black Black Black Black Black Black Black Orange\nPurple Black Black Black Black Black Black Black Black Black Black Purple\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Blue Blue Blue Black Black Black Black Blue Blue Blue Yellow\n\nOutput:\nYellow Yellow Red Purple Purple Purple Purple Purple Purple Purple Yellow Yellow\nYellow Gray Red Yellow Purple Purple Purple Purple Purple Red Gray Yellow\nGray Gray Blue Yellow Green Green Green Green Yellow Blue Gray Gray\nGray Gray Purple Yellow Orange Green Green Orange Yellow Purple Gray Gray\nBrown Blue Purple Yellow Blue Green Green Blue Yellow Purple Blue Brown\nGreen Brown Purple Yellow Black Black Black Black Yellow Purple Brown Green\nBlue Pink Orange Orange Black Black Black Black Orange Orange Pink Blue\nRed Blue Blue Black Black Black Black Black Black Blue Blue Red\nRed Green Green Black Black Black Black Black Black Green Green Red\nRed Black Black Black Black Black Black Black Black Black Black Red\nOrange Black Black Black Black Black Black Black Black Black Black Orange\nPurple Black Black Black Black Black Black Black Black Black Black Purple\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Blue Blue Blue Black Black Black Black Blue Blue Blue Yellow\n\n\nExample 3\nInput:\nBlack Black Black Red Red Orange Gray Gray Blue Gray Gray Purple\nBlack Black Red Red Blue Brown Gray Pink Gray Green Gray Gray\nBlack Black Black Purple Purple Red Red Pink Green Green Gray Yellow\nBlack Black Black Yellow Brown Red Blue Pink Black Orange Gray Gray\nBlack Black Orange Purple Green Orange Orange Blue Purple Green Red Black\nYellow Yellow Black Black Green Pink Pink Blue Blue Blue Purple Black\nYellow Blue Blue Blue Green Purple Yellow Black Blue Black Black Black\nBlack Yellow Gray Gray Green Yellow Yellow Orange Orange Black Black Black\nBlack Yellow Gray Gray Green Yellow Yellow Orange Orange Black Black Black\nYellow Blue Blue Blue Green Purple Yellow Black Blue Black Black Black\nYellow Yellow Black Black Green Pink Pink Blue Blue Blue Purple Black\nBlack Black Orange Purple Green Orange Orange Blue Purple Green Red Black\nBlack Black Black Yellow Brown Red Blue Pink Black Orange Gray Gray\nBlack Black Black Purple Purple Red Red Pink Green Green Gray Yellow\nBlack Black Red Red Blue Brown Gray Pink Gray Green Gray Gray\nBlack Black Black Red Red Orange Gray Gray Blue Gray Gray Purple\n\nOutput:\nBlack Black Black Red Red Orange Gray Gray Blue Gray Gray Purple\nBlack Black Red Red Blue Brown Gray Pink Gray Green Gray Gray\nBlack Black Black Purple Purple Red Red Pink Green Green Gray Yellow\nBlack Black Black Yellow Brown Red Blue Pink Black Orange Gray Gray\nBlack Black Orange Purple Green Green Orange Blue Purple Green Red Black\nYellow Yellow Black Black Green Green Pink Blue Blue Blue Purple Black\nYellow Blue Blue Blue Green Green Yellow Black Blue Black Black Black\nBlack Yellow Gray Gray Green Green Yellow Orange Orange Black Black Black\nBlack Yellow Gray Gray Green Green Yellow Orange Orange Black Black Black\nYellow Blue Blue Blue Green Green Yellow Black Blue Black Black Black\nYellow Yellow Black Black Green Green Pink Blue Blue Blue Purple Black\nBlack Black Orange Purple Green Green Orange Blue Purple Green Red Black\nBlack Black Black Yellow Brown Red Blue Pink Black Orange Gray Gray\nBlack Black Black Purple Purple Red Red Pink Green Green Gray Yellow\nBlack Black Red Red Blue Brown Gray Pink Gray Green Gray Gray\nBlack Black Black Red Red Orange Gray Gray Blue Gray Gray Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Orange Orange Red Red Brown Brown Red Red Orange Orange Black Black\nPink Pink Orange Orange Yellow Pink Yellow Yellow Pink Yellow Orange Orange Pink Pink\nOrange Orange Pink Red Yellow Yellow Yellow Yellow Yellow Yellow Red Pink Orange Orange\nOrange Yellow Yellow Pink Yellow Green Black Black Green Yellow Pink Yellow Yellow Orange\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Purple Purple Purple Orange Black Red Red Black Orange Purple Purple Purple Black\nBlack Black Black Blue Pink Brown Brown Brown Brown Pink Blue Black Black Black\nBlack Black Black Blue Red Pink Black Black Pink Red Blue Black Black Black\nBlack Black Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Black Black\nBlack Blue Blue Pink Blue Orange Blue Blue Orange Blue Pink Blue Blue Black\nBlack Gray Purple Pink Pink Pink Purple Purple Pink Pink Pink Purple Gray Black\nBlack Pink Black Green Green Purple Purple Purple Purple Green Green Black Pink Black\nBlack Brown Blue Blue Black Black Purple Purple Black Black Blue Blue Brown Black\nBlack Red Yellow Black Black Black Black Black Black Black Black Yellow Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Orange Orange Red Red Brown Brown Red Red Orange Orange Black Black\nPink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Pink Pink\nOrange Orange Pink Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Orange Orange\nOrange Yellow Yellow Yellow Yellow Yellow Black Black Green Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Purple Purple Purple Orange Black Red Red Black Orange Purple Purple Purple Black\nBlack Black Black Blue Pink Brown Brown Brown Brown Pink Blue Black Black Black\nBlack Black Black Blue Red Pink Black Black Pink Red Blue Black Black Black\nBlack Black Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Black Black\nBlack Blue Blue Pink Blue Orange Blue Blue Orange Blue Pink Blue Blue Black\nBlack Gray Purple Pink Pink Pink Purple Purple Pink Pink Pink Purple Gray Black\nBlack Pink Black Green Green Purple Purple Purple Purple Green Green Black Pink Black\nBlack Brown Blue Blue Black Black Purple Purple Black Black Blue Blue Brown Black\nBlack Red Yellow Black Black Black Black Black Black Black Black Yellow 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 Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nPurple Purple Purple Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange\nPurple Purple Purple Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange\nPurple Purple Purple Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\n\nOutput:\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nPurple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange\nPurple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange\nPurple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Yellow Yellow Yellow\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Yellow Yellow Yellow\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Yellow Yellow Yellow\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Yellow Yellow Yellow\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nRed Red Red Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nRed Red Red Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Pink Pink Pink Pink Pink Pink\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Pink Pink Pink Pink Pink Pink\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nRed Red Red Black Black Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nRed Red Red Black Black Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Pink Pink Pink Pink Pink Pink\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Pink Pink Pink Pink Pink Pink\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Black Black Black Black Black Black Black Black Blue Black\nBlack Blue Black Black Black Black Black Black Black Black Blue Black\nBlack Blue Black Black Black Black Black Black Black Black Blue Black\nBlack Blue Black Black Black Black Black Black Black Black Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack 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\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed 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\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Black Black Black Black Black Black Blue Black\nBlack Blue Black Black Black Black Black Black Blue Black\nBlack Blue Black Black Black Black Black Black Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Black Black Black Black Black Black Black Blue Black\nBlack Blue Black Black Black Black Black Black Black Blue Black\nBlack Blue Black Black Black Black Black Black Black Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Blue\nBlack Blue Black Black Black Black Black Blue Black\nBlue Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Red Red Red Red Black Red Red Red\nBlack Black Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Red Red Black Red Red\nBlack Black Black Black Black Red Red Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Pink Pink Pink Pink Black Pink Pink Pink\nBlack Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Black Yellow Yellow\nBlack Black Black Black Black Yellow Yellow 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 Red Red Red Red Black Black\nRed Red Red Black Red Red Red Red Black Black\nRed Red Red Black Red Red Red Red Black Black\nRed Red Red Black Red Red Red Red Black Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Red Red Black\nBlack Black Black Red Red Red Black Red Red Black\nBlack Black Black Red Red Red 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 Pink Pink Pink Pink Black Black\nPink Pink Pink Black Pink Pink Pink Pink Black Black\nPink Pink Pink Black Pink Pink Pink Pink Black Black\nPink Pink Pink Black Pink Pink Pink Pink Black Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Yellow Yellow Black\nBlack Black Black Pink Pink Pink Black Yellow Yellow Black\nBlack Black Black Pink Pink Pink Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Red Red\nBlack Red Red Red Red Red Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black\nBlack Red Red Red Red Red Black Red Red Black\nBlack Red Red Red Red Red Black Red Red Black\nBlack Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Red Black Black Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Yellow Yellow Black\nBlack Pink Pink Pink Pink Pink Black Yellow Yellow Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Red Black Black Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Red Black Black\nRed Red Red Red Red Black Black Black Black Black\nRed Red Red Red Red Black Black Red Red Red\nRed Red Red Red Red Black Black Red Red Red\nRed Red Red Red Red Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Red Red\nRed Red Red Black Black Black Black Black Red Red\nRed Red Red Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Red Black Black\nPink Pink Pink Pink Pink Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Yellow Yellow\nPink Pink Pink Black Black Black Black Black Yellow Yellow\nPink Pink Pink Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Yellow Black Black\nBlack Black Yellow Black Black Black Black Yellow Black Black\nBlack Black Yellow Black Black Black Black Yellow Black Black\nBlack Black Yellow Black Black Black Black Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Green Green Black Black Black Black Green Green Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black\nBlack Black Black 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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue\nBrown Brown Brown Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue\nBrown Brown Brown Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue\nRed Red Red Purple Purple Purple Purple Purple Purple Pink Pink Pink\nRed Red Red Purple Purple Purple Purple Purple Purple Pink Pink Pink\nRed Red Red Purple Purple Purple Purple Purple Purple Pink Pink Pink\nPurple Purple Purple Red Red Red Yellow Yellow Yellow Green Green Green\nPurple Purple Purple Red Red Red Yellow Yellow Yellow Green Green Green\nPurple Purple Purple Red Red Red Yellow Yellow Yellow Green Green Green\nPink Pink Pink Purple Purple Purple Brown Brown Brown Green Green Green\nPink Pink Pink Purple Purple Purple Brown Brown Brown Green Green Green\nPink Pink Pink Purple Purple Purple Brown Brown Brown Green Green Green\n\nOutput:\nGray Gray Gray Red Red Red Purple Purple Purple Yellow Yellow Yellow\nGray Gray Gray Red Red Red Purple Purple Purple Yellow Yellow Yellow\nGray Gray Gray Red Red Red Purple Purple Purple Yellow Yellow Yellow\nGreen Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple\nGreen Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple\nGreen Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Green Green Green Red Red Red Blue Blue Blue\nBrown Brown Brown Green Green Green Red Red Red Blue Blue Blue\nBrown Brown Brown Green Green Green Red Red Red Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Gray Gray Gray Blue Blue Blue\n\n\nExample 2\nInput:\nBrown Brown Brown Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow\nPurple Purple Purple Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue\nPink Pink Pink Red Red Red Yellow Yellow Yellow Red Red Red Green Green Green\nPink Pink Pink Red Red Red Yellow Yellow Yellow Red Red Red Green Green Green\nPink Pink Pink Red Red Red Yellow Yellow Yellow Red Red Red Green Green Green\nBlue Blue Blue Green Green Green Red Red Red Purple Purple Purple Pink Pink Pink\nBlue Blue Blue Green Green Green Red Red Red Purple Purple Purple Pink Pink Pink\nBlue Blue Blue Green Green Green Red Red Red Purple Purple Purple Pink Pink Pink\n\nOutput:\nGray Gray Gray Red Red Red Purple Purple Purple Yellow Yellow Yellow Red Red Red\nGray Gray Gray Red Red Red Purple Purple Purple Yellow Yellow Yellow Red Red Red\nGray Gray Gray Red Red Red Purple Purple Purple Yellow Yellow Yellow Red Red Red\nBrown Brown Brown Pink Pink Pink Red Red Red Pink Pink Pink Yellow Yellow Yellow\nBrown Brown Brown Pink Pink Pink Red Red Red Pink Pink Pink Yellow Yellow Yellow\nBrown Brown Brown Pink Pink Pink Red Red Red Pink Pink Pink Yellow Yellow Yellow\nPurple Purple Purple Green Green Green Red Red Red Green Green Green Blue Blue Blue\nPurple Purple Purple Green Green Green Red Red Red Green Green Green Blue Blue Blue\nPurple Purple Purple Green Green Green Red Red Red Green Green Green Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Green Green Green Brown Brown Brown Purple Purple Purple\nYellow Yellow Yellow Blue Blue Blue Green Green Green Brown Brown Brown Purple Purple Purple\nYellow Yellow Yellow Blue Blue Blue Green Green Green Brown Brown Brown Purple Purple Purple\n\n\nExample 3\nInput:\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Brown Brown Brown\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Brown Brown Brown\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Brown Brown Brown\nPurple Purple Purple Blue Blue Blue Red Red Red Gray Gray Gray Yellow Yellow Yellow\nPurple Purple Purple Blue Blue Blue Red Red Red Gray Gray Gray Yellow Yellow Yellow\nPurple Purple Purple Blue Blue Blue Red Red Red Gray Gray Gray Yellow Yellow Yellow\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Red Red Red Brown Brown Brown\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Red Red Red Brown Brown Brown\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Red Red Red Brown Brown Brown\nGreen Green Green Green Green Green Blue Blue Blue Gray Gray Gray Purple Purple Purple\nGreen Green Green Green Green Green Blue Blue Blue Gray Gray Gray Purple Purple Purple\nGreen Green Green Green Green Green Blue Blue Blue Gray Gray Gray Purple Purple Purple\n\nOutput:\nPink Pink Pink Brown Brown Brown Gray Gray Gray Purple Purple Purple Gray Gray Gray\nPink Pink Pink Brown Brown Brown Gray Gray Gray Purple Purple Purple Gray Gray Gray\nPink Pink Pink Brown Brown Brown Gray Gray Gray Purple Purple Purple Gray Gray Gray\nBrown Brown Brown Yellow Yellow Yellow Green Green Green Pink Pink Pink Red Red Red\nBrown Brown Brown Yellow Yellow Yellow Green Green Green Pink Pink Pink Red Red Red\nBrown Brown Brown Yellow Yellow Yellow Green Green Green Pink Pink Pink Red Red Red\nPurple Purple Purple Red Red Red Purple Purple Purple Green Green Green Gray Gray Gray\nPurple Purple Purple Red Red Red Purple Purple Purple Green Green Green Gray Gray Gray\nPurple Purple Purple Red Red Red Purple Purple Purple Green Green Green Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Gray Gray Gray Blue Blue Blue\nGreen Green Green Gray Gray Gray Blue Blue Blue\nGreen Green Green Gray Gray Gray Blue Blue Blue\nBrown Brown Brown Pink Pink Pink Red Red Red\nBrown Brown Brown Pink Pink Pink Red Red Red\nBrown Brown Brown Pink Pink Pink Red Red Red\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nPink Pink Pink Pink Pink Pink Gray Gray Gray\nPink Pink Pink Pink Pink Pink Gray Gray Gray\nPink Pink Pink Pink Pink Pink Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Pink Pink Pink Yellow Yellow Yellow\nBlue Blue Blue Pink Pink Pink Yellow Yellow Yellow\nBlue Blue Blue Pink Pink Pink Yellow Yellow Yellow\nGray Gray Gray Purple Purple Purple Green Green Green\nGray Gray Gray Purple Purple Purple Green Green Green\nGray Gray Gray Purple Purple Purple Green Green Green\nPink Pink Pink Red Red Red Pink Pink Pink\nPink Pink Pink Red Red Red Pink Pink Pink\nPink Pink Pink Red Red Red Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Pink Pink Pink\nPurple Purple Purple Purple Purple Purple 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:\nBrown Brown Blue Blue Blue Blue Gray Gray Blue Blue\nBrown Brown Blue Blue Blue Blue Gray Gray Blue Blue\nRed Red Orange Orange Blue Blue Blue Blue Blue Blue\nRed Red Orange Orange Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue Gray Gray\nGreen Green Green Green Blue Blue Blue Blue Gray Gray\nBrown Brown Brown Brown Pink Pink Pink Pink Orange Orange\nBrown Brown Brown Brown Pink Pink Pink Pink Orange Orange\n\nOutput:\nBlue Blue Orange Orange Red Red Red Red Orange Orange Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Orange Orange Red Red Red Red Orange Orange Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Brown Brown Brown Brown Blue Blue Blue Blue Gray Gray Blue Blue Black Black Black Black\nBlue Blue Blue Blue Brown Brown Brown Brown Blue Blue Blue Blue Gray Gray Blue Blue Black Black Black Black\nBlue Blue Blue Blue Brown Brown Brown Brown Blue Blue Blue Blue Gray Gray Blue Blue Black Black Black Black\nBlue Blue Blue Blue Brown Brown Brown Brown Blue Blue Blue Blue Gray Gray Blue Blue Black Black Black Black\nBlue Blue Orange Orange Red Red Red Red Orange Orange Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Orange Orange Red Red Red Red Orange Orange Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Green Green Green Green Green Green Green Green Blue Blue Blue Blue Gray Gray Black Black Black Black\nBlue Blue Green Green Green Green Green Green Green Green Blue Blue Blue Blue Gray Gray Black Black Black Black\nPink Pink Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange Black Black Black Black\nPink Pink Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Blue Yellow Yellow Yellow Yellow Orange Orange\nBlue Blue Yellow Yellow Yellow Yellow Orange Orange\nBlue Blue Pink Pink Purple Purple Green Green\nBlue Blue Pink Pink Purple Purple Green Green\nOrange Orange Blue Blue Orange Orange Green Green\nOrange Orange Blue Blue Orange Orange Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Red Red Red Red\nOrange Orange Orange Orange Red Red Red Red\n\nOutput:\nBlue Blue Orange Orange Orange Orange Blue Blue Orange Orange Green Green Black Black Black Black\nBlue Blue Orange Orange Orange Orange Blue Blue Orange Orange Green Green Black Black Black Black\nPink Pink Blue Blue Blue Blue Pink Pink Purple Purple Green Green Black Black Black Black\nPink Pink Blue Blue Blue Blue Pink Pink Purple Purple Green Green Black Black Black Black\nYellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Orange Orange Black Black Black Black\nYellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Orange Orange Black Black Black Black\nYellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Orange Orange Black Black Black Black\nYellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Orange Orange Black Black Black Black\nPink Pink Blue Blue Blue Blue Pink Pink Purple Purple Green Green Black Black Black Black\nPink Pink Blue Blue Blue Blue Pink Pink Purple Purple Green Green Black Black Black Black\nBlue Blue Orange Orange Orange Orange Blue Blue Orange Orange Green Green Black Black Black Black\nBlue Blue Orange Orange Orange Orange Blue Blue Orange Orange Green Green Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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:\nPink Pink Gray Gray Yellow Yellow Brown Brown Gray Gray\nPink Pink Gray Gray Yellow Yellow Brown Brown Gray Gray\nGray Gray Blue Blue Red Red Gray Gray Gray Gray\nGray Gray Blue Blue Red Red Gray Gray Gray Gray\nRed Red Red Red Red Red Gray Gray Blue Blue\nRed Red Red Red Red Red Gray Gray Blue Blue\nPurple Purple Brown Brown Brown Brown Orange Orange Blue Blue\nPurple Purple Brown Brown Brown Brown Orange Orange Blue Blue\nOrange Orange Brown Brown Purple Purple Orange Orange Orange Orange\nOrange Orange Brown Brown Purple Purple Orange Orange Orange Orange\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Gray Gray Blue Blue Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Gray Gray Blue Blue Black Black Black Black\nRed Red Blue Blue Gray Gray Gray Gray Blue Blue Red Red Gray Gray Gray Gray Black Black Black Black\nRed Red Blue Blue Gray Gray Gray Gray Blue Blue Red Red Gray Gray Gray Gray Black Black Black Black\nYellow Yellow Gray Gray Pink Pink Pink Pink Gray Gray Yellow Yellow Brown Brown Gray Gray Black Black Black Black\nYellow Yellow Gray Gray Pink Pink Pink Pink Gray Gray Yellow Yellow Brown Brown Gray Gray Black Black Black Black\nYellow Yellow Gray Gray Pink Pink Pink Pink Gray Gray Yellow Yellow Brown Brown Gray Gray Black Black Black Black\nYellow Yellow Gray Gray Pink Pink Pink Pink Gray Gray Yellow Yellow Brown Brown Gray Gray Black Black Black Black\nRed Red Blue Blue Gray Gray Gray Gray Blue Blue Red Red Gray Gray Gray Gray Black Black Black Black\nRed Red Blue Blue Gray Gray Gray Gray Blue Blue Red Red Gray Gray Gray Gray Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Gray Gray Blue Blue Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Gray Gray Blue Blue Black Black Black Black\nBrown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Blue Blue Black Black Black Black\nBrown Brown Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Blue Blue Black Black Black Black\nPurple Purple Brown Brown Orange Orange Orange Orange Brown Brown Purple Purple Orange Orange Orange Orange Black Black Black Black\nPurple Purple Brown Brown Orange Orange Orange Orange Brown Brown Purple Purple Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Pink Pink Blue Blue\nRed Red Pink Pink Blue Blue\nYellow Yellow Blue Blue Blue Blue\nYellow Yellow Blue Blue Blue Blue\nPurple Purple Blue Blue Pink Pink\nPurple Purple Blue Blue Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black\nBlue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black\nPink Pink Red Red Red Red Pink Pink Blue Blue Black Black\nPink Pink Red Red Red Red Pink Pink Blue Blue Black Black\nPink Pink Red Red Red Red Pink Pink Blue Blue Black Black\nPink Pink Red Red Red Red Pink Pink Blue Blue Black Black\nBlue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black\nBlue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black\nBlue Blue Purple Purple Purple Purple Blue Blue Pink Pink Black Black\nBlue Blue Purple Purple Purple Purple Blue Blue Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Blue 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 Blue Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Yellow Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black 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```\nBlack Black Blue 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Green Green 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 Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black 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 Black 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 Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\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 Blue Blue Black Black Black Blue Blue Black\nBlack Black Blue Blue Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black 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\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Green Green Black\nBlack Black Green Green Black Black Black Green Green Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Blue Blue Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Blue Black Black Black Black\nBlack Black Orange Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Yellow Black Black\nBlack Black Black Pink Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Orange Orange Blue Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Blue Orange Orange Orange Orange Pink Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Blue Orange Orange Orange Orange Pink Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Gray Black Black Black Black\nBlack Black Yellow Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Blue Black Black\nBlack Black Black Pink Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Orange Orange Blue Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Pink Orange Orange Orange Orange Purple Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Blue Orange Orange Orange Orange Pink Orange Orange\nOrange Orange Orange Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 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 Gray Black Orange Black Black Black Black\nBlack Black Yellow Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Blue Black Black\nBlack Black Black Purple Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Orange Orange Blue Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Pink Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Pink Orange Orange Orange Orange Purple Orange Orange\nOrange Orange Orange Blue Orange Orange Blue Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\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 Green Black Red Black Black Black Black\nBlack Black Gray Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Purple Black Black\nBlack Black Black Brown 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Orange Orange Purple Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Blue Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Blue Orange Orange Orange Orange Purple Orange Orange\nOrange Orange Orange Pink Orange Orange Pink Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange 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\nBlack Black Black Black Black\nBlack Black Brown Blue Black\nBlack Black Green Gray 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 Green Brown Black\nBlack Black Gray Blue Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Red Gray Black Black\nBlack Black Purple Pink Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Purple Red Black Black\nBlack Black Pink Gray Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Pink Purple Black Black\nBlack Black Red Brown 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 Red Pink Black Black\nBlack Black Brown Purple Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Blue Yellow Black\nBlack Orange Brown 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 Orange Blue Black\nBlack Brown Yellow Black\nBlack Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black 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 Yellow Yellow Black Green Green Black Black\nBlack Yellow Yellow Black Green Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\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\nGreen Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Green Green Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow 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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Purple Black Purple Black Purple Black Purple Black Purple\nPurple Black Black Purple Black Purple Purple Black Black Black\nBlack Black Purple Black Black Black Black Black Purple Black\nPurple Purple Purple Purple Purple Purple Purple Black Purple Black\nPurple Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Black Purple Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nPurple Black Purple Black Purple Purple Black Black Purple Black\nPurple Black Black Black Black Black Purple Black Purple Black\nBlack Purple Black Black Purple Purple Purple Black Purple Black\nBlack Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Purple Black Purple Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Purple Purple Purple\nPurple Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Purple Black Purple Purple Purple\n\n\nExample 2\nInput:\nOrange Black Black Orange Orange Orange Orange Black Orange Orange Black Black\nBlack Orange Black Orange Orange Orange Orange Black Black Orange Orange Orange\nBlack Orange Black Black Black Black Orange Black Orange Orange Orange Black\nBlack Black Black Black Orange Orange Orange Black Black Black Orange Black\nBlack Black Orange Black Black Orange Black Orange Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Orange Orange Orange\nOrange Black Orange Black Orange Orange Black Orange Orange Black Orange Orange\nBlack Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange\nBlack Black Black Orange Black Black Black Orange Black Orange Orange Orange\n\nOutput:\nOrange Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Orange Orange Black Black Black Orange Black Black Black Black Black\nBlack Orange Orange Orange Black Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Black Orange Orange Black Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Black Orange Black Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Gray Gray Gray Black Gray Black Gray Black Black Gray\nGray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black\nGray Black Gray Black Black Gray Gray Black Gray Gray Black Black Black\nBlack Gray Gray Gray Black Gray Black Black Black Gray Gray Gray Black\nBlack Gray Black Black Gray Gray Black Gray Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Gray Gray Black Black\nGray Black Black Black Gray Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Gray Black Black\n\nOutput:\nGray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Gray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Black Gray Gray Black Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Gray Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Pink Black Black Pink Pink Pink Black Pink Black\nBlack Black Black Pink Black Black Pink Pink Black Pink Black\nPink Black Black Black Pink Pink Black Black Pink Pink Black\nPink Black Pink Pink Black Black Pink Pink Black Black Pink\nPink Pink Pink Pink Pink Black Black Black Black Pink Pink\nBlack Black Black Pink Black Pink Black Pink Black Black Pink\nBlack Pink Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink\nPink Pink Black Black Pink Pink Black Black Pink Pink Pink\nBlack Pink Black Black Black Pink Pink Black Black Black Black\nPink Black Black Black Pink Black Pink Pink Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Pink Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Black Black Black Black Black Black Pink Pink Pink\nPink Pink Black Black Pink Pink Pink Pink Black Black Black\nPink Black Black Black Pink Pink 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\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Gray Pink Pink Black Pink Pink Pink Black\nBlack Black Black Black Pink Pink Pink Pink Black Pink Gray Pink Black\nBlack Black Black Black Black Pink Pink Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Gray Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black 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 Brown Brown Brown Brown Black\nBlack Black Pink Black Black Black Black Black Brown Gray Brown Brown Black\nBlack Pink Gray Pink Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Pink Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack 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\nBlack Black Black Black Pink Black Pink Pink Black Pink Pink Pink Black\nBlack Black Black Black Pink Pink Pink Pink Black Pink Black Pink Black\nBlack Black Black Black Black Pink Pink Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black 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 Brown Brown Brown Brown Black\nBlack Black Pink Black Black Black Black Black Brown Black Brown Brown Black\nBlack Pink Black Pink Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Pink Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Gray Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Red Gray Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Green Black Black Black Red Red Red Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black\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 Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Red Black Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Green Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Gray Black 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 Gray Gray Gray Black Black Black Brown Black Black\nBlack Black Black Black Black Gray Black Black Black Black Brown Gray Brown Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Pink Black Black Black Black Black Brown Gray Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\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 Gray Black 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 Gray Gray Black Black Black Black Brown Black Black\nBlack Black Black Black Black Gray Black Black Black Black Brown Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Pink Black Black Black Black Black Brown Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Purple Gray Purple Black Black Black Purple Gray Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Purple 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 Green Green Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green 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 Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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\nBlack Black Black Purple Purple Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Purple Black Purple Black Black Black Purple Black Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Purple 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 Green Green Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green 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 Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Green Green Green Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Green Green Green Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Green Green Green Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray\nBrown Brown Brown Black Black Black Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue Brown Brown Brown\nBrown Brown Brown Black Black Black Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue Brown Brown Brown\nBrown Brown Brown Black Black Black Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue Brown Brown Brown\nPurple Purple Purple Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Purple Purple Purple\nGray Gray Gray Brown Brown Brown Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Brown Brown Brown Gray Gray Gray\nGray Gray Gray Brown Brown Brown Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Brown Brown Brown Gray Gray Gray\nGray Gray Gray Brown Brown Brown Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Brown Brown Brown Gray Gray Gray\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nGray Gray Gray Black Black Black Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Gray Gray Gray\nGray Gray Gray Black Black Black Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Gray Gray Gray\nGray Gray Gray Black Black Black Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlue Blue Blue Pink Pink Pink Black Black Black Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Black Black Black Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Black Black Black Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Black Black Black Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Black Black Black Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Black Black Black Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Blue Blue Blue Gray Gray Gray Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Blue Blue Blue Gray Gray Gray Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Blue Blue Blue Gray Gray Gray Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Brown Brown Brown Pink Pink Pink Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Brown Brown Brown Pink Pink Pink Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Brown Brown Brown Pink Pink Pink Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Black Black Black Brown Brown Brown Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Black Black Black Brown Brown Brown Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Black Black Black Brown Brown Brown Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nPurple Purple Purple Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Green Green Green Pink Pink Pink Purple Purple Purple\nGreen Green Green Red Red Red Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Red Red Red Green Green Green\nGreen Green Green Red Red Red Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Red Red Red Green Green Green\nGreen Green Green Red Red Red Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Red Red Red Green Green Green\nOrange Orange Orange Gray Gray Gray Orange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Gray Gray Gray Orange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Gray Gray Gray Orange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange\nGreen Green Green Orange Orange Orange Red Red Red Green Green Green Green Green Green Red Red Red Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Red Red Red Green Green Green Green Green Green Red Red Red Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Red Red Red Green Green Green Green Green Green Red Red Red Orange Orange Orange Green Green Green\nGreen Green Green Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Green Green Green\nGreen Green Green Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Green Green Green\nGreen Green Green Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Green Green Green\nPink Pink Pink Green Green Green Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Green Green Green Pink Pink Pink\nPink Pink Pink Green Green Green Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Green Green Green Pink Pink Pink\nPink Pink Pink Green Green Green Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Green Green Green Pink Pink Pink\nGreen Green Green Red Red Red Green Green Green Pink Pink Pink Pink Pink Pink Green Green Green Red Red Red Green Green Green\nGreen Green Green Red Red Red Green Green Green Pink Pink Pink Pink Pink Pink Green Green Green Red Red Red Green Green Green\nGreen Green Green Red Red Red Green Green Green Pink Pink Pink Pink Pink Pink Green Green Green Red Red Red Green Green Green\n\nOutput:\nPurple Purple Purple Pink Pink Pink Black Black Black Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Pink Pink Pink Black Black Black Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Pink Pink Pink Black Black Black Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Red Red Red Purple Purple Purple Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Red Red Red Purple Purple Purple Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Red Red Red Purple Purple Purple Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Gray Gray Gray Orange Orange Orange Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Gray Gray Gray Orange Orange Orange Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Gray Gray Gray Orange Orange Orange Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Orange Orange Orange Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Orange Orange Orange Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Orange Orange Orange Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Gray Gray Gray Green Green Green Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Gray Gray Gray Green Green Green Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Gray Gray Gray Green Green Green Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Green Green Green Gray Gray Gray Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Green Green Green Gray Gray Gray Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Green Green Green Gray Gray Gray Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Red Red Red Green Green Green Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Red Red Red Green Green Green Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Red Red Red Green Green Green Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nPurple Purple Purple Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Purple Purple Purple\nPurple Purple Purple Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Purple Purple Purple\nPurple Purple Purple Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Purple Purple Purple\nGreen Green Green Yellow Yellow Yellow Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Green Green Green\nGreen Green Green Yellow Yellow Yellow Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Green Green Green\nGreen Green Green Yellow Yellow Yellow Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Green Green Green\nPink Pink Pink Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink\nPink Pink Pink Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink\nPink Pink Pink Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink\nGreen Green Green Blue Blue Blue Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Purple Purple Purple Blue Blue Blue Green Green Green\nGreen Green Green Blue Blue Blue Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Purple Purple Purple Blue Blue Blue Green Green Green\nGreen Green Green Blue Blue Blue Purple Purple Purple Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Purple Purple Purple Blue Blue Blue Green Green Green\nGray Gray Gray Gray Gray Gray Green Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Green Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Green Green Green Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Gray Gray Gray Purple Purple Purple Black Black Black Gray Gray Gray Green Green Green Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Green Green Green Gray Gray Gray Purple Purple Purple Black Black Black Gray Gray Gray Green Green Green Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Green Green Green Gray Gray Gray Purple Purple Purple Black Black Black Gray Gray Gray Green Green Green Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue\n\nOutput:\nPurple Purple Purple Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Green Yellow Yellow Yellow Pink Pink Pink Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Green Yellow Yellow Yellow Pink Pink Pink Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Green Yellow Yellow Yellow Pink Pink Pink Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Green Blue Blue Blue Purple Purple Purple Gray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Green Blue Blue Blue Purple Purple Purple Gray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Green Blue Blue Blue Purple Purple Purple Gray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Green Green Green Yellow Yellow Yellow Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Green Green Green Yellow Yellow Yellow Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Green Green Green Yellow Yellow Yellow Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Blue Blue Blue Green Green Green Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Blue Blue Blue Green Green Green Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Blue Blue Blue Green Green Green Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Pink Pink Pink 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 Blue Blue Brown Brown Brown Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Brown Brown Brown Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Brown Brown Brown Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Brown Brown Brown Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Red Red Red Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Red Red Red Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Red Red Red Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Red Red Red Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Red Red Red Pink Pink Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Red Red Red Blue Blue Blue Purple Purple Purple\nBlue Blue Blue Pink Pink Pink Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Pink Pink Pink Blue Blue Blue\nPurple Purple Purple Red Red Red Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Red Red Red Purple Purple Purple\nPurple Purple Purple Red Red Red Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Red Red Red Purple Purple Purple\nPurple Purple Purple Red Red Red Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Red Red Red Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Red Red Red Purple Purple Purple Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Purple Purple Purple Red Red Red Pink Pink Pink\nPink Pink Pink Red Red Red Purple Purple Purple Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Purple Purple Purple Red Red Red Pink Pink Pink\nPink Pink Pink Red Red Red Purple Purple Purple Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Purple Purple Purple Red Red Red Pink Pink Pink\nBrown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Blue Blue Blue Black Black Black Brown Brown Brown\nBrown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Blue Blue Blue Black Black Black Brown Brown Brown\nBrown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Blue Blue Blue Black Black Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nGray Gray Gray Purple Purple Purple Red Red Red Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Red Red Red Purple Purple Purple Gray Gray Gray\nGray Gray Gray Purple Purple Purple Red Red Red Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Red Red Red Purple Purple Purple Gray Gray Gray\nGray Gray Gray Purple Purple Purple Red Red Red Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Red Red Red Purple Purple Purple Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Brown Brown Brown Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Brown Brown Brown Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Brown Brown Brown Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Blue Blue Blue Red Red Red Pink Pink Pink Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Blue Blue Blue Red Red Red Pink Pink Pink Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Blue Blue Blue Red Red Red Pink Pink Pink Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Red Red Red Red Red Red Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Red Red Red Red Red Red Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Red Red Red Red Red Red Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Red Red Red Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Red Red Red Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Red Red Red Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Red Red Red Purple Purple Purple Gray Gray Gray Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Red Red Red Purple Purple Purple Gray Gray Gray Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Red Red Red Purple Purple Purple Gray Gray Gray Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Purple Purple Purple Red Red Red Brown Brown Brown Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Purple Purple Purple Red Red Red Brown Brown Brown Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Purple Purple Purple Red Red Red Brown Brown Brown Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Red Black Black Black\nBlack Black Red Red Black\nRed Black Red Red Red\nBlack Black Black Black Red\n\nOutput:\nBlack Yellow Black Black Black\nBlack Black Red Red Black\nYellow Black Red Red Red\nBlack Black Black Black Red\n\n\nExample 2\nInput:\nRed Black Black Red\nRed Black Black Red\nBlack Red Red Red\nBlack Black Black Black\nRed Black Black Black\n\nOutput:\nRed Black Black Red\nRed Black Black Red\nBlack Red Red Red\nBlack Black Black Black\nYellow Black Black Black\n\n\nExample 3\nInput:\nBlack Black Red Black Red\nRed Black Black Red Red\nBlack Black Black Black Red\nRed Red Black Black Red\nBlack Black Black Red Black\n\nOutput:\nBlack Black Yellow Black Red\nYellow Black Black Red Red\nBlack Black Black Black Red\nRed Red Black Black Red\nBlack Black Black Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Black Black Black\nRed Red Black Black Red\nBlack Black Red Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Black Black Black\nRed Red Black Black Yellow\nBlack Black Red Red Black\n```",
"role": "assistant"
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]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Red Black Black Black Black Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Red Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Red Black Black Black Black Red Black Black\n\n\nExample 3\nInput:\nBlack 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 Gray Black Black\nBlack 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 Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack 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 Gray Black Black\nBlack 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 Gray Black Black\nBlack 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 Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\n\nOutput:\nBlack 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 Gray Black Black\nBlack 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 Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Red Red Red Red Red Red Red Gray Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Gray Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Gray Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Gray Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Gray Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Gray Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Gray Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Red Red Red Gray Black Black Black Black Black Black\nBlack Black Black Gray Red Red Red Gray Black Black Black Black Black Black\nBlack Black Black Gray Red Red Red Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray 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:\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 Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black 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 Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Purple Purple Purple Purple Purple Purple Black 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 Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\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\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\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\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink\nPink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Brown Brown Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Brown Brown\nBlue Blue Blue Blue Blue Blue Green Green Pink Pink Blue Blue Blue Blue Blue Blue Green Green Pink Pink Blue Blue Blue Blue Blue Blue Green Green Pink Pink\nBlue Blue Blue Blue Blue Blue Green Green Pink Pink Blue Blue Blue Blue Blue Blue Green Green Pink Pink Blue Blue Blue Blue Blue Blue Green Green Pink Pink\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Green Green Brown Brown\nBlack Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Green Green Brown Brown\nBlue Blue Blue Blue Blue Blue Green Green Pink Pink Blue Blue Blue Blue Blue Blue Green Green Pink Pink Blue Blue Blue Blue Blue Blue Green Green Pink Pink\nBlue Blue Blue Blue Blue Blue Green Green Pink Pink Blue Blue Blue Blue Blue Blue Green Green Pink Pink Blue Blue Blue Blue Blue Blue Green Green Pink Pink\nBlack Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Green Green Brown Brown\nBlack Black Black Black Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Green Green Brown Brown\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\n\n\nExample 2\nInput:\nPurple Purple Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black\nPurple Purple Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black\nYellow Yellow Gray Gray Brown Brown Brown Brown Yellow Yellow Gray Gray Brown Brown Brown Brown\nYellow Yellow Gray Gray Brown Brown Brown Brown Yellow Yellow Gray Gray Brown Brown Brown Brown\nRed Red Gray Gray Gray Gray Black Black Red Red Gray Gray Gray Gray Black Black\nRed Red Gray Gray Gray Gray Black Black Red Red Gray Gray Gray Gray Black Black\nYellow Yellow Gray Gray Brown Brown Brown Brown Yellow Yellow Gray Gray Brown Brown Brown Brown\nYellow Yellow Gray Gray Brown Brown Brown Brown Yellow Yellow Gray Gray Brown Brown Brown Brown\nPurple Purple Blue Blue Black Black Black Black Purple Purple Blue Blue Black Black Black Black\nPurple Purple Blue Blue Black Black Black Black Purple Purple Blue Blue Black Black Black Black\n\nOutput:\nPurple Purple Blue Blue Black Black Black Black Purple Purple Blue Blue Black Black Black Black\nPurple Purple Blue Blue Black Black Black Black Purple Purple Blue Blue Black Black Black Black\nYellow Yellow Gray Gray Brown Brown Brown Brown Yellow Yellow Gray Gray Brown Brown Brown Brown\nYellow Yellow Gray Gray Brown Brown Brown Brown Yellow Yellow Gray Gray Brown Brown Brown Brown\nRed Red Gray Gray Gray Gray Black Black Red Red Gray Gray Gray Gray Black Black\nRed Red Gray Gray Gray Gray Black Black Red Red Gray Gray Gray Gray Black Black\nYellow Yellow Gray Gray Brown Brown Brown Brown Yellow Yellow Gray Gray Brown Brown Brown Brown\nYellow Yellow Gray Gray Brown Brown Brown Brown Yellow Yellow Gray Gray Brown Brown Brown Brown\nPurple Purple Blue Blue Black Black Black Black Purple Purple Blue Blue Black Black Black Black\nPurple Purple Blue Blue Black Black Black Black Purple Purple Blue Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Green Green Red Red Red Red Black Black Black Black Green Green Red Red Red Red\nBlack Black Black Black Green Green Red Red Red Red Black Black Black Black Green Green Red Red Red Red\nBlack Black Yellow Yellow Black Black Red Red Red Red Black Black Yellow Yellow Black Black Red Red Red Red\nBlack Black Yellow Yellow Black Black Red Red Red Red Black Black Yellow Yellow Black Black Red Red Red Red\nBlue Blue Orange Orange Black Black Brown Brown Pink Pink Blue Blue Orange Orange Black Black Black Black Pink Pink\nBlue Blue Orange Orange Black Black Brown Brown Pink Pink Blue Blue Orange Orange Black Black Black Black Pink Pink\nBlack Black Orange Orange Pink Pink Pink Pink Pink Pink Black Black Orange Orange Pink Pink Pink Pink Pink Pink\nBlack Black Orange Orange Pink Pink Pink Pink Pink Pink Black Black Orange Orange Pink Pink Pink Pink Pink Pink\n\nOutput:\nBlack Black Yellow Yellow Black Black Red Red Red Red Black Black Yellow Yellow Black Black Red Red Red Red\nBlack Black Yellow Yellow Black Black Red Red Red Red Black Black Yellow Yellow Black Black Red Red Red Red\nBlack Black Black Black Green Green Red Red Red Red Black Black Black Black Green Green Red Red Red Red\nBlack Black Black Black Green Green Red Red Red Red Black Black Black Black Green Green Red Red Red Red\nBlack Black Yellow Yellow Black Black Red Red Red Red Black Black Yellow Yellow Black Black Red Red Red Red\nBlack Black Yellow Yellow Black Black Red Red Red Red Black Black Yellow Yellow Black Black Red Red Red Red\nBlue Blue Orange Orange Black Black Brown Brown Pink Pink Blue Blue Orange Orange Black Black Black Black Pink Pink\nBlue Blue Orange Orange Black Black Brown Brown Pink Pink Blue Blue Orange Orange Black Black Black Black Pink Pink\nBlack Black Orange Orange Pink Pink Pink Pink Pink Pink Black Black Orange Orange Pink Pink Pink Pink Pink Pink\nBlack Black Orange Orange Pink Pink Pink Pink Pink Pink Black Black Orange Orange Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Orange Orange Brown Brown Green Green Orange Orange Brown Brown Green Green Orange Orange Brown Brown\nGreen Green Orange Orange Brown Brown Green Green Orange Orange Brown Brown Green Green Orange Orange Brown Brown\nBlack Black Green Green Green Green Black Black Black Black Green Green Black Black Green Green Green Green\nBlack Black Green Green Green Green Black Black Black Black Green Green Black Black Green Green Green Green\nGreen Green Orange Orange Brown Brown Green Green Black Black Brown Brown Green Green Orange Orange Brown Brown\nGreen Green Orange Orange Brown Brown Green Green Black Black Brown Brown Green Green Orange Orange Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Orange Orange Brown Brown Green Green Orange Orange Brown Brown Green Green Orange Orange Brown Brown\nGreen Green Orange Orange Brown Brown Green Green Orange Orange Brown Brown Green Green Orange Orange Brown Brown\nBlack Black Green Green Green Green Black Black Black Black Green Green Black Black Green Green Green Green\nBlack Black Green Green Green Green Black Black Black Black Green Green Black Black Green Green Green Green\nGreen Green Orange Orange Brown Brown Green Green Orange Orange Brown Brown Green Green Orange Orange Brown Brown\nGreen Green Orange Orange Brown Brown Green Green Orange Orange Brown Brown Green Green Orange Orange 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 Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Pink Pink Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Pink Pink Orange Orange Orange Orange Black Black Black Black Black\nBlack Pink Pink Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Pink Black Pink Pink Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Brown Black Black Black Black\nBlack Black Black Black Black Brown Purple Purple Brown Brown Black Black Black\nBlack Black Black Black Black Brown Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Black Orange Orange Orange Black Black Black Black Black Black Black Black\nPink Pink Orange Orange Orange Orange Black Black Black Black Black Black Black\nPink Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Pink Pink Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Brown Black Black Black Black Black Black\nBlack Black Black Brown Purple Purple Brown Brown Black Black Black Black Black\nBlack Black Black Brown Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Red Red Red Black Black\nBlack Black Purple Black Black Brown Brown Red Red Red Black Black\nBlack Purple Purple Purple Black Black Brown Red Black Red Black Black\nBlack Black Purple Black Black Brown Brown Red Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Orange Black Black Blue Blue Blue Black Black Black Black\nBlack Orange Orange Orange Black Black Blue Blue Black Black Black Black\nBlack Black Orange 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 Red Red Red Black Black Black Black\nBlack Black Black Brown Brown Red Red Red Black Black Black Black\nBlack Black Black Black Brown Red Black Red Brown Brown Black Black\nBlack Black Black Brown Brown Red Black Brown Brown Brown Black Black\nBlack Black Black Blue Blue Blue Black Brown Brown Black Black Black\nBlack Black Black Blue Blue Blue Black Black Purple Black Black Black\nBlack Black Black Black Blue Blue Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple 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 Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Purple Black Black Black Black\nBlack Black Blue Blue Blue Orange Orange Orange Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Purple Black Black\nBlack Black Black Black Blue Red Red Orange Orange Orange Black Black\nBlack Black Black Black Blue Red Red Red Orange Orange Black Black\nBlack Black Black Black Blue Red Red Red 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Purple Pink Pink Pink Pink Gray Gray Black Black\nBlack Black Black Black Black Blue Pink Pink Pink Gray Gray Gray Black Black\nBlack Black Black Black Black Blue Pink Pink Pink Gray Gray Gray Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Gray Gray Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Purple Pink Pink Pink Pink Gray Gray Black Black Black Black\nBlack Black Black Blue Pink Pink Pink Gray Gray Gray Black Black Black Black\nBlack Black Black Blue Pink Pink Pink Gray Gray Gray Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Gray Gray Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black\nBlack Black Black Red Brown 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\nOutput:\nRed Black Black Red Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed Black Black Red Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed Black Black Red Black Black Red 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Orange Brown Black Black Black\nBlack Black Black Black Green Green Black Black Black\nBlack Black Black Green Orange Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Black Black Brown Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBrown Black Black Brown Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBrown Black Black Brown Black Black Brown 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Gray Black Black Black\nBlack Black Black Orange Brown Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nGray Black Black Gray Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGray Black Black Gray Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGray Black Black Gray Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\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 Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black 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```\nBlue Black Black Blue Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Black Blue Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Black Blue Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Brown Brown Brown\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Brown Brown Brown Brown\nGray Gray Gray Black Black Black Black Black Black Black Black Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGray Gray Gray Black Black Black Black Black Black Black Black Orange Orange Orange Orange Brown Brown Brown Brown Brown\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Gray Gray Gray Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Gray Gray Gray Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray 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 Black Black Black Black\nBlack Black Black Black 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 Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Gray Gray Gray Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Gray Gray Gray Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black 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 Black Black Black Black Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\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\nBrown Purple Green Blue Pink Yellow Gray Yellow Yellow Purple Purple\nBlue Brown Gray Purple Pink Pink Gray Purple Orange Green Yellow\nYellow Orange Brown Purple Brown Gray Yellow Purple Green Green Green\nPurple Blue Orange Green Orange Orange Red Purple Yellow Orange Purple\nGray Pink Blue Orange Gray Orange Brown Orange Orange Green Green\nBrown Orange Pink Gray Purple Brown Pink Yellow Pink Orange Purple\n\nOutput:\nBrown Orange Pink Gray Purple Brown Pink Yellow Pink Orange Purple\nGray Pink Blue Orange Gray Orange Brown Orange Orange Green Green\nPurple Blue Orange Green Orange Orange Red Purple Yellow Orange Purple\nYellow Orange Brown Purple Brown Gray Yellow Purple Green Green Green\nBlue Brown Gray Purple Pink Pink Gray Purple Orange Green Yellow\nBrown Purple Green Blue Pink Yellow Gray Yellow Yellow Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black\nBrown Purple Green Blue Pink Yellow Gray Yellow Yellow Purple Purple\nBlue Brown Gray Purple Pink Pink Gray Purple Orange Green Yellow\nYellow Orange Brown Purple Brown Gray Yellow Purple Green Green Green\nPurple Blue Orange Green Orange Orange Red Purple Yellow Orange Purple\nGray Pink Blue Orange Gray Orange Brown Orange Orange Green Green\nBrown Orange Pink Gray Purple Brown Pink Yellow Pink Orange Purple\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\nBrown Brown Orange Orange Pink Orange Gray Gray Brown Yellow Orange Pink Red\nOrange Pink Purple Yellow Gray Pink Gray Purple Red Purple Blue Pink Red\nGreen Blue Orange Pink Purple Purple Blue Yellow Orange Yellow Yellow Green Green\nPink Brown Orange Blue Orange Pink Brown Purple Purple Brown Brown Gray Brown\nPurple Blue Brown Orange Red Gray Blue Pink Green Red Blue Yellow Orange\n\nOutput:\nPurple Blue Brown Orange Red Gray Blue Pink Green Red Blue Yellow Orange\nPink Brown Orange Blue Orange Pink Brown Purple Purple Brown Brown Gray Brown\nGreen Blue Orange Pink Purple Purple Blue Yellow Orange Yellow Yellow Green Green\nOrange Pink Purple Yellow Gray Pink Gray Purple Red Purple Blue Pink Red\nBrown Brown Orange Orange Pink Orange Gray Gray Brown Yellow Orange Pink Red\nBrown Brown Orange Orange Pink Orange Gray Gray Brown Yellow Orange Pink Red\nOrange Pink Purple Yellow Gray Pink Gray Purple Red Purple Blue Pink Red\nGreen Blue Orange Pink Purple Purple Blue Yellow Orange Yellow Yellow Green Green\nPink Brown Orange Blue Orange Pink Brown Purple Purple Brown Brown Gray Brown\nPurple Blue Brown Orange Red Gray Blue Pink Green Red Blue Yellow Orange\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 Green Blue Gray Green Orange Blue Purple Pink Brown Brown Yellow Orange Blue\nYellow Yellow Blue Green Yellow Green Blue Green Brown Red Purple Orange Purple Blue\nBlue Gray Green Gray Blue Pink Brown Yellow Brown Purple Pink Gray Orange Purple\nPink Yellow Red Gray Orange Green Brown Blue Blue Purple Green Orange Yellow Purple\nBlue Pink Gray Orange Pink Purple Orange Blue Green Red Yellow Yellow Brown Gray\n\nOutput:\nBlue Pink Gray Orange Pink Purple Orange Blue Green Red Yellow Yellow Brown Gray\nPink Yellow Red Gray Orange Green Brown Blue Blue Purple Green Orange Yellow Purple\nBlue Gray Green Gray Blue Pink Brown Yellow Brown Purple Pink Gray Orange Purple\nYellow Yellow Blue Green Yellow Green Blue Green Brown Red Purple Orange Purple Blue\nBlue Green Blue Gray Green Orange Blue Purple Pink Brown Brown Yellow Orange Blue\nBlue Green Blue Gray Green Orange Blue Purple Pink Brown Brown Yellow Orange Blue\nYellow Yellow Blue Green Yellow Green Blue Green Brown Red Purple Orange Purple Blue\nBlue Gray Green Gray Blue Pink Brown Yellow Brown Purple Pink Gray Orange Purple\nPink Yellow Red Gray Orange Green Brown Blue Blue Purple Green Orange Yellow Purple\nBlue Pink Gray Orange Pink Purple Orange Blue Green Red Yellow Yellow Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Orange Yellow Red Blue Purple Red Gray Gray Yellow Blue Pink\nBlue Yellow Brown Orange Brown Purple Purple Red Green Blue Yellow Purple\nPurple Orange Brown Green Green Pink Red Orange Gray Green Purple Yellow\nOrange Blue Orange Purple Red Brown Pink Red Blue Gray Pink Orange\nOrange Blue Yellow Brown Purple Pink Pink Pink Orange Brown Brown Pink\nGray Pink Gray Pink Blue Brown Gray Brown Pink Green Gray Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Pink Gray Pink Blue Brown Gray Brown Pink Green Gray Pink\nOrange Blue Yellow Brown Purple Pink Pink Pink Orange Brown Brown Pink\nOrange Blue Orange Purple Red Brown Pink Red Blue Gray Pink Orange\nPurple Orange Brown Green Green Pink Red Orange Gray Green Purple Yellow\nBlue Yellow Brown Orange Brown Purple Purple Red Green Blue Yellow Purple\nBlue Orange Yellow Red Blue Purple Red Gray Gray Yellow Blue Pink\nBlue Orange Yellow Red Blue Purple Red Gray Gray Yellow Blue Pink\nBlue Yellow Brown Orange Brown Purple Purple Red Green Blue Yellow Purple\nPurple Orange Brown Green Green Pink Red Orange Gray Green Purple Yellow\nOrange Blue Orange Purple Red Brown Pink Red Blue Gray Pink Orange\nOrange Blue Yellow Brown Purple Pink Pink Pink Orange Brown Brown Pink\nGray Pink Gray Pink Blue Brown Gray Brown Pink Green Gray Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Blue Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Yellow Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Blue Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Yellow Black Black Black\nBlue Blue Blue Yellow Blue Blue Blue\nBlue Black Black Yellow Black Black Black\nBlue Black Black Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Black Black Yellow Black Black Black\nBlue Black Black Yellow Black Black Black\n\n\nExample 3\nInput:\nBlack Black Blue 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 Yellow Black Black Black\n\nOutput:\nBlue Blue Blue Yellow Blue Blue Blue\nBlack Black Blue Yellow Black Black Black\nBlack Black Blue Yellow Black Black Black\nBlack Black Blue Yellow Black Black Black\nBlack Black Blue Yellow Black Black Black\nBlack Black Blue Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black 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```\nYellow Black Black Blue Black Black Black Black Black\nYellow Black Black Blue Black Black Black Black Black\nYellow Black Black Blue Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Black Black Blue Black Black Black Black Black\nYellow Black Black Blue Black Black Black Black Black\nYellow Black Black Blue Black Black Black Black Black\nYellow Black Black Blue Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Blue Blue Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Orange\nBlack Black Black Black Black Black Black Black Blue Orange\nBlack Black Black Black Black Black Black Black Black Yellow\n\nOutput:\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Yellow Blue\nBlack Black Black Black Black Black Black Black Black Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Pink Pink Black Black\nBlack Yellow Purple Yellow Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange 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 Black Black 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 Blue Blue Black Black\nBlack Yellow Blue Yellow Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Blue Blue Black Black Green Black Black Black Black\nBlack Blue Blue Black Black Blue Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Yellow Pink Pink Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Blue Blue Black Black Yellow Black Black Black Black\nBlack Blue Blue Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Yellow Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue 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\nYellow Blue Yellow Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Blue Blue Black\nGreen Blue Black Black Black Black Black Blue Black Black\nGray Black Black Black Black Blue Purple Purple Black Black\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Red Pink 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\nYellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Yellow Yellow Black\nYellow Yellow Black Black Black Black Black Yellow Black Black\nBlue Black Black Black Black Yellow Blue Blue Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Orange Orange Black Green Green Black Black Black Black Black Orange Orange Orange\nBlack Orange Orange Orange Black Green Green Green Black Black Black Black Orange Orange Orange\nBlack Orange Orange Orange Black Black Green Green 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 Orange Orange\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Black\n\n\nExample 2\nInput:\nBlack Black Green Green Green Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Green Green Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Green Green Green Black Orange Orange Orange Orange Orange 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Orange\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Orange\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Orange Orange Black Orange Orange Black Black Black Black\nBlack Black Green Green Green Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Green Green Green Black Black Orange Orange Black Orange Orange Black Black Black\nBlack 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\n\nOutput:\nBlack Black Black Black Black Black Orange Orange Black Orange Orange Black Black Black Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Orange\nBlack Black Black Black Black Black Black Orange Orange Black Orange Orange Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Orange Black Black Black Green Black Green\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Green 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 Orange Black Black Black Black Black Black Black Black Orange\nBlack Black Black Orange Orange Orange Black Black Orange Black Black Black Black Black Orange\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Blue Black Black\n\nOutput:\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Green Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Blue Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black\nBlack Blue Black Black Blue Black Black Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black\nBlack Green Black Black Green Black Black Yellow Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Blue Black\nBlack Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Green Black\nBlack Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black\nBlack Green 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 Green Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Blue Black Black Blue Black Black Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Green\nBlack Black Green Black Black Green Black Black Green\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Gray Gray Black Black\nGray Gray Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red 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 Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Yellow 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Gray Gray Black Black Gray Black Black\nBlack Orange Gray Red Red Blue Orange Orange\nYellow Black Blue Black Black Blue Gray Yellow\nGray Gray Gray Black Black Gray Gray Black\nPink Blue Blue Black Black Blue Blue Pink\nBlack Blue Blue Black Black Blue Black Yellow\nBlack Pink Black Black Black Black Pink Orange\nOrange Pink Black Black Black Black Black Orange\n\nOutput:\nBlack Gray Gray Black Black Gray Gray Black\nOrange Orange Gray Red Red Gray Orange Orange\nYellow Gray Blue Black Black Blue Gray Yellow\nGray Gray Gray Black Black Gray Gray Gray\nPink Blue Blue Black Black Blue Blue Pink\nYellow Blue Blue Black Black Blue Blue Yellow\nOrange Pink Black Black Black Black Pink Orange\nOrange Pink Black Black Black Black Pink Orange\n\n\nExample 2\nInput:\nBlack Black Pink Purple Pink Black Black\nGreen Black Blue Purple Blue Green Green\nGray Yellow Blue Purple Blue Blue Green\nBrown Green Green Black Green Green Green\nPink Pink Purple Purple Purple Pink Black\nBlack Pink Green Gray Pink Pink Black\nBlack Black Purple Black Purple Black Black\n\nOutput:\nBlack Black Pink Purple Pink Black Black\nGreen Green Blue Purple Blue Green Green\nGray Yellow Blue Purple Blue Yellow Gray\nBrown Green Green Black Green Green Brown\nPink Pink Purple Purple Purple Pink Pink\nBlack Pink Green Gray Green Pink Black\nBlack Black Purple Black Purple Black Black\n\n\nExample 3\nInput:\nBlack Red Brown Pink Gray Pink Brown Red Black\nBlack Red Orange Orange Orange Orange Gray Black Black\nBlack Black Black Orange Pink Yellow Gray Blue Black\nPink Black Gray Black Pink Black Gray Purple Pink\nGreen Green Green Black Pink Black Gray Green Green\nBlack Green Black Black Black Black Black Green Black\nRed Red Black Black Black Black Red Red Orange\n\nOutput:\nBlack Red Brown Pink Gray Pink Brown Red Black\nBlack Red Orange Orange Orange Orange Orange Red Black\nBlack Blue Gray Orange Pink Orange Gray Blue Black\nPink Purple Gray Black Pink Black Gray Purple Pink\nGreen Green Green Black Pink Black Green Green Green\nBlack Green Black Black Black Black Black Green Black\nRed Red Red Black Black Black Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Pink Green Black Green Pink Pink Yellow\nYellow Brown Gray Green Pink Green Brown Brown Black\nOrange Green Orange Gray Pink Black Orange Green Yellow\nYellow Green Brown Brown Black Brown Brown Green Black\nBlack Brown Brown Brown Purple Brown Brown Brown Yellow\nGreen Red Red Brown Purple Brown Red Red Green\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Black Black Black Black\nBlack Black Black Red Purple Red Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Pink Pink Green Black Green Pink Pink Yellow\nYellow Brown Gray Green Pink Green Gray Brown Yellow\nOrange Green Orange Gray Pink Gray Orange Green Orange\nYellow Green Brown Brown Black Brown Brown Green Yellow\nYellow Brown Brown Brown Purple Brown Brown Brown Yellow\nGreen Red Red Brown Purple Brown Red Red Green\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Red Purple 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 Brown Black Black Brown Black Black\nBlack Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black\nBlack Brown Black Black Black Brown Brown Black\nBrown Black Brown Black Brown Brown Black Black\nBlack Black Black Brown Black Brown Yellow Black\n\nOutput:\nBlack Black Brown Black Black Brown Black Black\nBlack Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black\nBlack Brown Black Black Black Brown Brown Black\nBrown Black Brown Black Brown Brown Black Black\nBlack Black Black Brown Black Brown Black Black\n\n\nExample 2\nInput:\nBlack Black Black Green Green Green Black\nGreen Black Black Purple Green Black Black\nBlack Green Purple Black Black Green Green\nBlack Black Black Green Black Black Black\nGreen Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black\nPurple Green Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Green Green Black\nGreen Black Black Black Green Black Black\nBlack Green Black Black Black Green Green\nBlack Black Black Green Black Black Black\nGreen Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Green Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Gray Black Black\nGray Black Black Gray Black Black Black Black Black\nBlack Gray Gray Black Black Black Gray Black Black\nBlack Black Black Gray Gray Black Gray Black Black\nBlack Black Black Black Black Gray Black Gray Black\nBlack Black Gray Black Black Orange Gray Gray Gray\nBlack Black Black Black Orange Black Black Black Black\n\nOutput:\nGray Black Black Black Black Black Gray Black Black\nGray Black Black Gray Black Black Black Black Black\nBlack Gray Gray Black Black Black Gray Black Black\nBlack Black Black Gray Gray Black Gray Black Black\nBlack Black Black Black Black Gray Black Gray Black\nBlack Black Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Red Black Black Red\nBlack Black Black Black Red Red Black Black Red\nBlack Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Black Red\nBlack Black Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Red 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\nRed Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Red Black Black Red\nBlack Black Black Black Red Red Black Black Red\nBlack Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Green Green Blue Yellow Black Black\nBlack Green Green Blue Yellow Orange Black\nBlack Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Red Red Black Red Black Black\nBlack Black Red Red Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Blue Orange Yellow Black\nBlack Black Orange Yellow Black\nBlack Pink Green Black Black\nBlack Pink Green Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nRed Red Black Black Black\nRed Red Black Black Black\nRed Black Black Black Black\nRed Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Orange Yellow Black Black Black\nBlack Orange Yellow Pink Black Black\nBlack Black Black Pink Black Black\nBlack Blue Black Green Green Black\nBlack Blue Black Green Green Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nRed Black Black Black Black Black\nRed Red Black Black Black Black\nBlack Red Black Black Black Black\nRed Black Black Black Black Black\nRed Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Yellow Yellow Blue Blue Black\nBlack Yellow Yellow Blue Blue Black\nBlack Green Black Black Black Black\nBlack Black Pink Pink Orange Black\nBlack Black Pink Pink Orange 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\nRed Black Black Black Black Black\nRed Black Black Black Black Black\nRed Black Black Black Black Black\nBlack Black Red Black Black Black\nBlack Black Red 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow 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 Black Yellow Yellow 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 Black Yellow Yellow 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 Black Yellow Yellow 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Yellow Yellow 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 Black Yellow Yellow 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 Black Yellow Yellow 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 Black Yellow Yellow Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black 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 Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Black Green Green Green\nGreen Black Green Green Green\nBlack Green Green Green Green\nBlack Black Black Green Green\nBlack Green Black Green Green\nGreen Green Green Black Green\nGreen Black Green Black Green\nPink Pink Pink Pink Pink\nGreen Black Black Green Green\nBlack Green Green Green Black\nBlack Black Black Black Black\nGreen Black Green Green Black\nGreen Black Green Green Green\nBlack Green Black Black Green\nGreen Green Black Black Black\n\nOutput:\nPurple Black Purple Purple Purple\nPurple Purple Purple Purple Purple\nBlack Purple Purple Purple Purple\nPurple Black Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Black Purple\nPurple Purple Purple Black Purple\n\n\nExample 2\nInput:\nGreen Green Black Black Green Black Green\nGreen Green Green Black Black Black Black\nGreen Green Green Green Green Black Green\nGreen Black Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Pink\nBlack Black Green Green Green Black Green\nBlack Green Green Green Black Black Green\nGreen Green Green Black Black Black Black\nGreen Green Black Black Black Black Green\n\nOutput:\nPurple Purple Purple Purple Purple Black Purple\nPurple Purple Purple Purple Black Black Purple\nPurple Purple Purple Purple Purple Black Purple\nPurple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Green Green Green Black Black Green Green\nBlack Black Black Black Black Green Black Green\nBlack Green Green Black Black Black Black Green\nBlack Green Green Black Black Green Black Green\nPink Pink Pink Pink Pink Pink Pink Pink\nGreen Black Black Black Black Green Black Black\nBlack Black Black Green Green Green Black Green\nGreen Green Green Black Green Black Green Black\nBlack Green Green Black Black Black Black Green\n\nOutput:\nPurple Purple Purple Purple Black Purple Purple Purple\nBlack Black Black Purple Purple Purple Black Purple\nPurple Purple Purple Black Purple Black Purple Purple\nBlack Purple Purple Black Black Purple Black Purple\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Green Black Green\nGreen Black Green Black Black Black\nBlack Green Green Black Black Green\nGreen Black Green Black Black Green\nBlack Black Black Black Green Green\nGreen Green Black Green Black Black\nPink Pink Pink Pink Pink Pink\nBlack Green Green Black Green Green\nBlack Green Green Black Green Black\nBlack Black Green Black Black Green\nBlack Green Black Black Black Black\nGreen Green Green Black Black Green\nBlack Green Black Green Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Purple Black\nBlack Purple Purple Black Black Purple\nPurple Purple Purple Black Black Purple\nPurple Purple Purple Black Purple Purple\nPurple Purple Black Purple Purple Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Black Green\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Green\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Yellow Yellow Yellow Black Black Black Black\nGreen Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nGreen Black Green Black Black Yellow Yellow Yellow Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green\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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nGreen Green Green Yellow Yellow Black Black Black Black Black\nGreen Green Green Yellow Yellow Black Black Black Black Black\nGreen Green Green Yellow Yellow Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Green Black Black Black Black Black Black Black Black\nBlack Green Green Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Green Green Green Black\nBlack Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow 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 Gray Gray Gray Purple Purple Purple Black Black\nBrown Brown Brown Gray Gray Gray Purple Purple Purple Black Black\nBrown Brown Brown Gray Gray Gray Purple Purple Purple Black Black\nPurple Purple Purple Blue Blue Blue Purple Purple Purple Black Black\nPurple Purple Purple Blue Blue Blue Purple Purple Purple Black Black\nPurple Purple Purple Blue Blue Blue Purple Purple Purple Black Black\nPurple Purple Purple Blue Blue Blue Brown Brown Brown Black Black\nPurple Purple Purple Blue Blue Blue Brown Brown Brown Black Black\nPurple Purple Purple Blue Blue Blue Brown Brown Brown Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nPurple Purple Orange Orange Orange Orange Pink Pink\nPurple Purple Orange Orange Orange Orange Pink Pink\nGray Gray Pink Pink Orange Orange Orange Orange\nGray Gray Pink Pink Orange Orange Orange Orange\nOrange Orange Purple Purple Orange Orange Orange Orange\nOrange Orange Purple Purple Orange Orange Orange Orange\nPurple Purple Purple Purple Orange Orange Gray Gray\nPurple Purple Purple Purple Orange Orange Gray Gray\nOrange Orange Orange Orange Pink Pink Gray Gray\nOrange Orange Orange Orange Pink Pink Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Gray Gray Purple Purple\nBlue Blue Blue Blue Gray Gray Purple Purple\nGray Gray Blue Blue Gray Gray Orange Orange\nGray Gray Blue Blue Gray Gray Orange Orange\nPurple Purple Orange Orange Blue Blue Purple Purple\nPurple Purple Orange Orange Blue Blue Purple Purple\nOrange Orange Purple Purple Orange Orange Purple Purple\nOrange Orange Purple Purple Orange Orange Purple Purple\nPurple Purple Gray Gray Blue Blue Purple Purple\nPurple Purple Gray Gray Blue Blue Purple Purple\n\nOutput:\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 Purple Purple Purple\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 Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple 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 Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlue Blue Blue Brown Brown Brown Brown Brown Brown Black\nBlue Blue Blue Brown Brown Brown Brown Brown Brown Black\nBlue Blue Blue Brown Brown Brown Brown Brown Brown Black\nOrange Orange Orange Yellow Yellow Yellow Orange Orange Orange Black\nOrange Orange Orange Yellow Yellow Yellow Orange Orange Orange Black\nOrange Orange Orange Yellow Yellow Yellow Orange Orange Orange Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black 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\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\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\n```",
"role": "assistant"
}
]
|
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